Quizbank/Electricity and Magnetism (calculus based)/c05


calcPhyEMq/c05 ID153287923206 (Study guide)

Exams:  A0  A1  A2   B0  B1  B2   C0  C1  C2   D0  D1  D2   E0  E1  E2   F0  F1  F2   G0  G1  G2   H0  H1  H2   I0  I1  I2   J0  J1  J2   K0  K1  K2   L0  L1  L2   M0  M1  M2   N0  N1  N2   O0  O1  O2   P0  P1  P2   Q0  Q1  Q2   R0  R1  R2   S0  S1  S2   T0  T1  T2   U0  U1  U2   V0  V1  V2   W0  W1  W2   X0  X1  X2   Y0  Y1  Y2   Z0  Z1  Z2  

Answers:   A0  A1  A2   B0  B1  B2   C0  C1  C2   D0  D1  D2   E0  E1  E2   F0  F1  F2   G0  G1  G2   H0  H1  H2   I0  I1  I2   J0  J1  J2   K0  K1  K2   L0  L1  L2   M0  M1  M2   N0  N1  N2   O0  O1  O2   P0  P1  P2   Q0  Q1  Q2   R0  R1  R2   S0  S1  S2   T0  T1  T2   U0  U1  U2   V0  V1  V2   W0  W1  W2   X0  X1  X2   Y0  Y1  Y2   Z0  Z1  Z2  

78 Tests = 3 versions x 26 variations: Each of the 26 variations (A, B, ...) represents a different random selection of questions taken from the study guide.The 3 versions (0,1,..) all have the same questions but in different order and with different numerical inputs. Unless all students take version "0" it is best to reserve it for the instructor because the questions are grouped according to the order in which they appear on the study guide.

Links:   Quizbank/Instructions   Study guide   file:Quizbank153287923206.pdf

Contact me at User talk:Guy vandegrift if you need any help.


c05 A0

edit

1)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 7.517E+00 V/m2
b) 8.269E+00 V/m2
c) 9.096E+00 V/m2
d) 1.001E+01 V/m2
e) 1.101E+01 V/m2
2)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 2.544E-14 N
b) 2.798E-14 N
c) 3.078E-14 N
d) 3.385E-14 N
e) 3.724E-14 N
3)
A ring is uniformly charged with a net charge of 5 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
a) 4.788E+09 N/C2
b) 5.267E+09 N/C2
c) 5.793E+09 N/C2
d) 6.373E+09 N/C2
e) 7.010E+09 N/C2

4) A large thin isolated square plate has an area of 4 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

a) 4.821E+01 N/C
b) 5.303E+01 N/C
c) 5.834E+01 N/C
d) 6.417E+01 N/C
e) 7.059E+01 N/C




c05 A1

edit

1)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 7.517E+00 V/m2
b) 8.269E+00 V/m2
c) 9.096E+00 V/m2
d) 1.001E+01 V/m2
e) 1.101E+01 V/m2
2)
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.2 m (on axis) away from the loop's center?
a) 6.925E+09 N/C2
b) 7.617E+09 N/C2
c) 8.379E+09 N/C2
d) 9.217E+09 N/C2
e) 1.014E+10 N/C2

3) A large thin isolated square plate has an area of 8 m2. It is uniformly charged with 7 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

a) 4.492E+01 N/C
b) 4.941E+01 N/C
c) 5.435E+01 N/C
d) 5.979E+01 N/C
e) 6.577E+01 N/C
4)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 5.014E-14 N
b) 5.515E-14 N
c) 6.067E-14 N
d) 6.674E-14 N
e) 7.341E-14 N




c05 A2

edit
1)
A ring is uniformly charged with a net charge of 8 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.32 m (on axis) away from the loop's center?
a) 3.339E+09 N/C2
b) 3.673E+09 N/C2
c) 4.041E+09 N/C2
d) 4.445E+09 N/C2
e) 4.889E+09 N/C2

2) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

a) 8.471E+01 N/C
b) 9.318E+01 N/C
c) 1.025E+02 N/C
d) 1.127E+02 N/C
e) 1.240E+02 N/C

3)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 3.228E+00 V/m2
b) 3.551E+00 V/m2
c) 3.906E+00 V/m2
d) 4.297E+00 V/m2
e) 4.727E+00 V/m2
4)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 2.036E-14 N
b) 2.240E-14 N
c) 2.464E-14 N
d) 2.710E-14 N
e) 2.981E-14 N




c05 B0

edit

1)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 7.517E+00 V/m2
b) 8.269E+00 V/m2
c) 9.096E+00 V/m2
d) 1.001E+01 V/m2
e) 1.101E+01 V/m2
2)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 2.036E-14 N
b) 2.240E-14 N
c) 2.464E-14 N
d) 2.710E-14 N
e) 2.981E-14 N

3) A large thin isolated square plate has an area of 9 m2. It is uniformly charged with 6 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

a) 2.571E+01 N/C
b) 2.828E+01 N/C
c) 3.111E+01 N/C
d) 3.422E+01 N/C
e) 3.765E+01 N/C
4)
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
a) 1.764E+09 N/C2
b) 1.941E+09 N/C2
c) 2.135E+09 N/C2
d) 2.348E+09 N/C2
e) 2.583E+09 N/C2




c05 B1

edit

1) A large thin isolated square plate has an area of 5 m2. It is uniformly charged with 8 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

a) 6.171E+01 N/C
b) 6.788E+01 N/C
c) 7.467E+01 N/C
d) 8.214E+01 N/C
e) 9.035E+01 N/C
2)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 1.308E-13 N
b) 1.439E-13 N
c) 1.583E-13 N
d) 1.741E-13 N
e) 1.915E-13 N
3)
A ring is uniformly charged with a net charge of 3 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
a) 3.159E+09 N/C2
b) 3.475E+09 N/C2
c) 3.823E+09 N/C2
d) 4.205E+09 N/C2
e) 4.626E+09 N/C2

4)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 5.134E-01 V/m2
b) 5.648E-01 V/m2
c) 6.212E-01 V/m2
d) 6.834E-01 V/m2
e) 7.517E-01 V/m2




c05 B2

edit
1)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 2.248E-14 N
b) 2.473E-14 N
c) 2.721E-14 N
d) 2.993E-14 N
e) 3.292E-14 N
2)
A ring is uniformly charged with a net charge of 8 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.32 m (on axis) away from the loop's center?
a) 3.339E+09 N/C2
b) 3.673E+09 N/C2
c) 4.041E+09 N/C2
d) 4.445E+09 N/C2
e) 4.889E+09 N/C2

3) A large thin isolated square plate has an area of 8 m2. It is uniformly charged with 7 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

a) 4.492E+01 N/C
b) 4.941E+01 N/C
c) 5.435E+01 N/C
d) 5.979E+01 N/C
e) 6.577E+01 N/C

4)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 4.295E+00 V/m2
b) 4.724E+00 V/m2
c) 5.196E+00 V/m2
d) 5.716E+00 V/m2
e) 6.288E+00 V/m2




c05 C0

edit

1)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 8.933E+00 V/m2
b) 9.826E+00 V/m2
c) 1.081E+01 V/m2
d) 1.189E+01 V/m2
e) 1.308E+01 V/m2
2)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.8 m. Evaluate at x=1.0 m if a=1.0 m, b=1.8 m. The total charge on the rod is 6 nC.
a) 3.610E+00 V/m2
b) 3.971E+00 V/m2
c) 4.368E+00 V/m2
d) 4.804E+00 V/m2
e) 5.285E+00 V/m2
3)
A ring is uniformly charged with a net charge of 3 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.34 m (on axis) away from the loop's center?
a) 1.202E+09 N/C2
b) 1.322E+09 N/C2
c) 1.454E+09 N/C2
d) 1.599E+09 N/C2
e) 1.759E+09 N/C2
4)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.377E+01 degrees
b) 5.914E+01 degrees
c) 6.506E+01 degrees
d) 7.157E+01 degrees
e) 7.872E+01 degrees




c05 C1

edit
1)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.8 m. Evaluate at x=0.65 m if a=0.85 m, b=1.8 m. The total charge on the rod is 5 nC.
a) 3.959E+00 V/m2
b) 4.355E+00 V/m2
c) 4.790E+00 V/m2
d) 5.269E+00 V/m2
e) 5.796E+00 V/m2

2)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 9.459E+00 V/m2
b) 1.040E+01 V/m2
c) 1.145E+01 V/m2
d) 1.259E+01 V/m2
e) 1.385E+01 V/m2
3)
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
a) 1.764E+09 N/C2
b) 1.941E+09 N/C2
c) 2.135E+09 N/C2
d) 2.348E+09 N/C2
e) 2.583E+09 N/C2
4)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.377E+01 degrees
b) 5.914E+01 degrees
c) 6.506E+01 degrees
d) 7.157E+01 degrees
e) 7.872E+01 degrees




c05 C2

edit
1)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.569E+01 degrees
b) 6.125E+01 degrees
c) 6.738E+01 degrees
d) 7.412E+01 degrees
e) 8.153E+01 degrees

2)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 7.517E+00 V/m2
b) 8.269E+00 V/m2
c) 9.096E+00 V/m2
d) 1.001E+01 V/m2
e) 1.101E+01 V/m2
3)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.5 m. Evaluate at x=1.1 m if a=0.62 m, b=1.3 m. The total charge on the rod is 7 nC.
a) 6.311E+00 V/m2
b) 6.943E+00 V/m2
c) 7.637E+00 V/m2
d) 8.401E+00 V/m2
e) 9.241E+00 V/m2
4)
A ring is uniformly charged with a net charge of 8 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.32 m (on axis) away from the loop's center?
a) 3.339E+09 N/C2
b) 3.673E+09 N/C2
c) 4.041E+09 N/C2
d) 4.445E+09 N/C2
e) 4.889E+09 N/C2




c05 D0

edit

1)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 1.258E+00 V/m2
b) 1.384E+00 V/m2
c) 1.522E+00 V/m2
d) 1.674E+00 V/m2
e) 1.842E+00 V/m2

2) A large thin isolated square plate has an area of 9 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

a) 2.357E+01 N/C
b) 2.593E+01 N/C
c) 2.852E+01 N/C
d) 3.137E+01 N/C
e) 3.451E+01 N/C
3)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 3.876E-14 N
b) 4.263E-14 N
c) 4.690E-14 N
d) 5.159E-14 N
e) 5.675E-14 N
4)
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
a) 1.764E+09 N/C2
b) 1.941E+09 N/C2
c) 2.135E+09 N/C2
d) 2.348E+09 N/C2
e) 2.583E+09 N/C2




c05 D1

edit
1)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 1.473E-14 N
b) 1.620E-14 N
c) 1.782E-14 N
d) 1.960E-14 N
e) 2.156E-14 N
2)
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.99 m (on axis) away from the loop's center?
a) 2.429E+09 N/C2
b) 2.672E+09 N/C2
c) 2.939E+09 N/C2
d) 3.233E+09 N/C2
e) 3.556E+09 N/C2

3)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 7.820E-01 V/m2
b) 8.602E-01 V/m2
c) 9.462E-01 V/m2
d) 1.041E+00 V/m2
e) 1.145E+00 V/m2

4) A large thin isolated square plate has an area of 4 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

a) 4.821E+01 N/C
b) 5.303E+01 N/C
c) 5.834E+01 N/C
d) 6.417E+01 N/C
e) 7.059E+01 N/C




c05 D2

edit

1) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 6 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?

a) 5.647E+01 N/C
b) 6.212E+01 N/C
c) 6.833E+01 N/C
d) 7.516E+01 N/C
e) 8.268E+01 N/C
2)
A ring is uniformly charged with a net charge of 3 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
a) 3.159E+09 N/C2
b) 3.475E+09 N/C2
c) 3.823E+09 N/C2
d) 4.205E+09 N/C2
e) 4.626E+09 N/C2
3)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 3.391E-14 N
b) 3.731E-14 N
c) 4.104E-14 N
d) 4.514E-14 N
e) 4.965E-14 N

4)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 7.517E+00 V/m2
b) 8.269E+00 V/m2
c) 9.096E+00 V/m2
d) 1.001E+01 V/m2
e) 1.101E+01 V/m2




c05 E0

edit
1)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 3.426E-15 N
b) 3.768E-15 N
c) 4.145E-15 N
d) 4.560E-15 N
e) 5.015E-15 N

2) A large thin isolated square plate has an area of 5 m2. It is uniformly charged with 7 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

a) 6.534E+01 N/C
b) 7.187E+01 N/C
c) 7.906E+01 N/C
d) 8.696E+01 N/C
e) 9.566E+01 N/C
3)
A ring is uniformly charged with a net charge of 9 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.73 m (on axis) away from the loop's center?
a) 7.415E+09 N/C2
b) 8.156E+09 N/C2
c) 8.972E+09 N/C2
d) 9.869E+09 N/C2
e) 1.086E+10 N/C2
4)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.4 m. Evaluate at x=1.1 m if a=0.69 m, b=2.2 m. The total charge on the rod is 6 nC.
a) 3.161E+00 V/m2
b) 3.477E+00 V/m2
c) 3.825E+00 V/m2
d) 4.208E+00 V/m2
e) 4.628E+00 V/m2




c05 E1

edit
1)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.2 m. Evaluate at x=0.54 m if a=0.76 m, b=1.7 m. The total charge on the rod is 8 nC.
a) 1.399E+01 V/m2
b) 1.539E+01 V/m2
c) 1.693E+01 V/m2
d) 1.862E+01 V/m2
e) 2.049E+01 V/m2
2)
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.35 m (on axis) away from the loop's center?
a) 4.142E+09 N/C2
b) 4.556E+09 N/C2
c) 5.012E+09 N/C2
d) 5.513E+09 N/C2
e) 6.064E+09 N/C2

3) A large thin isolated square plate has an area of 5 m2. It is uniformly charged with 7 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

a) 6.534E+01 N/C
b) 7.187E+01 N/C
c) 7.906E+01 N/C
d) 8.696E+01 N/C
e) 9.566E+01 N/C
4)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 2.544E-14 N
b) 2.798E-14 N
c) 3.078E-14 N
d) 3.385E-14 N
e) 3.724E-14 N




c05 E2

edit
1)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.8 m. Evaluate at x=1.0 m if a=1.0 m, b=1.8 m. The total charge on the rod is 6 nC.
a) 3.610E+00 V/m2
b) 3.971E+00 V/m2
c) 4.368E+00 V/m2
d) 4.804E+00 V/m2
e) 5.285E+00 V/m2

2) A large thin isolated square plate has an area of 5 m2. It is uniformly charged with 7 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

a) 6.534E+01 N/C
b) 7.187E+01 N/C
c) 7.906E+01 N/C
d) 8.696E+01 N/C
e) 9.566E+01 N/C
3)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 2.544E-14 N
b) 2.798E-14 N
c) 3.078E-14 N
d) 3.385E-14 N
e) 3.724E-14 N
4)
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
a) 1.764E+09 N/C2
b) 1.941E+09 N/C2
c) 2.135E+09 N/C2
d) 2.348E+09 N/C2
e) 2.583E+09 N/C2




c05 F0

edit
1)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 2.544E-14 N
b) 2.798E-14 N
c) 3.078E-14 N
d) 3.385E-14 N
e) 3.724E-14 N
2)
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.34 m (on axis) away from the loop's center?
a) 3.672E+09 N/C2
b) 4.039E+09 N/C2
c) 4.443E+09 N/C2
d) 4.887E+09 N/C2
e) 5.376E+09 N/C2

3) A large thin isolated square plate has an area of 3 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

a) 9.412E+01 N/C
b) 1.035E+02 N/C
c) 1.139E+02 N/C
d) 1.253E+02 N/C
e) 1.378E+02 N/C

4)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 8.253E-01 V/m2
b) 9.079E-01 V/m2
c) 9.987E-01 V/m2
d) 1.099E+00 V/m2
e) 1.208E+00 V/m2




c05 F1

edit

1)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 8.933E+00 V/m2
b) 9.826E+00 V/m2
c) 1.081E+01 V/m2
d) 1.189E+01 V/m2
e) 1.308E+01 V/m2
2)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 5.732E-15 N
b) 6.305E-15 N
c) 6.936E-15 N
d) 7.629E-15 N
e) 8.392E-15 N

3) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

a) 3.214E+01 N/C
b) 3.536E+01 N/C
c) 3.889E+01 N/C
d) 4.278E+01 N/C
e) 4.706E+01 N/C
4)
A ring is uniformly charged with a net charge of 3 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
a) 3.159E+09 N/C2
b) 3.475E+09 N/C2
c) 3.823E+09 N/C2
d) 4.205E+09 N/C2
e) 4.626E+09 N/C2




c05 F2

edit
1)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 8.259E-15 N
b) 9.085E-15 N
c) 9.993E-15 N
d) 1.099E-14 N
e) 1.209E-14 N
2)
A ring is uniformly charged with a net charge of 3 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
a) 3.159E+09 N/C2
b) 3.475E+09 N/C2
c) 3.823E+09 N/C2
d) 4.205E+09 N/C2
e) 4.626E+09 N/C2

3)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 2.898E+01 V/m2
b) 3.188E+01 V/m2
c) 3.507E+01 V/m2
d) 3.857E+01 V/m2
e) 4.243E+01 V/m2

4) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

a) 3.214E+01 N/C
b) 3.536E+01 N/C
c) 3.889E+01 N/C
d) 4.278E+01 N/C
e) 4.706E+01 N/C




c05 G0

edit

1)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 7.517E+00 V/m2
b) 8.269E+00 V/m2
c) 9.096E+00 V/m2
d) 1.001E+01 V/m2
e) 1.101E+01 V/m2
2)
A ring is uniformly charged with a net charge of 3 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.34 m (on axis) away from the loop's center?
a) 1.202E+09 N/C2
b) 1.322E+09 N/C2
c) 1.454E+09 N/C2
d) 1.599E+09 N/C2
e) 1.759E+09 N/C2

3) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

a) 7.701E+01 N/C
b) 8.471E+01 N/C
c) 9.318E+01 N/C
d) 1.025E+02 N/C
e) 1.127E+02 N/C
4)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.377E+01 degrees
b) 5.914E+01 degrees
c) 6.506E+01 degrees
d) 7.157E+01 degrees
e) 7.872E+01 degrees




c05 G1

edit

1) A large thin isolated square plate has an area of 5 m2. It is uniformly charged with 8 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

a) 6.171E+01 N/C
b) 6.788E+01 N/C
c) 7.467E+01 N/C
d) 8.214E+01 N/C
e) 9.035E+01 N/C
2)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.377E+01 degrees
b) 5.914E+01 degrees
c) 6.506E+01 degrees
d) 7.157E+01 degrees
e) 7.872E+01 degrees
3)
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.5 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.33 m (on axis) away from the loop's center?
a) 1.353E+09 N/C2
b) 1.488E+09 N/C2
c) 1.637E+09 N/C2
d) 1.801E+09 N/C2
e) 1.981E+09 N/C2

4)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 5.647E+00 V/m2
b) 6.212E+00 V/m2
c) 6.833E+00 V/m2
d) 7.517E+00 V/m2
e) 8.268E+00 V/m2




c05 G2

edit
1)
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.34 m (on axis) away from the loop's center?
a) 3.672E+09 N/C2
b) 4.039E+09 N/C2
c) 4.443E+09 N/C2
d) 4.887E+09 N/C2
e) 5.376E+09 N/C2

2)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 4.961E-01 V/m2
b) 5.457E-01 V/m2
c) 6.002E-01 V/m2
d) 6.603E-01 V/m2
e) 7.263E-01 V/m2
3)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.272E+01 degrees
b) 5.799E+01 degrees
c) 6.379E+01 degrees
d) 7.017E+01 degrees
e) 7.719E+01 degrees

4) A large thin isolated square plate has an area of 4 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

a) 4.821E+01 N/C
b) 5.303E+01 N/C
c) 5.834E+01 N/C
d) 6.417E+01 N/C
e) 7.059E+01 N/C




c05 H0

edit
1)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 6.343E+01 degrees
b) 6.978E+01 degrees
c) 7.676E+01 degrees
d) 8.443E+01 degrees
e) 9.288E+01 degrees

2)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 7.820E-01 V/m2
b) 8.602E-01 V/m2
c) 9.462E-01 V/m2
d) 1.041E+00 V/m2
e) 1.145E+00 V/m2

3) A large thin isolated square plate has an area of 4 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

a) 4.821E+01 N/C
b) 5.303E+01 N/C
c) 5.834E+01 N/C
d) 6.417E+01 N/C
e) 7.059E+01 N/C
4)
A ring is uniformly charged with a net charge of 6 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.4 m (on axis) away from the loop's center?
a) 2.013E+09 N/C2
b) 2.214E+09 N/C2
c) 2.435E+09 N/C2
d) 2.679E+09 N/C2
e) 2.947E+09 N/C2




c05 H1

edit
1)
A ring is uniformly charged with a net charge of 6 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.4 m (on axis) away from the loop's center?
a) 2.013E+09 N/C2
b) 2.214E+09 N/C2
c) 2.435E+09 N/C2
d) 2.679E+09 N/C2
e) 2.947E+09 N/C2
2)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.272E+01 degrees
b) 5.799E+01 degrees
c) 6.379E+01 degrees
d) 7.017E+01 degrees
e) 7.719E+01 degrees

3) A large thin isolated square plate has an area of 5 m2. It is uniformly charged with 8 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

a) 6.171E+01 N/C
b) 6.788E+01 N/C
c) 7.467E+01 N/C
d) 8.214E+01 N/C
e) 9.035E+01 N/C

4)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 8.253E-01 V/m2
b) 9.079E-01 V/m2
c) 9.987E-01 V/m2
d) 1.099E+00 V/m2
e) 1.208E+00 V/m2




c05 H2

edit
1)
A ring is uniformly charged with a net charge of 5 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
a) 4.788E+09 N/C2
b) 5.267E+09 N/C2
c) 5.793E+09 N/C2
d) 6.373E+09 N/C2
e) 7.010E+09 N/C2

2)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 1.258E+00 V/m2
b) 1.384E+00 V/m2
c) 1.522E+00 V/m2
d) 1.674E+00 V/m2
e) 1.842E+00 V/m2

3) A large thin isolated square plate has an area of 4 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

a) 4.821E+01 N/C
b) 5.303E+01 N/C
c) 5.834E+01 N/C
d) 6.417E+01 N/C
e) 7.059E+01 N/C
4)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 3.719E+01 degrees
b) 4.091E+01 degrees
c) 4.500E+01 degrees
d) 4.950E+01 degrees
e) 5.445E+01 degrees




c05 I0

edit
1)
A ring is uniformly charged with a net charge of 5 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
a) 4.788E+09 N/C2
b) 5.267E+09 N/C2
c) 5.793E+09 N/C2
d) 6.373E+09 N/C2
e) 7.010E+09 N/C2
2)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.569E+01 degrees
b) 6.125E+01 degrees
c) 6.738E+01 degrees
d) 7.412E+01 degrees
e) 8.153E+01 degrees

3)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 1.258E+00 V/m2
b) 1.384E+00 V/m2
c) 1.522E+00 V/m2
d) 1.674E+00 V/m2
e) 1.842E+00 V/m2
4)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 8.259E-15 N
b) 9.085E-15 N
c) 9.993E-15 N
d) 1.099E-14 N
e) 1.209E-14 N




c05 I1

edit
1)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 3.961E+01 degrees
b) 4.357E+01 degrees
c) 4.793E+01 degrees
d) 5.272E+01 degrees
e) 5.799E+01 degrees
2)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 2.248E-14 N
b) 2.473E-14 N
c) 2.721E-14 N
d) 2.993E-14 N
e) 3.292E-14 N

3)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 4.295E+00 V/m2
b) 4.724E+00 V/m2
c) 5.196E+00 V/m2
d) 5.716E+00 V/m2
e) 6.288E+00 V/m2
4)
A ring is uniformly charged with a net charge of 3 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.34 m (on axis) away from the loop's center?
a) 1.202E+09 N/C2
b) 1.322E+09 N/C2
c) 1.454E+09 N/C2
d) 1.599E+09 N/C2
e) 1.759E+09 N/C2




c05 I2

edit
1)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 6.125E+01 degrees
b) 6.738E+01 degrees
c) 7.412E+01 degrees
d) 8.153E+01 degrees
e) 8.968E+01 degrees
2)
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
a) 1.764E+09 N/C2
b) 1.941E+09 N/C2
c) 2.135E+09 N/C2
d) 2.348E+09 N/C2
e) 2.583E+09 N/C2
3)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 1.308E-13 N
b) 1.439E-13 N
c) 1.583E-13 N
d) 1.741E-13 N
e) 1.915E-13 N

4)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 7.820E-01 V/m2
b) 8.602E-01 V/m2
c) 9.462E-01 V/m2
d) 1.041E+00 V/m2
e) 1.145E+00 V/m2




c05 J0

edit
1)
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.5 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.33 m (on axis) away from the loop's center?
a) 1.353E+09 N/C2
b) 1.488E+09 N/C2
c) 1.637E+09 N/C2
d) 1.801E+09 N/C2
e) 1.981E+09 N/C2
2)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.569E+01 degrees
b) 6.125E+01 degrees
c) 6.738E+01 degrees
d) 7.412E+01 degrees
e) 8.153E+01 degrees

3)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 1.606E+00 V/m2
b) 1.767E+00 V/m2
c) 1.943E+00 V/m2
d) 2.138E+00 V/m2
e) 2.351E+00 V/m2
4)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 3.876E-14 N
b) 4.263E-14 N
c) 4.690E-14 N
d) 5.159E-14 N
e) 5.675E-14 N




c05 J1

edit
1)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.243E+01 degrees
b) 5.767E+01 degrees
c) 6.343E+01 degrees
d) 6.978E+01 degrees
e) 7.676E+01 degrees
2)
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
a) 8.336E+09 N/C2
b) 9.170E+09 N/C2
c) 1.009E+10 N/C2
d) 1.110E+10 N/C2
e) 1.220E+10 N/C2
3)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 5.243E-14 N
b) 5.768E-14 N
c) 6.344E-14 N
d) 6.979E-14 N
e) 7.677E-14 N

4)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 3.228E+00 V/m2
b) 3.551E+00 V/m2
c) 3.906E+00 V/m2
d) 4.297E+00 V/m2
e) 4.727E+00 V/m2




c05 J2

edit
1)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 3.961E+01 degrees
b) 4.357E+01 degrees
c) 4.793E+01 degrees
d) 5.272E+01 degrees
e) 5.799E+01 degrees

2)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 1.258E+00 V/m2
b) 1.384E+00 V/m2
c) 1.522E+00 V/m2
d) 1.674E+00 V/m2
e) 1.842E+00 V/m2
3)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 4.171E-14 N
b) 4.588E-14 N
c) 5.047E-14 N
d) 5.551E-14 N
e) 6.107E-14 N
4)
A ring is uniformly charged with a net charge of 6 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.4 m (on axis) away from the loop's center?
a) 2.013E+09 N/C2
b) 2.214E+09 N/C2
c) 2.435E+09 N/C2
d) 2.679E+09 N/C2
e) 2.947E+09 N/C2




c05 K0

edit
1)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.569E+01 degrees
b) 6.125E+01 degrees
c) 6.738E+01 degrees
d) 7.412E+01 degrees
e) 8.153E+01 degrees
2)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 4.171E-14 N
b) 4.588E-14 N
c) 5.047E-14 N
d) 5.551E-14 N
e) 6.107E-14 N
3)
A ring is uniformly charged with a net charge of 6 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.4 m (on axis) away from the loop's center?
a) 2.013E+09 N/C2
b) 2.214E+09 N/C2
c) 2.435E+09 N/C2
d) 2.679E+09 N/C2
e) 2.947E+09 N/C2

4)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 7.820E-01 V/m2
b) 8.602E-01 V/m2
c) 9.462E-01 V/m2
d) 1.041E+00 V/m2
e) 1.145E+00 V/m2




c05 K1

edit
1)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 8.259E-15 N
b) 9.085E-15 N
c) 9.993E-15 N
d) 1.099E-14 N
e) 1.209E-14 N

2)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 8.253E-01 V/m2
b) 9.079E-01 V/m2
c) 9.987E-01 V/m2
d) 1.099E+00 V/m2
e) 1.208E+00 V/m2
3)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 6.125E+01 degrees
b) 6.738E+01 degrees
c) 7.412E+01 degrees
d) 8.153E+01 degrees
e) 8.968E+01 degrees
4)
A ring is uniformly charged with a net charge of 9 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.4 m (on axis) away from the loop's center?
a) 7.119E+09 N/C2
b) 7.831E+09 N/C2
c) 8.614E+09 N/C2
d) 9.476E+09 N/C2
e) 1.042E+10 N/C2




c05 K2

edit
1)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 3.629E+01 degrees
b) 3.992E+01 degrees
c) 4.391E+01 degrees
d) 4.830E+01 degrees
e) 5.313E+01 degrees
2)
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.2 m (on axis) away from the loop's center?
a) 6.925E+09 N/C2
b) 7.617E+09 N/C2
c) 8.379E+09 N/C2
d) 9.217E+09 N/C2
e) 1.014E+10 N/C2
3)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 5.014E-14 N
b) 5.515E-14 N
c) 6.067E-14 N
d) 6.674E-14 N
e) 7.341E-14 N

4)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 1.022E+00 V/m2
b) 1.125E+00 V/m2
c) 1.237E+00 V/m2
d) 1.361E+00 V/m2
e) 1.497E+00 V/m2




c05 L0

edit
1)
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.34 m (on axis) away from the loop's center?
a) 3.672E+09 N/C2
b) 4.039E+09 N/C2
c) 4.443E+09 N/C2
d) 4.887E+09 N/C2
e) 5.376E+09 N/C2
2)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.767E+01 degrees
b) 6.343E+01 degrees
c) 6.978E+01 degrees
d) 7.676E+01 degrees
e) 8.443E+01 degrees

3) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

a) 8.471E+01 N/C
b) 9.318E+01 N/C
c) 1.025E+02 N/C
d) 1.127E+02 N/C
e) 1.240E+02 N/C

4)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 8.933E+00 V/m2
b) 9.826E+00 V/m2
c) 1.081E+01 V/m2
d) 1.189E+01 V/m2
e) 1.308E+01 V/m2




c05 L1

edit

1) A large thin isolated square plate has an area of 3 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

a) 9.412E+01 N/C
b) 1.035E+02 N/C
c) 1.139E+02 N/C
d) 1.253E+02 N/C
e) 1.378E+02 N/C
2)
A ring is uniformly charged with a net charge of 4 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.0 m (on axis) away from the loop's center?
a) 5.352E+09 N/C2
b) 5.887E+09 N/C2
c) 6.476E+09 N/C2
d) 7.124E+09 N/C2
e) 7.836E+09 N/C2

3)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 8.253E-01 V/m2
b) 9.079E-01 V/m2
c) 9.987E-01 V/m2
d) 1.099E+00 V/m2
e) 1.208E+00 V/m2
4)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.272E+01 degrees
b) 5.799E+01 degrees
c) 6.379E+01 degrees
d) 7.017E+01 degrees
e) 7.719E+01 degrees




c05 L2

edit
1)
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
a) 1.764E+09 N/C2
b) 1.941E+09 N/C2
c) 2.135E+09 N/C2
d) 2.348E+09 N/C2
e) 2.583E+09 N/C2

2) A large thin isolated square plate has an area of 3 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

a) 9.412E+01 N/C
b) 1.035E+02 N/C
c) 1.139E+02 N/C
d) 1.253E+02 N/C
e) 1.378E+02 N/C

3)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 4.961E-01 V/m2
b) 5.457E-01 V/m2
c) 6.002E-01 V/m2
d) 6.603E-01 V/m2
e) 7.263E-01 V/m2
4)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 4.743E+01 degrees
b) 5.217E+01 degrees
c) 5.739E+01 degrees
d) 6.313E+01 degrees
e) 6.944E+01 degrees




c05 M0

edit
1)
A ring is uniformly charged with a net charge of 3 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.34 m (on axis) away from the loop's center?
a) 1.202E+09 N/C2
b) 1.322E+09 N/C2
c) 1.454E+09 N/C2
d) 1.599E+09 N/C2
e) 1.759E+09 N/C2
2)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.272E+01 degrees
b) 5.799E+01 degrees
c) 6.379E+01 degrees
d) 7.017E+01 degrees
e) 7.719E+01 degrees

3)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 4.961E-01 V/m2
b) 5.457E-01 V/m2
c) 6.002E-01 V/m2
d) 6.603E-01 V/m2
e) 7.263E-01 V/m2

4) A large thin isolated square plate has an area of 5 m2. It is uniformly charged with 7 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

a) 6.534E+01 N/C
b) 7.187E+01 N/C
c) 7.906E+01 N/C
d) 8.696E+01 N/C
e) 9.566E+01 N/C




c05 M1

edit
1)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 3.629E+01 degrees
b) 3.992E+01 degrees
c) 4.391E+01 degrees
d) 4.830E+01 degrees
e) 5.313E+01 degrees

2) A large thin isolated square plate has an area of 4 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?

a) 9.546E+01 N/C
b) 1.050E+02 N/C
c) 1.155E+02 N/C
d) 1.271E+02 N/C
e) 1.398E+02 N/C

3)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 8.253E-01 V/m2
b) 9.079E-01 V/m2
c) 9.987E-01 V/m2
d) 1.099E+00 V/m2
e) 1.208E+00 V/m2
4)
A ring is uniformly charged with a net charge of 3 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.34 m (on axis) away from the loop's center?
a) 1.202E+09 N/C2
b) 1.322E+09 N/C2
c) 1.454E+09 N/C2
d) 1.599E+09 N/C2
e) 1.759E+09 N/C2




c05 M2

edit

1)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 8.924E-01 V/m2
b) 9.816E-01 V/m2
c) 1.080E+00 V/m2
d) 1.188E+00 V/m2
e) 1.307E+00 V/m2

2) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?

a) 3.214E+01 N/C
b) 3.536E+01 N/C
c) 3.889E+01 N/C
d) 4.278E+01 N/C
e) 4.706E+01 N/C
3)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 3.719E+01 degrees
b) 4.091E+01 degrees
c) 4.500E+01 degrees
d) 4.950E+01 degrees
e) 5.445E+01 degrees
4)
A ring is uniformly charged with a net charge of 5 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
a) 4.788E+09 N/C2
b) 5.267E+09 N/C2
c) 5.793E+09 N/C2
d) 6.373E+09 N/C2
e) 7.010E+09 N/C2




c05 N0

edit

1) A large thin isolated square plate has an area of 3 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

a) 1.694E+02 N/C
b) 1.864E+02 N/C
c) 2.050E+02 N/C
d) 2.255E+02 N/C
e) 2.480E+02 N/C
2)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.569E+01 degrees
b) 6.125E+01 degrees
c) 6.738E+01 degrees
d) 7.412E+01 degrees
e) 8.153E+01 degrees
3)
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.35 m (on axis) away from the loop's center?
a) 4.142E+09 N/C2
b) 4.556E+09 N/C2
c) 5.012E+09 N/C2
d) 5.513E+09 N/C2
e) 6.064E+09 N/C2
4)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.9 m. Evaluate at x=0.96 m if a=0.95 m, b=1.8 m. The total charge on the rod is 7 nC.
a) 3.385E+00 V/m2
b) 3.724E+00 V/m2
c) 4.096E+00 V/m2
d) 4.506E+00 V/m2
e) 4.957E+00 V/m2




c05 N1

edit

1) A large thin isolated square plate has an area of 5 m2. It is uniformly charged with 7 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

a) 6.534E+01 N/C
b) 7.187E+01 N/C
c) 7.906E+01 N/C
d) 8.696E+01 N/C
e) 9.566E+01 N/C
2)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.3 m. Evaluate at x=0.96 m if a=0.63 m, b=1.4 m. The total charge on the rod is 3 nC.
a) 3.719E+00 V/m2
b) 4.091E+00 V/m2
c) 4.500E+00 V/m2
d) 4.950E+00 V/m2
e) 5.445E+00 V/m2
3)
A ring is uniformly charged with a net charge of 4 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.0 m (on axis) away from the loop's center?
a) 5.352E+09 N/C2
b) 5.887E+09 N/C2
c) 6.476E+09 N/C2
d) 7.124E+09 N/C2
e) 7.836E+09 N/C2
4)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.377E+01 degrees
b) 5.914E+01 degrees
c) 6.506E+01 degrees
d) 7.157E+01 degrees
e) 7.872E+01 degrees




c05 N2

edit

1) A large thin isolated square plate has an area of 3 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

a) 9.412E+01 N/C
b) 1.035E+02 N/C
c) 1.139E+02 N/C
d) 1.253E+02 N/C
e) 1.378E+02 N/C
2)
A ring is uniformly charged with a net charge of 9 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.4 m (on axis) away from the loop's center?
a) 7.119E+09 N/C2
b) 7.831E+09 N/C2
c) 8.614E+09 N/C2
d) 9.476E+09 N/C2
e) 1.042E+10 N/C2
3)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.914E+01 degrees
b) 6.506E+01 degrees
c) 7.157E+01 degrees
d) 7.872E+01 degrees
e) 8.659E+01 degrees
4)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.9 m. Evaluate at x=0.54 m if a=1.0 m, b=2.0 m. The total charge on the rod is 3 nC.
a) 1.665E+00 V/m2
b) 1.831E+00 V/m2
c) 2.014E+00 V/m2
d) 2.216E+00 V/m2
e) 2.437E+00 V/m2




c05 O0

edit
1)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.8 m. Evaluate at x=0.65 m if a=0.85 m, b=1.8 m. The total charge on the rod is 5 nC.
a) 3.959E+00 V/m2
b) 4.355E+00 V/m2
c) 4.790E+00 V/m2
d) 5.269E+00 V/m2
e) 5.796E+00 V/m2

2) A large thin isolated square plate has an area of 8 m2. It is uniformly charged with 6 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

a) 3.500E+01 N/C
b) 3.850E+01 N/C
c) 4.235E+01 N/C
d) 4.659E+01 N/C
e) 5.125E+01 N/C
3)
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.34 m (on axis) away from the loop's center?
a) 3.672E+09 N/C2
b) 4.039E+09 N/C2
c) 4.443E+09 N/C2
d) 4.887E+09 N/C2
e) 5.376E+09 N/C2
4)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 4.766E+01 degrees
b) 5.243E+01 degrees
c) 5.767E+01 degrees
d) 6.343E+01 degrees
e) 6.978E+01 degrees




c05 O1

edit

1) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

a) 7.701E+01 N/C
b) 8.471E+01 N/C
c) 9.318E+01 N/C
d) 1.025E+02 N/C
e) 1.127E+02 N/C
2)
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
a) 1.764E+09 N/C2
b) 1.941E+09 N/C2
c) 2.135E+09 N/C2
d) 2.348E+09 N/C2
e) 2.583E+09 N/C2
3)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.9 m. Evaluate at x=0.83 m if a=0.7 m, b=1.8 m. The total charge on the rod is 9 nC.
a) 6.897E+00 V/m2
b) 7.587E+00 V/m2
c) 8.345E+00 V/m2
d) 9.180E+00 V/m2
e) 1.010E+01 V/m2
4)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 3.629E+01 degrees
b) 3.992E+01 degrees
c) 4.391E+01 degrees
d) 4.830E+01 degrees
e) 5.313E+01 degrees




c05 O2

edit

1) A large thin isolated square plate has an area of 8 m2. It is uniformly charged with 7 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

a) 4.492E+01 N/C
b) 4.941E+01 N/C
c) 5.435E+01 N/C
d) 5.979E+01 N/C
e) 6.577E+01 N/C
2)
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.34 m (on axis) away from the loop's center?
a) 3.672E+09 N/C2
b) 4.039E+09 N/C2
c) 4.443E+09 N/C2
d) 4.887E+09 N/C2
e) 5.376E+09 N/C2
3)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 4.766E+01 degrees
b) 5.243E+01 degrees
c) 5.767E+01 degrees
d) 6.343E+01 degrees
e) 6.978E+01 degrees
4)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.5 m. Evaluate at x=1.0 m if a=1.1 m, b=1.4 m. The total charge on the rod is 5 nC.
a) 4.602E+00 V/m2
b) 5.062E+00 V/m2
c) 5.568E+00 V/m2
d) 6.125E+00 V/m2
e) 6.738E+00 V/m2




c05 P0

edit

1)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 7.820E-01 V/m2
b) 8.602E-01 V/m2
c) 9.462E-01 V/m2
d) 1.041E+00 V/m2
e) 1.145E+00 V/m2
2)
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.35 m (on axis) away from the loop's center?
a) 4.142E+09 N/C2
b) 4.556E+09 N/C2
c) 5.012E+09 N/C2
d) 5.513E+09 N/C2
e) 6.064E+09 N/C2

3) A large thin isolated square plate has an area of 4 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

a) 4.821E+01 N/C
b) 5.303E+01 N/C
c) 5.834E+01 N/C
d) 6.417E+01 N/C
e) 7.059E+01 N/C
4)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 6.343E+01 degrees
b) 6.978E+01 degrees
c) 7.676E+01 degrees
d) 8.443E+01 degrees
e) 9.288E+01 degrees




c05 P1

edit
1)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.767E+01 degrees
b) 6.343E+01 degrees
c) 6.978E+01 degrees
d) 7.676E+01 degrees
e) 8.443E+01 degrees
2)
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
a) 8.336E+09 N/C2
b) 9.170E+09 N/C2
c) 1.009E+10 N/C2
d) 1.110E+10 N/C2
e) 1.220E+10 N/C2

3)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 2.898E+01 V/m2
b) 3.188E+01 V/m2
c) 3.507E+01 V/m2
d) 3.857E+01 V/m2
e) 4.243E+01 V/m2

4) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?

a) 3.214E+01 N/C
b) 3.536E+01 N/C
c) 3.889E+01 N/C
d) 4.278E+01 N/C
e) 4.706E+01 N/C




c05 P2

edit

1)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 8.924E-01 V/m2
b) 9.816E-01 V/m2
c) 1.080E+00 V/m2
d) 1.188E+00 V/m2
e) 1.307E+00 V/m2
2)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.243E+01 degrees
b) 5.767E+01 degrees
c) 6.343E+01 degrees
d) 6.978E+01 degrees
e) 7.676E+01 degrees

3) A large thin isolated square plate has an area of 4 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?

a) 9.546E+01 N/C
b) 1.050E+02 N/C
c) 1.155E+02 N/C
d) 1.271E+02 N/C
e) 1.398E+02 N/C
4)
A ring is uniformly charged with a net charge of 4 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.0 m (on axis) away from the loop's center?
a) 5.352E+09 N/C2
b) 5.887E+09 N/C2
c) 6.476E+09 N/C2
d) 7.124E+09 N/C2
e) 7.836E+09 N/C2




c05 Q0

edit
1)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 5.014E-14 N
b) 5.515E-14 N
c) 6.067E-14 N
d) 6.674E-14 N
e) 7.341E-14 N

2) A large thin isolated square plate has an area of 9 m2. It is uniformly charged with 6 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

a) 2.571E+01 N/C
b) 2.828E+01 N/C
c) 3.111E+01 N/C
d) 3.422E+01 N/C
e) 3.765E+01 N/C
3)
A ring is uniformly charged with a net charge of 4 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
a) 5.402E+09 N/C2
b) 5.943E+09 N/C2
c) 6.537E+09 N/C2
d) 7.191E+09 N/C2
e) 7.910E+09 N/C2
4)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.5 m. Evaluate at x=1.1 m if a=0.61 m, b=1.7 m. The total charge on the rod is 8 nC.
a) 5.995E+00 V/m2
b) 6.595E+00 V/m2
c) 7.254E+00 V/m2
d) 7.980E+00 V/m2
e) 8.778E+00 V/m2




c05 Q1

edit
1)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.7 m. Evaluate at x=0.76 m if a=1.1 m, b=1.6 m. The total charge on the rod is 8 nC.
a) 5.267E+00 V/m2
b) 5.794E+00 V/m2
c) 6.374E+00 V/m2
d) 7.011E+00 V/m2
e) 7.712E+00 V/m2
2)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 3.426E-15 N
b) 3.768E-15 N
c) 4.145E-15 N
d) 4.560E-15 N
e) 5.015E-15 N
3)
A ring is uniformly charged with a net charge of 8 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.32 m (on axis) away from the loop's center?
a) 3.339E+09 N/C2
b) 3.673E+09 N/C2
c) 4.041E+09 N/C2
d) 4.445E+09 N/C2
e) 4.889E+09 N/C2

4) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

a) 7.701E+01 N/C
b) 8.471E+01 N/C
c) 9.318E+01 N/C
d) 1.025E+02 N/C
e) 1.127E+02 N/C




c05 Q2

edit
1)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.7 m. Evaluate at x=0.52 m if a=0.88 m, b=1.3 m. The total charge on the rod is 6 nC.
a) 6.804E+00 V/m2
b) 7.485E+00 V/m2
c) 8.233E+00 V/m2
d) 9.056E+00 V/m2
e) 9.962E+00 V/m2

2) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

a) 7.701E+01 N/C
b) 8.471E+01 N/C
c) 9.318E+01 N/C
d) 1.025E+02 N/C
e) 1.127E+02 N/C
3)
A ring is uniformly charged with a net charge of 3 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
a) 3.159E+09 N/C2
b) 3.475E+09 N/C2
c) 3.823E+09 N/C2
d) 4.205E+09 N/C2
e) 4.626E+09 N/C2
4)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 4.171E-14 N
b) 4.588E-14 N
c) 5.047E-14 N
d) 5.551E-14 N
e) 6.107E-14 N




c05 R0

edit
1)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 3.719E+01 degrees
b) 4.091E+01 degrees
c) 4.500E+01 degrees
d) 4.950E+01 degrees
e) 5.445E+01 degrees

2)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 9.459E+00 V/m2
b) 1.040E+01 V/m2
c) 1.145E+01 V/m2
d) 1.259E+01 V/m2
e) 1.385E+01 V/m2
3)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.9 m. Evaluate at x=0.83 m if a=0.7 m, b=1.8 m. The total charge on the rod is 9 nC.
a) 6.897E+00 V/m2
b) 7.587E+00 V/m2
c) 8.345E+00 V/m2
d) 9.180E+00 V/m2
e) 1.010E+01 V/m2
4)
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
a) 8.336E+09 N/C2
b) 9.170E+09 N/C2
c) 1.009E+10 N/C2
d) 1.110E+10 N/C2
e) 1.220E+10 N/C2




c05 R1

edit
1)
A ring is uniformly charged with a net charge of 4 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.0 m (on axis) away from the loop's center?
a) 5.352E+09 N/C2
b) 5.887E+09 N/C2
c) 6.476E+09 N/C2
d) 7.124E+09 N/C2
e) 7.836E+09 N/C2

2)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 3.722E-01 V/m2
b) 4.094E-01 V/m2
c) 4.504E-01 V/m2
d) 4.954E-01 V/m2
e) 5.450E-01 V/m2
3)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 3.719E+01 degrees
b) 4.091E+01 degrees
c) 4.500E+01 degrees
d) 4.950E+01 degrees
e) 5.445E+01 degrees
4)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.3 m. Evaluate at x=0.96 m if a=0.63 m, b=1.4 m. The total charge on the rod is 3 nC.
a) 3.719E+00 V/m2
b) 4.091E+00 V/m2
c) 4.500E+00 V/m2
d) 4.950E+00 V/m2
e) 5.445E+00 V/m2




c05 R2

edit
1)
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
a) 1.764E+09 N/C2
b) 1.941E+09 N/C2
c) 2.135E+09 N/C2
d) 2.348E+09 N/C2
e) 2.583E+09 N/C2
2)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.062E+01 degrees
b) 5.569E+01 degrees
c) 6.125E+01 degrees
d) 6.738E+01 degrees
e) 7.412E+01 degrees
3)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.8 m. Evaluate at x=0.65 m if a=0.85 m, b=1.8 m. The total charge on the rod is 5 nC.
a) 3.959E+00 V/m2
b) 4.355E+00 V/m2
c) 4.790E+00 V/m2
d) 5.269E+00 V/m2
e) 5.796E+00 V/m2

4)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 4.295E+00 V/m2
b) 4.724E+00 V/m2
c) 5.196E+00 V/m2
d) 5.716E+00 V/m2
e) 6.288E+00 V/m2




c05 S0

edit

1)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 1.606E+00 V/m2
b) 1.767E+00 V/m2
c) 1.943E+00 V/m2
d) 2.138E+00 V/m2
e) 2.351E+00 V/m2
2)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.4 m. Evaluate at x=1.1 m if a=0.69 m, b=2.2 m. The total charge on the rod is 6 nC.
a) 3.161E+00 V/m2
b) 3.477E+00 V/m2
c) 3.825E+00 V/m2
d) 4.208E+00 V/m2
e) 4.628E+00 V/m2
3)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.767E+01 degrees
b) 6.343E+01 degrees
c) 6.978E+01 degrees
d) 7.676E+01 degrees
e) 8.443E+01 degrees
4)
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.2 m (on axis) away from the loop's center?
a) 6.925E+09 N/C2
b) 7.617E+09 N/C2
c) 8.379E+09 N/C2
d) 9.217E+09 N/C2
e) 1.014E+10 N/C2




c05 S1

edit
1)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.9 m. Evaluate at x=0.96 m if a=0.95 m, b=1.8 m. The total charge on the rod is 7 nC.
a) 3.385E+00 V/m2
b) 3.724E+00 V/m2
c) 4.096E+00 V/m2
d) 4.506E+00 V/m2
e) 4.957E+00 V/m2
2)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 3.629E+01 degrees
b) 3.992E+01 degrees
c) 4.391E+01 degrees
d) 4.830E+01 degrees
e) 5.313E+01 degrees

3)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 9.459E+00 V/m2
b) 1.040E+01 V/m2
c) 1.145E+01 V/m2
d) 1.259E+01 V/m2
e) 1.385E+01 V/m2
4)
A ring is uniformly charged with a net charge of 5 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
a) 5.581E+09 N/C2
b) 6.139E+09 N/C2
c) 6.753E+09 N/C2
d) 7.428E+09 N/C2
e) 8.171E+09 N/C2




c05 S2

edit

1)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 6.877E+00 V/m2
b) 7.565E+00 V/m2
c) 8.321E+00 V/m2
d) 9.153E+00 V/m2
e) 1.007E+01 V/m2
2)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.377E+01 degrees
b) 5.914E+01 degrees
c) 6.506E+01 degrees
d) 7.157E+01 degrees
e) 7.872E+01 degrees
3)
A ring is uniformly charged with a net charge of 9 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.4 m (on axis) away from the loop's center?
a) 7.119E+09 N/C2
b) 7.831E+09 N/C2
c) 8.614E+09 N/C2
d) 9.476E+09 N/C2
e) 1.042E+10 N/C2
4)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.5 m. Evaluate at x=1.1 m if a=0.62 m, b=1.3 m. The total charge on the rod is 7 nC.
a) 6.311E+00 V/m2
b) 6.943E+00 V/m2
c) 7.637E+00 V/m2
d) 8.401E+00 V/m2
e) 9.241E+00 V/m2




c05 T0

edit
1)
A ring is uniformly charged with a net charge of 5 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
a) 4.788E+09 N/C2
b) 5.267E+09 N/C2
c) 5.793E+09 N/C2
d) 6.373E+09 N/C2
e) 7.010E+09 N/C2
2)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.5 m. Evaluate at x=1.1 m if a=0.62 m, b=1.3 m. The total charge on the rod is 7 nC.
a) 6.311E+00 V/m2
b) 6.943E+00 V/m2
c) 7.637E+00 V/m2
d) 8.401E+00 V/m2
e) 9.241E+00 V/m2

3) A large thin isolated square plate has an area of 3 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

a) 9.412E+01 N/C
b) 1.035E+02 N/C
c) 1.139E+02 N/C
d) 1.253E+02 N/C
e) 1.378E+02 N/C
4)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 3.961E+01 degrees
b) 4.357E+01 degrees
c) 4.793E+01 degrees
d) 5.272E+01 degrees
e) 5.799E+01 degrees




c05 T1

edit
1)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.9 m. Evaluate at x=0.83 m if a=0.7 m, b=1.8 m. The total charge on the rod is 9 nC.
a) 6.897E+00 V/m2
b) 7.587E+00 V/m2
c) 8.345E+00 V/m2
d) 9.180E+00 V/m2
e) 1.010E+01 V/m2

2) A large thin isolated square plate has an area of 9 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

a) 2.357E+01 N/C
b) 2.593E+01 N/C
c) 2.852E+01 N/C
d) 3.137E+01 N/C
e) 3.451E+01 N/C
3)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.914E+01 degrees
b) 6.506E+01 degrees
c) 7.157E+01 degrees
d) 7.872E+01 degrees
e) 8.659E+01 degrees
4)
A ring is uniformly charged with a net charge of 9 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.73 m (on axis) away from the loop's center?
a) 7.415E+09 N/C2
b) 8.156E+09 N/C2
c) 8.972E+09 N/C2
d) 9.869E+09 N/C2
e) 1.086E+10 N/C2




c05 T2

edit

1) A large thin isolated square plate has an area of 3 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

a) 9.412E+01 N/C
b) 1.035E+02 N/C
c) 1.139E+02 N/C
d) 1.253E+02 N/C
e) 1.378E+02 N/C
2)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.9 m. Evaluate at x=0.54 m if a=1.0 m, b=2.0 m. The total charge on the rod is 3 nC.
a) 1.665E+00 V/m2
b) 1.831E+00 V/m2
c) 2.014E+00 V/m2
d) 2.216E+00 V/m2
e) 2.437E+00 V/m2
3)
A ring is uniformly charged with a net charge of 3 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
a) 3.159E+09 N/C2
b) 3.475E+09 N/C2
c) 3.823E+09 N/C2
d) 4.205E+09 N/C2
e) 4.626E+09 N/C2
4)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.377E+01 degrees
b) 5.914E+01 degrees
c) 6.506E+01 degrees
d) 7.157E+01 degrees
e) 7.872E+01 degrees




c05 U0

edit
1)
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.5 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.33 m (on axis) away from the loop's center?
a) 1.353E+09 N/C2
b) 1.488E+09 N/C2
c) 1.637E+09 N/C2
d) 1.801E+09 N/C2
e) 1.981E+09 N/C2
2)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.8 m. Evaluate at x=0.5 m if a=0.67 m, b=2.4 m. The total charge on the rod is 9 nC.
a) 5.465E+00 V/m2
b) 6.012E+00 V/m2
c) 6.613E+00 V/m2
d) 7.274E+00 V/m2
e) 8.002E+00 V/m2
3)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.062E+01 degrees
b) 5.569E+01 degrees
c) 6.125E+01 degrees
d) 6.738E+01 degrees
e) 7.412E+01 degrees
4)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 4.171E-14 N
b) 4.588E-14 N
c) 5.047E-14 N
d) 5.551E-14 N
e) 6.107E-14 N




c05 U1

edit
1)
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.5 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.33 m (on axis) away from the loop's center?
a) 1.353E+09 N/C2
b) 1.488E+09 N/C2
c) 1.637E+09 N/C2
d) 1.801E+09 N/C2
e) 1.981E+09 N/C2
2)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.569E+01 degrees
b) 6.125E+01 degrees
c) 6.738E+01 degrees
d) 7.412E+01 degrees
e) 8.153E+01 degrees
3)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.5 m. Evaluate at x=1.1 m if a=0.62 m, b=1.3 m. The total charge on the rod is 7 nC.
a) 6.311E+00 V/m2
b) 6.943E+00 V/m2
c) 7.637E+00 V/m2
d) 8.401E+00 V/m2
e) 9.241E+00 V/m2
4)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 8.259E-15 N
b) 9.085E-15 N
c) 9.993E-15 N
d) 1.099E-14 N
e) 1.209E-14 N




c05 U2

edit
1)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.5 m. Evaluate at x=1.0 m if a=1.1 m, b=1.4 m. The total charge on the rod is 5 nC.
a) 4.602E+00 V/m2
b) 5.062E+00 V/m2
c) 5.568E+00 V/m2
d) 6.125E+00 V/m2
e) 6.738E+00 V/m2
2)
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.2 m (on axis) away from the loop's center?
a) 6.925E+09 N/C2
b) 7.617E+09 N/C2
c) 8.379E+09 N/C2
d) 9.217E+09 N/C2
e) 1.014E+10 N/C2
3)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.377E+01 degrees
b) 5.914E+01 degrees
c) 6.506E+01 degrees
d) 7.157E+01 degrees
e) 7.872E+01 degrees
4)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 5.243E-14 N
b) 5.768E-14 N
c) 6.344E-14 N
d) 6.979E-14 N
e) 7.677E-14 N




c05 V0

edit
1)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.569E+01 degrees
b) 6.125E+01 degrees
c) 6.738E+01 degrees
d) 7.412E+01 degrees
e) 8.153E+01 degrees
2)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.8 m. Evaluate at x=0.65 m if a=0.85 m, b=1.8 m. The total charge on the rod is 5 nC.
a) 3.959E+00 V/m2
b) 4.355E+00 V/m2
c) 4.790E+00 V/m2
d) 5.269E+00 V/m2
e) 5.796E+00 V/m2
3)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 8.613E-15 N
b) 9.474E-15 N
c) 1.042E-14 N
d) 1.146E-14 N
e) 1.261E-14 N

4) A large thin isolated square plate has an area of 9 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

a) 2.357E+01 N/C
b) 2.593E+01 N/C
c) 2.852E+01 N/C
d) 3.137E+01 N/C
e) 3.451E+01 N/C




c05 V1

edit

1) A large thin isolated square plate has an area of 8 m2. It is uniformly charged with 6 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

a) 3.500E+01 N/C
b) 3.850E+01 N/C
c) 4.235E+01 N/C
d) 4.659E+01 N/C
e) 5.125E+01 N/C
2)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.3 m. Evaluate at x=0.83 m if a=0.82 m, b=1.3 m. The total charge on the rod is 7 nC.
a) 8.690E+00 V/m2
b) 9.559E+00 V/m2
c) 1.051E+01 V/m2
d) 1.157E+01 V/m2
e) 1.272E+01 V/m2
3)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 1.473E-14 N
b) 1.620E-14 N
c) 1.782E-14 N
d) 1.960E-14 N
e) 2.156E-14 N
4)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 6.125E+01 degrees
b) 6.738E+01 degrees
c) 7.412E+01 degrees
d) 8.153E+01 degrees
e) 8.968E+01 degrees




c05 V2

edit
1)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 4.743E+01 degrees
b) 5.217E+01 degrees
c) 5.739E+01 degrees
d) 6.313E+01 degrees
e) 6.944E+01 degrees

2) A large thin isolated square plate has an area of 5 m2. It is uniformly charged with 8 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

a) 6.171E+01 N/C
b) 6.788E+01 N/C
c) 7.467E+01 N/C
d) 8.214E+01 N/C
e) 9.035E+01 N/C
3)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.2 m. Evaluate at x=0.73 m if a=0.52 m, b=1.6 m. The total charge on the rod is 7 nC.
a) 9.655E+00 V/m2
b) 1.062E+01 V/m2
c) 1.168E+01 V/m2
d) 1.285E+01 V/m2
e) 1.414E+01 V/m2
4)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 5.243E-14 N
b) 5.768E-14 N
c) 6.344E-14 N
d) 6.979E-14 N
e) 7.677E-14 N




c05 W0

edit
1)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 4.743E+01 degrees
b) 5.217E+01 degrees
c) 5.739E+01 degrees
d) 6.313E+01 degrees
e) 6.944E+01 degrees
2)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.5 m. Evaluate at x=1.0 m if a=1.1 m, b=1.4 m. The total charge on the rod is 5 nC.
a) 4.602E+00 V/m2
b) 5.062E+00 V/m2
c) 5.568E+00 V/m2
d) 6.125E+00 V/m2
e) 6.738E+00 V/m2
3)
A ring is uniformly charged with a net charge of 9 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.73 m (on axis) away from the loop's center?
a) 7.415E+09 N/C2
b) 8.156E+09 N/C2
c) 8.972E+09 N/C2
d) 9.869E+09 N/C2
e) 1.086E+10 N/C2
4)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 5.243E-14 N
b) 5.768E-14 N
c) 6.344E-14 N
d) 6.979E-14 N
e) 7.677E-14 N




c05 W1

edit
1)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 9.958E-15 N
b) 1.095E-14 N
c) 1.205E-14 N
d) 1.325E-14 N
e) 1.458E-14 N
2)
A ring is uniformly charged with a net charge of 5 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
a) 4.788E+09 N/C2
b) 5.267E+09 N/C2
c) 5.793E+09 N/C2
d) 6.373E+09 N/C2
e) 7.010E+09 N/C2
3)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.8 m. Evaluate at x=0.5 m if a=0.67 m, b=2.4 m. The total charge on the rod is 9 nC.
a) 5.465E+00 V/m2
b) 6.012E+00 V/m2
c) 6.613E+00 V/m2
d) 7.274E+00 V/m2
e) 8.002E+00 V/m2
4)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 3.629E+01 degrees
b) 3.992E+01 degrees
c) 4.391E+01 degrees
d) 4.830E+01 degrees
e) 5.313E+01 degrees




c05 W2

edit
1)
A ring is uniformly charged with a net charge of 8 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.32 m (on axis) away from the loop's center?
a) 3.339E+09 N/C2
b) 3.673E+09 N/C2
c) 4.041E+09 N/C2
d) 4.445E+09 N/C2
e) 4.889E+09 N/C2
2)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.8 m. Evaluate at x=1.0 m if a=1.0 m, b=1.8 m. The total charge on the rod is 6 nC.
a) 3.610E+00 V/m2
b) 3.971E+00 V/m2
c) 4.368E+00 V/m2
d) 4.804E+00 V/m2
e) 5.285E+00 V/m2
3)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.914E+01 degrees
b) 6.506E+01 degrees
c) 7.157E+01 degrees
d) 7.872E+01 degrees
e) 8.659E+01 degrees
4)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 8.259E-15 N
b) 9.085E-15 N
c) 9.993E-15 N
d) 1.099E-14 N
e) 1.209E-14 N




c05 X0

edit
1)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 9.750E-15 N
b) 1.072E-14 N
c) 1.180E-14 N
d) 1.298E-14 N
e) 1.427E-14 N

2)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 5.647E+00 V/m2
b) 6.212E+00 V/m2
c) 6.833E+00 V/m2
d) 7.517E+00 V/m2
e) 8.268E+00 V/m2

3) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

a) 8.471E+01 N/C
b) 9.318E+01 N/C
c) 1.025E+02 N/C
d) 1.127E+02 N/C
e) 1.240E+02 N/C
4)
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
a) 1.764E+09 N/C2
b) 1.941E+09 N/C2
c) 2.135E+09 N/C2
d) 2.348E+09 N/C2
e) 2.583E+09 N/C2




c05 X1

edit
1)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 3.391E-14 N
b) 3.731E-14 N
c) 4.104E-14 N
d) 4.514E-14 N
e) 4.965E-14 N

2)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 3.228E+00 V/m2
b) 3.551E+00 V/m2
c) 3.906E+00 V/m2
d) 4.297E+00 V/m2
e) 4.727E+00 V/m2

3) A large thin isolated square plate has an area of 4 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?

a) 9.546E+01 N/C
b) 1.050E+02 N/C
c) 1.155E+02 N/C
d) 1.271E+02 N/C
e) 1.398E+02 N/C
4)
A ring is uniformly charged with a net charge of 4 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.0 m (on axis) away from the loop's center?
a) 5.352E+09 N/C2
b) 5.887E+09 N/C2
c) 6.476E+09 N/C2
d) 7.124E+09 N/C2
e) 7.836E+09 N/C2




c05 X2

edit

1)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 2.898E+01 V/m2
b) 3.188E+01 V/m2
c) 3.507E+01 V/m2
d) 3.857E+01 V/m2
e) 4.243E+01 V/m2
2)
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
a) 1.764E+09 N/C2
b) 1.941E+09 N/C2
c) 2.135E+09 N/C2
d) 2.348E+09 N/C2
e) 2.583E+09 N/C2
3)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 2.544E-14 N
b) 2.798E-14 N
c) 3.078E-14 N
d) 3.385E-14 N
e) 3.724E-14 N

4) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?

a) 7.000E+01 N/C
b) 7.701E+01 N/C
c) 8.471E+01 N/C
d) 9.318E+01 N/C
e) 1.025E+02 N/C




c05 Y0

edit

1) A large thin isolated square plate has an area of 3 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

a) 9.412E+01 N/C
b) 1.035E+02 N/C
c) 1.139E+02 N/C
d) 1.253E+02 N/C
e) 1.378E+02 N/C

2)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 6.877E+00 V/m2
b) 7.565E+00 V/m2
c) 8.321E+00 V/m2
d) 9.153E+00 V/m2
e) 1.007E+01 V/m2
3)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.243E+01 degrees
b) 5.767E+01 degrees
c) 6.343E+01 degrees
d) 6.978E+01 degrees
e) 7.676E+01 degrees
4)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 8.613E-15 N
b) 9.474E-15 N
c) 1.042E-14 N
d) 1.146E-14 N
e) 1.261E-14 N




c05 Y1

edit
1)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 1.028E-14 N
b) 1.130E-14 N
c) 1.244E-14 N
d) 1.368E-14 N
e) 1.505E-14 N
2)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.243E+01 degrees
b) 5.767E+01 degrees
c) 6.343E+01 degrees
d) 6.978E+01 degrees
e) 7.676E+01 degrees

3)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 3.228E+00 V/m2
b) 3.551E+00 V/m2
c) 3.906E+00 V/m2
d) 4.297E+00 V/m2
e) 4.727E+00 V/m2

4) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 6 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?

a) 5.647E+01 N/C
b) 6.212E+01 N/C
c) 6.833E+01 N/C
d) 7.516E+01 N/C
e) 8.268E+01 N/C




c05 Y2

edit

1) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

a) 3.214E+01 N/C
b) 3.536E+01 N/C
c) 3.889E+01 N/C
d) 4.278E+01 N/C
e) 4.706E+01 N/C
2)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 1.308E-13 N
b) 1.439E-13 N
c) 1.583E-13 N
d) 1.741E-13 N
e) 1.915E-13 N

3)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 9.459E+00 V/m2
b) 1.040E+01 V/m2
c) 1.145E+01 V/m2
d) 1.259E+01 V/m2
e) 1.385E+01 V/m2
4)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.272E+01 degrees
b) 5.799E+01 degrees
c) 6.379E+01 degrees
d) 7.017E+01 degrees
e) 7.719E+01 degrees




c05 Z0

edit

1) A large thin isolated square plate has an area of 4 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?

a) 9.546E+01 N/C
b) 1.050E+02 N/C
c) 1.155E+02 N/C
d) 1.271E+02 N/C
e) 1.398E+02 N/C
2)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.3 m. Evaluate at x=0.83 m if a=0.82 m, b=1.3 m. The total charge on the rod is 7 nC.
a) 8.690E+00 V/m2
b) 9.559E+00 V/m2
c) 1.051E+01 V/m2
d) 1.157E+01 V/m2
e) 1.272E+01 V/m2
3)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 9.958E-15 N
b) 1.095E-14 N
c) 1.205E-14 N
d) 1.325E-14 N
e) 1.458E-14 N

4)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 8.933E+00 V/m2
b) 9.826E+00 V/m2
c) 1.081E+01 V/m2
d) 1.189E+01 V/m2
e) 1.308E+01 V/m2




c05 Z1

edit

1)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 2.898E+01 V/m2
b) 3.188E+01 V/m2
c) 3.507E+01 V/m2
d) 3.857E+01 V/m2
e) 4.243E+01 V/m2
2)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.2 m. Evaluate at x=0.54 m if a=0.76 m, b=1.7 m. The total charge on the rod is 8 nC.
a) 1.399E+01 V/m2
b) 1.539E+01 V/m2
c) 1.693E+01 V/m2
d) 1.862E+01 V/m2
e) 2.049E+01 V/m2

3) A large thin isolated square plate has an area of 3 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

a) 1.694E+02 N/C
b) 1.864E+02 N/C
c) 2.050E+02 N/C
d) 2.255E+02 N/C
e) 2.480E+02 N/C
4)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 2.544E-14 N
b) 2.798E-14 N
c) 3.078E-14 N
d) 3.385E-14 N
e) 3.724E-14 N




c05 Z2

edit
1)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 1.028E-14 N
b) 1.130E-14 N
c) 1.244E-14 N
d) 1.368E-14 N
e) 1.505E-14 N

2)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 2.567E+01 V/m2
b) 2.824E+01 V/m2
c) 3.106E+01 V/m2
d) 3.417E+01 V/m2
e) 3.759E+01 V/m2
3)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.7 m. Evaluate at x=0.76 m if a=1.1 m, b=1.6 m. The total charge on the rod is 8 nC.
a) 5.267E+00 V/m2
b) 5.794E+00 V/m2
c) 6.374E+00 V/m2
d) 7.011E+00 V/m2
e) 7.712E+00 V/m2

4) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?

a) 3.214E+01 N/C
b) 3.536E+01 N/C
c) 3.889E+01 N/C
d) 4.278E+01 N/C
e) 4.706E+01 N/C



  1. blank page
  2. blank page
  3. blank page
  4. blank page
  5. blank page
  6. blank page
  7. blank page
  8. blank page
  9. blank page
  10. blank page
  11. blank page
  12. blank page
  13. blank page
  14. blank page
  15. blank page
  16. blank page
  17. blank page
  18. blank page
  19. blank page
  20. blank page



  1. of 10 blank lines to separate exams from keys
  2. of 10 blank lines to separate exams from keys
  3. of 10 blank lines to separate exams from keys
  4. of 10 blank lines to separate exams from keys
  5. of 10 blank lines to separate exams from keys
  6. of 10 blank lines to separate exams from keys
  7. of 10 blank lines to separate exams from keys
  8. of 10 blank lines to separate exams from keys
  9. of 10 blank lines to separate exams from keys
  10. of 10 blank lines to separate exams from keys




Key: A0

edit

1)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 7.517E+00 V/m2
-b) 8.269E+00 V/m2
-c) 9.096E+00 V/m2
-d) 1.001E+01 V/m2
+e) 1.101E+01 V/m2
2)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 2.544E-14 N
-b) 2.798E-14 N
-c) 3.078E-14 N
+d) 3.385E-14 N
-e) 3.724E-14 N
3)
A ring is uniformly charged with a net charge of 5 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
+a) 4.788E+09 N/C2
-b) 5.267E+09 N/C2
-c) 5.793E+09 N/C2
-d) 6.373E+09 N/C2
-e) 7.010E+09 N/C2

4) A large thin isolated square plate has an area of 4 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

-a) 4.821E+01 N/C
-b) 5.303E+01 N/C
-c) 5.834E+01 N/C
-d) 6.417E+01 N/C
+e) 7.059E+01 N/C



Click these links for the keys:



Key: A1

edit

1)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 7.517E+00 V/m2
-b) 8.269E+00 V/m2
-c) 9.096E+00 V/m2
-d) 1.001E+01 V/m2
+e) 1.101E+01 V/m2
2)
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.2 m (on axis) away from the loop's center?
-a) 6.925E+09 N/C2
-b) 7.617E+09 N/C2
+c) 8.379E+09 N/C2
-d) 9.217E+09 N/C2
-e) 1.014E+10 N/C2

3) A large thin isolated square plate has an area of 8 m2. It is uniformly charged with 7 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

-a) 4.492E+01 N/C
+b) 4.941E+01 N/C
-c) 5.435E+01 N/C
-d) 5.979E+01 N/C
-e) 6.577E+01 N/C
4)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 5.014E-14 N
-b) 5.515E-14 N
-c) 6.067E-14 N
-d) 6.674E-14 N
+e) 7.341E-14 N



Click these links for the keys:



Key: A2

edit
1)
A ring is uniformly charged with a net charge of 8 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.32 m (on axis) away from the loop's center?
-a) 3.339E+09 N/C2
-b) 3.673E+09 N/C2
-c) 4.041E+09 N/C2
+d) 4.445E+09 N/C2
-e) 4.889E+09 N/C2

2) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

+a) 8.471E+01 N/C
-b) 9.318E+01 N/C
-c) 1.025E+02 N/C
-d) 1.127E+02 N/C
-e) 1.240E+02 N/C

3)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 3.228E+00 V/m2
-b) 3.551E+00 V/m2
-c) 3.906E+00 V/m2
-d) 4.297E+00 V/m2
+e) 4.727E+00 V/m2
4)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 2.036E-14 N
-b) 2.240E-14 N
+c) 2.464E-14 N
-d) 2.710E-14 N
-e) 2.981E-14 N



Click these links for the keys:



Key: B0

edit

1)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 7.517E+00 V/m2
-b) 8.269E+00 V/m2
-c) 9.096E+00 V/m2
-d) 1.001E+01 V/m2
+e) 1.101E+01 V/m2
2)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 2.036E-14 N
-b) 2.240E-14 N
+c) 2.464E-14 N
-d) 2.710E-14 N
-e) 2.981E-14 N

3) A large thin isolated square plate has an area of 9 m2. It is uniformly charged with 6 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

-a) 2.571E+01 N/C
-b) 2.828E+01 N/C
-c) 3.111E+01 N/C
-d) 3.422E+01 N/C
+e) 3.765E+01 N/C
4)
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
-a) 1.764E+09 N/C2
-b) 1.941E+09 N/C2
+c) 2.135E+09 N/C2
-d) 2.348E+09 N/C2
-e) 2.583E+09 N/C2



Click these links for the keys:



Key: B1

edit

1) A large thin isolated square plate has an area of 5 m2. It is uniformly charged with 8 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

-a) 6.171E+01 N/C
-b) 6.788E+01 N/C
-c) 7.467E+01 N/C
-d) 8.214E+01 N/C
+e) 9.035E+01 N/C
2)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 1.308E-13 N
-b) 1.439E-13 N
-c) 1.583E-13 N
+d) 1.741E-13 N
-e) 1.915E-13 N
3)
A ring is uniformly charged with a net charge of 3 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
+a) 3.159E+09 N/C2
-b) 3.475E+09 N/C2
-c) 3.823E+09 N/C2
-d) 4.205E+09 N/C2
-e) 4.626E+09 N/C2

4)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 5.134E-01 V/m2
+b) 5.648E-01 V/m2
-c) 6.212E-01 V/m2
-d) 6.834E-01 V/m2
-e) 7.517E-01 V/m2



Click these links for the keys:



Key: B2

edit
1)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 2.248E-14 N
-b) 2.473E-14 N
+c) 2.721E-14 N
-d) 2.993E-14 N
-e) 3.292E-14 N
2)
A ring is uniformly charged with a net charge of 8 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.32 m (on axis) away from the loop's center?
-a) 3.339E+09 N/C2
-b) 3.673E+09 N/C2
-c) 4.041E+09 N/C2
+d) 4.445E+09 N/C2
-e) 4.889E+09 N/C2

3) A large thin isolated square plate has an area of 8 m2. It is uniformly charged with 7 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

-a) 4.492E+01 N/C
+b) 4.941E+01 N/C
-c) 5.435E+01 N/C
-d) 5.979E+01 N/C
-e) 6.577E+01 N/C

4)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 4.295E+00 V/m2
+b) 4.724E+00 V/m2
-c) 5.196E+00 V/m2
-d) 5.716E+00 V/m2
-e) 6.288E+00 V/m2



Click these links for the keys:



Key: C0

edit

1)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 8.933E+00 V/m2
-b) 9.826E+00 V/m2
+c) 1.081E+01 V/m2
-d) 1.189E+01 V/m2
-e) 1.308E+01 V/m2
2)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.8 m. Evaluate at x=1.0 m if a=1.0 m, b=1.8 m. The total charge on the rod is 6 nC.
-a) 3.610E+00 V/m2
+b) 3.971E+00 V/m2
-c) 4.368E+00 V/m2
-d) 4.804E+00 V/m2
-e) 5.285E+00 V/m2
3)
A ring is uniformly charged with a net charge of 3 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.34 m (on axis) away from the loop's center?
-a) 1.202E+09 N/C2
-b) 1.322E+09 N/C2
-c) 1.454E+09 N/C2
-d) 1.599E+09 N/C2
+e) 1.759E+09 N/C2
4)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 5.377E+01 degrees
-b) 5.914E+01 degrees
-c) 6.506E+01 degrees
+d) 7.157E+01 degrees
-e) 7.872E+01 degrees



Click these links for the keys:



Key: C1

edit
1)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.8 m. Evaluate at x=0.65 m if a=0.85 m, b=1.8 m. The total charge on the rod is 5 nC.
-a) 3.959E+00 V/m2
+b) 4.355E+00 V/m2
-c) 4.790E+00 V/m2
-d) 5.269E+00 V/m2
-e) 5.796E+00 V/m2

2)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 9.459E+00 V/m2
+b) 1.040E+01 V/m2
-c) 1.145E+01 V/m2
-d) 1.259E+01 V/m2
-e) 1.385E+01 V/m2
3)
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
-a) 1.764E+09 N/C2
-b) 1.941E+09 N/C2
+c) 2.135E+09 N/C2
-d) 2.348E+09 N/C2
-e) 2.583E+09 N/C2
4)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 5.377E+01 degrees
-b) 5.914E+01 degrees
-c) 6.506E+01 degrees
+d) 7.157E+01 degrees
-e) 7.872E+01 degrees



Click these links for the keys:



Key: C2

edit
1)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 5.569E+01 degrees
-b) 6.125E+01 degrees
+c) 6.738E+01 degrees
-d) 7.412E+01 degrees
-e) 8.153E+01 degrees

2)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 7.517E+00 V/m2
-b) 8.269E+00 V/m2
-c) 9.096E+00 V/m2
-d) 1.001E+01 V/m2
+e) 1.101E+01 V/m2
3)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.5 m. Evaluate at x=1.1 m if a=0.62 m, b=1.3 m. The total charge on the rod is 7 nC.
-a) 6.311E+00 V/m2
-b) 6.943E+00 V/m2
+c) 7.637E+00 V/m2
-d) 8.401E+00 V/m2
-e) 9.241E+00 V/m2
4)
A ring is uniformly charged with a net charge of 8 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.32 m (on axis) away from the loop's center?
-a) 3.339E+09 N/C2
-b) 3.673E+09 N/C2
-c) 4.041E+09 N/C2
+d) 4.445E+09 N/C2
-e) 4.889E+09 N/C2



Click these links for the keys:



Key: D0

edit

1)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 1.258E+00 V/m2
-b) 1.384E+00 V/m2
-c) 1.522E+00 V/m2
+d) 1.674E+00 V/m2
-e) 1.842E+00 V/m2

2) A large thin isolated square plate has an area of 9 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

-a) 2.357E+01 N/C
-b) 2.593E+01 N/C
-c) 2.852E+01 N/C
+d) 3.137E+01 N/C
-e) 3.451E+01 N/C
3)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 3.876E-14 N
-b) 4.263E-14 N
-c) 4.690E-14 N
+d) 5.159E-14 N
-e) 5.675E-14 N
4)
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
-a) 1.764E+09 N/C2
-b) 1.941E+09 N/C2
+c) 2.135E+09 N/C2
-d) 2.348E+09 N/C2
-e) 2.583E+09 N/C2



Click these links for the keys:



Key: D1

edit
1)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 1.473E-14 N
-b) 1.620E-14 N
-c) 1.782E-14 N
-d) 1.960E-14 N
+e) 2.156E-14 N
2)
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.99 m (on axis) away from the loop's center?
-a) 2.429E+09 N/C2
+b) 2.672E+09 N/C2
-c) 2.939E+09 N/C2
-d) 3.233E+09 N/C2
-e) 3.556E+09 N/C2

3)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 7.820E-01 V/m2
+b) 8.602E-01 V/m2
-c) 9.462E-01 V/m2
-d) 1.041E+00 V/m2
-e) 1.145E+00 V/m2

4) A large thin isolated square plate has an area of 4 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

-a) 4.821E+01 N/C
-b) 5.303E+01 N/C
-c) 5.834E+01 N/C
-d) 6.417E+01 N/C
+e) 7.059E+01 N/C



Click these links for the keys:



Key: D2

edit

1) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 6 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?

+a) 5.647E+01 N/C
-b) 6.212E+01 N/C
-c) 6.833E+01 N/C
-d) 7.516E+01 N/C
-e) 8.268E+01 N/C
2)
A ring is uniformly charged with a net charge of 3 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
+a) 3.159E+09 N/C2
-b) 3.475E+09 N/C2
-c) 3.823E+09 N/C2
-d) 4.205E+09 N/C2
-e) 4.626E+09 N/C2
3)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 3.391E-14 N
-b) 3.731E-14 N
-c) 4.104E-14 N
+d) 4.514E-14 N
-e) 4.965E-14 N

4)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 7.517E+00 V/m2
-b) 8.269E+00 V/m2
-c) 9.096E+00 V/m2
-d) 1.001E+01 V/m2
+e) 1.101E+01 V/m2



Click these links for the keys:



Key: E0

edit
1)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 3.426E-15 N
-b) 3.768E-15 N
-c) 4.145E-15 N
-d) 4.560E-15 N
+e) 5.015E-15 N

2) A large thin isolated square plate has an area of 5 m2. It is uniformly charged with 7 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

-a) 6.534E+01 N/C
-b) 7.187E+01 N/C
+c) 7.906E+01 N/C
-d) 8.696E+01 N/C
-e) 9.566E+01 N/C
3)
A ring is uniformly charged with a net charge of 9 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.73 m (on axis) away from the loop's center?
-a) 7.415E+09 N/C2
-b) 8.156E+09 N/C2
-c) 8.972E+09 N/C2
-d) 9.869E+09 N/C2
+e) 1.086E+10 N/C2
4)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.4 m. Evaluate at x=1.1 m if a=0.69 m, b=2.2 m. The total charge on the rod is 6 nC.
-a) 3.161E+00 V/m2
-b) 3.477E+00 V/m2
-c) 3.825E+00 V/m2
-d) 4.208E+00 V/m2
+e) 4.628E+00 V/m2



Click these links for the keys:



Key: E1

edit
1)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.2 m. Evaluate at x=0.54 m if a=0.76 m, b=1.7 m. The total charge on the rod is 8 nC.
-a) 1.399E+01 V/m2
+b) 1.539E+01 V/m2
-c) 1.693E+01 V/m2
-d) 1.862E+01 V/m2
-e) 2.049E+01 V/m2
2)
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.35 m (on axis) away from the loop's center?
-a) 4.142E+09 N/C2
-b) 4.556E+09 N/C2
+c) 5.012E+09 N/C2
-d) 5.513E+09 N/C2
-e) 6.064E+09 N/C2

3) A large thin isolated square plate has an area of 5 m2. It is uniformly charged with 7 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

-a) 6.534E+01 N/C
-b) 7.187E+01 N/C
+c) 7.906E+01 N/C
-d) 8.696E+01 N/C
-e) 9.566E+01 N/C
4)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 2.544E-14 N
-b) 2.798E-14 N
-c) 3.078E-14 N
+d) 3.385E-14 N
-e) 3.724E-14 N



Click these links for the keys:



Key: E2

edit
1)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.8 m. Evaluate at x=1.0 m if a=1.0 m, b=1.8 m. The total charge on the rod is 6 nC.
-a) 3.610E+00 V/m2
+b) 3.971E+00 V/m2
-c) 4.368E+00 V/m2
-d) 4.804E+00 V/m2
-e) 5.285E+00 V/m2

2) A large thin isolated square plate has an area of 5 m2. It is uniformly charged with 7 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

-a) 6.534E+01 N/C
-b) 7.187E+01 N/C
+c) 7.906E+01 N/C
-d) 8.696E+01 N/C
-e) 9.566E+01 N/C
3)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 2.544E-14 N
-b) 2.798E-14 N
-c) 3.078E-14 N
+d) 3.385E-14 N
-e) 3.724E-14 N
4)
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
-a) 1.764E+09 N/C2
-b) 1.941E+09 N/C2
+c) 2.135E+09 N/C2
-d) 2.348E+09 N/C2
-e) 2.583E+09 N/C2



Click these links for the keys:



Key: F0

edit
1)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 2.544E-14 N
-b) 2.798E-14 N
-c) 3.078E-14 N
+d) 3.385E-14 N
-e) 3.724E-14 N
2)
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.34 m (on axis) away from the loop's center?
-a) 3.672E+09 N/C2
-b) 4.039E+09 N/C2
-c) 4.443E+09 N/C2
+d) 4.887E+09 N/C2
-e) 5.376E+09 N/C2

3) A large thin isolated square plate has an area of 3 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

+a) 9.412E+01 N/C
-b) 1.035E+02 N/C
-c) 1.139E+02 N/C
-d) 1.253E+02 N/C
-e) 1.378E+02 N/C

4)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 8.253E-01 V/m2
-b) 9.079E-01 V/m2
+c) 9.987E-01 V/m2
-d) 1.099E+00 V/m2
-e) 1.208E+00 V/m2



Click these links for the keys:



Key: F1

edit

1)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 8.933E+00 V/m2
-b) 9.826E+00 V/m2
+c) 1.081E+01 V/m2
-d) 1.189E+01 V/m2
-e) 1.308E+01 V/m2
2)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
+a) 5.732E-15 N
-b) 6.305E-15 N
-c) 6.936E-15 N
-d) 7.629E-15 N
-e) 8.392E-15 N

3) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

-a) 3.214E+01 N/C
-b) 3.536E+01 N/C
-c) 3.889E+01 N/C
-d) 4.278E+01 N/C
+e) 4.706E+01 N/C
4)
A ring is uniformly charged with a net charge of 3 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
+a) 3.159E+09 N/C2
-b) 3.475E+09 N/C2
-c) 3.823E+09 N/C2
-d) 4.205E+09 N/C2
-e) 4.626E+09 N/C2



Click these links for the keys:



Key: F2

edit
1)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 8.259E-15 N
-b) 9.085E-15 N
-c) 9.993E-15 N
-d) 1.099E-14 N
+e) 1.209E-14 N
2)
A ring is uniformly charged with a net charge of 3 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
+a) 3.159E+09 N/C2
-b) 3.475E+09 N/C2
-c) 3.823E+09 N/C2
-d) 4.205E+09 N/C2
-e) 4.626E+09 N/C2

3)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

+a) 2.898E+01 V/m2
-b) 3.188E+01 V/m2
-c) 3.507E+01 V/m2
-d) 3.857E+01 V/m2
-e) 4.243E+01 V/m2

4) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

-a) 3.214E+01 N/C
-b) 3.536E+01 N/C
-c) 3.889E+01 N/C
-d) 4.278E+01 N/C
+e) 4.706E+01 N/C



Click these links for the keys:



Key: G0

edit

1)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 7.517E+00 V/m2
-b) 8.269E+00 V/m2
-c) 9.096E+00 V/m2
-d) 1.001E+01 V/m2
+e) 1.101E+01 V/m2
2)
A ring is uniformly charged with a net charge of 3 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.34 m (on axis) away from the loop's center?
-a) 1.202E+09 N/C2
-b) 1.322E+09 N/C2
-c) 1.454E+09 N/C2
-d) 1.599E+09 N/C2
+e) 1.759E+09 N/C2

3) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

-a) 7.701E+01 N/C
+b) 8.471E+01 N/C
-c) 9.318E+01 N/C
-d) 1.025E+02 N/C
-e) 1.127E+02 N/C
4)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 5.377E+01 degrees
-b) 5.914E+01 degrees
-c) 6.506E+01 degrees
+d) 7.157E+01 degrees
-e) 7.872E+01 degrees



Click these links for the keys:



Key: G1

edit

1) A large thin isolated square plate has an area of 5 m2. It is uniformly charged with 8 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

-a) 6.171E+01 N/C
-b) 6.788E+01 N/C
-c) 7.467E+01 N/C
-d) 8.214E+01 N/C
+e) 9.035E+01 N/C
2)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 5.377E+01 degrees
-b) 5.914E+01 degrees
-c) 6.506E+01 degrees
+d) 7.157E+01 degrees
-e) 7.872E+01 degrees
3)
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.5 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.33 m (on axis) away from the loop's center?
-a) 1.353E+09 N/C2
-b) 1.488E+09 N/C2
+c) 1.637E+09 N/C2
-d) 1.801E+09 N/C2
-e) 1.981E+09 N/C2

4)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

+a) 5.647E+00 V/m2
-b) 6.212E+00 V/m2
-c) 6.833E+00 V/m2
-d) 7.517E+00 V/m2
-e) 8.268E+00 V/m2



Click these links for the keys:



Key: G2

edit
1)
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.34 m (on axis) away from the loop's center?
-a) 3.672E+09 N/C2
-b) 4.039E+09 N/C2
-c) 4.443E+09 N/C2
+d) 4.887E+09 N/C2
-e) 5.376E+09 N/C2

2)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 4.961E-01 V/m2
-b) 5.457E-01 V/m2
-c) 6.002E-01 V/m2
-d) 6.603E-01 V/m2
+e) 7.263E-01 V/m2
3)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 5.272E+01 degrees
+b) 5.799E+01 degrees
-c) 6.379E+01 degrees
-d) 7.017E+01 degrees
-e) 7.719E+01 degrees

4) A large thin isolated square plate has an area of 4 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

-a) 4.821E+01 N/C
-b) 5.303E+01 N/C
-c) 5.834E+01 N/C
-d) 6.417E+01 N/C
+e) 7.059E+01 N/C



Click these links for the keys:



Key: H0

edit
1)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
+a) 6.343E+01 degrees
-b) 6.978E+01 degrees
-c) 7.676E+01 degrees
-d) 8.443E+01 degrees
-e) 9.288E+01 degrees

2)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 7.820E-01 V/m2
+b) 8.602E-01 V/m2
-c) 9.462E-01 V/m2
-d) 1.041E+00 V/m2
-e) 1.145E+00 V/m2

3) A large thin isolated square plate has an area of 4 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

-a) 4.821E+01 N/C
-b) 5.303E+01 N/C
-c) 5.834E+01 N/C
-d) 6.417E+01 N/C
+e) 7.059E+01 N/C
4)
A ring is uniformly charged with a net charge of 6 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.4 m (on axis) away from the loop's center?
-a) 2.013E+09 N/C2
-b) 2.214E+09 N/C2
-c) 2.435E+09 N/C2
-d) 2.679E+09 N/C2
+e) 2.947E+09 N/C2



Click these links for the keys:



Key: H1

edit
1)
A ring is uniformly charged with a net charge of 6 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.4 m (on axis) away from the loop's center?
-a) 2.013E+09 N/C2
-b) 2.214E+09 N/C2
-c) 2.435E+09 N/C2
-d) 2.679E+09 N/C2
+e) 2.947E+09 N/C2
2)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 5.272E+01 degrees
+b) 5.799E+01 degrees
-c) 6.379E+01 degrees
-d) 7.017E+01 degrees
-e) 7.719E+01 degrees

3) A large thin isolated square plate has an area of 5 m2. It is uniformly charged with 8 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

-a) 6.171E+01 N/C
-b) 6.788E+01 N/C
-c) 7.467E+01 N/C
-d) 8.214E+01 N/C
+e) 9.035E+01 N/C

4)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 8.253E-01 V/m2
-b) 9.079E-01 V/m2
+c) 9.987E-01 V/m2
-d) 1.099E+00 V/m2
-e) 1.208E+00 V/m2



Click these links for the keys:



Key: H2

edit
1)
A ring is uniformly charged with a net charge of 5 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
+a) 4.788E+09 N/C2
-b) 5.267E+09 N/C2
-c) 5.793E+09 N/C2
-d) 6.373E+09 N/C2
-e) 7.010E+09 N/C2

2)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 1.258E+00 V/m2
-b) 1.384E+00 V/m2
-c) 1.522E+00 V/m2
+d) 1.674E+00 V/m2
-e) 1.842E+00 V/m2

3) A large thin isolated square plate has an area of 4 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

-a) 4.821E+01 N/C
-b) 5.303E+01 N/C
-c) 5.834E+01 N/C
-d) 6.417E+01 N/C
+e) 7.059E+01 N/C
4)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 3.719E+01 degrees
-b) 4.091E+01 degrees
+c) 4.500E+01 degrees
-d) 4.950E+01 degrees
-e) 5.445E+01 degrees



Click these links for the keys:



Key: I0

edit
1)
A ring is uniformly charged with a net charge of 5 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
+a) 4.788E+09 N/C2
-b) 5.267E+09 N/C2
-c) 5.793E+09 N/C2
-d) 6.373E+09 N/C2
-e) 7.010E+09 N/C2
2)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 5.569E+01 degrees
-b) 6.125E+01 degrees
+c) 6.738E+01 degrees
-d) 7.412E+01 degrees
-e) 8.153E+01 degrees

3)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 1.258E+00 V/m2
-b) 1.384E+00 V/m2
-c) 1.522E+00 V/m2
+d) 1.674E+00 V/m2
-e) 1.842E+00 V/m2
4)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 8.259E-15 N
-b) 9.085E-15 N
-c) 9.993E-15 N
-d) 1.099E-14 N
+e) 1.209E-14 N



Click these links for the keys:



Key: I1

edit
1)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 3.961E+01 degrees
-b) 4.357E+01 degrees
-c) 4.793E+01 degrees
-d) 5.272E+01 degrees
+e) 5.799E+01 degrees
2)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 2.248E-14 N
-b) 2.473E-14 N
+c) 2.721E-14 N
-d) 2.993E-14 N
-e) 3.292E-14 N

3)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 4.295E+00 V/m2
+b) 4.724E+00 V/m2
-c) 5.196E+00 V/m2
-d) 5.716E+00 V/m2
-e) 6.288E+00 V/m2
4)
A ring is uniformly charged with a net charge of 3 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.34 m (on axis) away from the loop's center?
-a) 1.202E+09 N/C2
-b) 1.322E+09 N/C2
-c) 1.454E+09 N/C2
-d) 1.599E+09 N/C2
+e) 1.759E+09 N/C2



Click these links for the keys:



Key: I2

edit
1)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 6.125E+01 degrees
+b) 6.738E+01 degrees
-c) 7.412E+01 degrees
-d) 8.153E+01 degrees
-e) 8.968E+01 degrees
2)
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
-a) 1.764E+09 N/C2
-b) 1.941E+09 N/C2
+c) 2.135E+09 N/C2
-d) 2.348E+09 N/C2
-e) 2.583E+09 N/C2
3)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 1.308E-13 N
-b) 1.439E-13 N
-c) 1.583E-13 N
+d) 1.741E-13 N
-e) 1.915E-13 N

4)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 7.820E-01 V/m2
+b) 8.602E-01 V/m2
-c) 9.462E-01 V/m2
-d) 1.041E+00 V/m2
-e) 1.145E+00 V/m2



Click these links for the keys:



Key: J0

edit
1)
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.5 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.33 m (on axis) away from the loop's center?
-a) 1.353E+09 N/C2
-b) 1.488E+09 N/C2
+c) 1.637E+09 N/C2
-d) 1.801E+09 N/C2
-e) 1.981E+09 N/C2
2)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 5.569E+01 degrees
-b) 6.125E+01 degrees
+c) 6.738E+01 degrees
-d) 7.412E+01 degrees
-e) 8.153E+01 degrees

3)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

+a) 1.606E+00 V/m2
-b) 1.767E+00 V/m2
-c) 1.943E+00 V/m2
-d) 2.138E+00 V/m2
-e) 2.351E+00 V/m2
4)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 3.876E-14 N
-b) 4.263E-14 N
-c) 4.690E-14 N
+d) 5.159E-14 N
-e) 5.675E-14 N



Click these links for the keys:



Key: J1

edit
1)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 5.243E+01 degrees
-b) 5.767E+01 degrees
+c) 6.343E+01 degrees
-d) 6.978E+01 degrees
-e) 7.676E+01 degrees
2)
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
+a) 8.336E+09 N/C2
-b) 9.170E+09 N/C2
-c) 1.009E+10 N/C2
-d) 1.110E+10 N/C2
-e) 1.220E+10 N/C2
3)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 5.243E-14 N
+b) 5.768E-14 N
-c) 6.344E-14 N
-d) 6.979E-14 N
-e) 7.677E-14 N

4)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 3.228E+00 V/m2
-b) 3.551E+00 V/m2
-c) 3.906E+00 V/m2
-d) 4.297E+00 V/m2
+e) 4.727E+00 V/m2



Click these links for the keys:



Key: J2

edit
1)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 3.961E+01 degrees
-b) 4.357E+01 degrees
-c) 4.793E+01 degrees
-d) 5.272E+01 degrees
+e) 5.799E+01 degrees

2)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 1.258E+00 V/m2
-b) 1.384E+00 V/m2
-c) 1.522E+00 V/m2
+d) 1.674E+00 V/m2
-e) 1.842E+00 V/m2
3)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 4.171E-14 N
-b) 4.588E-14 N
+c) 5.047E-14 N
-d) 5.551E-14 N
-e) 6.107E-14 N
4)
A ring is uniformly charged with a net charge of 6 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.4 m (on axis) away from the loop's center?
-a) 2.013E+09 N/C2
-b) 2.214E+09 N/C2
-c) 2.435E+09 N/C2
-d) 2.679E+09 N/C2
+e) 2.947E+09 N/C2



Click these links for the keys:



Key: K0

edit
1)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 5.569E+01 degrees
-b) 6.125E+01 degrees
+c) 6.738E+01 degrees
-d) 7.412E+01 degrees
-e) 8.153E+01 degrees
2)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 4.171E-14 N
-b) 4.588E-14 N
+c) 5.047E-14 N
-d) 5.551E-14 N
-e) 6.107E-14 N
3)
A ring is uniformly charged with a net charge of 6 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.4 m (on axis) away from the loop's center?
-a) 2.013E+09 N/C2
-b) 2.214E+09 N/C2
-c) 2.435E+09 N/C2
-d) 2.679E+09 N/C2
+e) 2.947E+09 N/C2

4)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 7.820E-01 V/m2
+b) 8.602E-01 V/m2
-c) 9.462E-01 V/m2
-d) 1.041E+00 V/m2
-e) 1.145E+00 V/m2



Click these links for the keys:



Key: K1

edit
1)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 8.259E-15 N
-b) 9.085E-15 N
-c) 9.993E-15 N
-d) 1.099E-14 N
+e) 1.209E-14 N

2)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 8.253E-01 V/m2
-b) 9.079E-01 V/m2
+c) 9.987E-01 V/m2
-d) 1.099E+00 V/m2
-e) 1.208E+00 V/m2
3)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 6.125E+01 degrees
+b) 6.738E+01 degrees
-c) 7.412E+01 degrees
-d) 8.153E+01 degrees
-e) 8.968E+01 degrees
4)
A ring is uniformly charged with a net charge of 9 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.4 m (on axis) away from the loop's center?
-a) 7.119E+09 N/C2
-b) 7.831E+09 N/C2
+c) 8.614E+09 N/C2
-d) 9.476E+09 N/C2
-e) 1.042E+10 N/C2



Click these links for the keys:



Key: K2

edit
1)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 3.629E+01 degrees
-b) 3.992E+01 degrees
-c) 4.391E+01 degrees
-d) 4.830E+01 degrees
+e) 5.313E+01 degrees
2)
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.2 m (on axis) away from the loop's center?
-a) 6.925E+09 N/C2
-b) 7.617E+09 N/C2
+c) 8.379E+09 N/C2
-d) 9.217E+09 N/C2
-e) 1.014E+10 N/C2
3)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 5.014E-14 N
-b) 5.515E-14 N
-c) 6.067E-14 N
-d) 6.674E-14 N
+e) 7.341E-14 N

4)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

+a) 1.022E+00 V/m2
-b) 1.125E+00 V/m2
-c) 1.237E+00 V/m2
-d) 1.361E+00 V/m2
-e) 1.497E+00 V/m2



Click these links for the keys:



Key: L0

edit
1)
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.34 m (on axis) away from the loop's center?
-a) 3.672E+09 N/C2
-b) 4.039E+09 N/C2
-c) 4.443E+09 N/C2
+d) 4.887E+09 N/C2
-e) 5.376E+09 N/C2
2)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 5.767E+01 degrees
+b) 6.343E+01 degrees
-c) 6.978E+01 degrees
-d) 7.676E+01 degrees
-e) 8.443E+01 degrees

3) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

+a) 8.471E+01 N/C
-b) 9.318E+01 N/C
-c) 1.025E+02 N/C
-d) 1.127E+02 N/C
-e) 1.240E+02 N/C

4)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 8.933E+00 V/m2
-b) 9.826E+00 V/m2
+c) 1.081E+01 V/m2
-d) 1.189E+01 V/m2
-e) 1.308E+01 V/m2



Click these links for the keys:



Key: L1

edit

1) A large thin isolated square plate has an area of 3 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

+a) 9.412E+01 N/C
-b) 1.035E+02 N/C
-c) 1.139E+02 N/C
-d) 1.253E+02 N/C
-e) 1.378E+02 N/C
2)
A ring is uniformly charged with a net charge of 4 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.0 m (on axis) away from the loop's center?
+a) 5.352E+09 N/C2
-b) 5.887E+09 N/C2
-c) 6.476E+09 N/C2
-d) 7.124E+09 N/C2
-e) 7.836E+09 N/C2

3)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 8.253E-01 V/m2
-b) 9.079E-01 V/m2
+c) 9.987E-01 V/m2
-d) 1.099E+00 V/m2
-e) 1.208E+00 V/m2
4)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 5.272E+01 degrees
+b) 5.799E+01 degrees
-c) 6.379E+01 degrees
-d) 7.017E+01 degrees
-e) 7.719E+01 degrees



Click these links for the keys:



Key: L2

edit
1)
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
-a) 1.764E+09 N/C2
-b) 1.941E+09 N/C2
+c) 2.135E+09 N/C2
-d) 2.348E+09 N/C2
-e) 2.583E+09 N/C2

2) A large thin isolated square plate has an area of 3 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

+a) 9.412E+01 N/C
-b) 1.035E+02 N/C
-c) 1.139E+02 N/C
-d) 1.253E+02 N/C
-e) 1.378E+02 N/C

3)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 4.961E-01 V/m2
-b) 5.457E-01 V/m2
-c) 6.002E-01 V/m2
-d) 6.603E-01 V/m2
+e) 7.263E-01 V/m2
4)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 4.743E+01 degrees
-b) 5.217E+01 degrees
-c) 5.739E+01 degrees
-d) 6.313E+01 degrees
+e) 6.944E+01 degrees



Click these links for the keys:



Key: M0

edit
1)
A ring is uniformly charged with a net charge of 3 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.34 m (on axis) away from the loop's center?
-a) 1.202E+09 N/C2
-b) 1.322E+09 N/C2
-c) 1.454E+09 N/C2
-d) 1.599E+09 N/C2
+e) 1.759E+09 N/C2
2)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 5.272E+01 degrees
+b) 5.799E+01 degrees
-c) 6.379E+01 degrees
-d) 7.017E+01 degrees
-e) 7.719E+01 degrees

3)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 4.961E-01 V/m2
-b) 5.457E-01 V/m2
-c) 6.002E-01 V/m2
-d) 6.603E-01 V/m2
+e) 7.263E-01 V/m2

4) A large thin isolated square plate has an area of 5 m2. It is uniformly charged with 7 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

-a) 6.534E+01 N/C
-b) 7.187E+01 N/C
+c) 7.906E+01 N/C
-d) 8.696E+01 N/C
-e) 9.566E+01 N/C



Click these links for the keys:



Key: M1

edit
1)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 3.629E+01 degrees
-b) 3.992E+01 degrees
-c) 4.391E+01 degrees
-d) 4.830E+01 degrees
+e) 5.313E+01 degrees

2) A large thin isolated square plate has an area of 4 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?

-a) 9.546E+01 N/C
-b) 1.050E+02 N/C
-c) 1.155E+02 N/C
+d) 1.271E+02 N/C
-e) 1.398E+02 N/C

3)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 8.253E-01 V/m2
-b) 9.079E-01 V/m2
+c) 9.987E-01 V/m2
-d) 1.099E+00 V/m2
-e) 1.208E+00 V/m2
4)
A ring is uniformly charged with a net charge of 3 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.34 m (on axis) away from the loop's center?
-a) 1.202E+09 N/C2
-b) 1.322E+09 N/C2
-c) 1.454E+09 N/C2
-d) 1.599E+09 N/C2
+e) 1.759E+09 N/C2



Click these links for the keys:



Key: M2

edit

1)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 8.924E-01 V/m2
-b) 9.816E-01 V/m2
+c) 1.080E+00 V/m2
-d) 1.188E+00 V/m2
-e) 1.307E+00 V/m2

2) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?

-a) 3.214E+01 N/C
-b) 3.536E+01 N/C
-c) 3.889E+01 N/C
-d) 4.278E+01 N/C
+e) 4.706E+01 N/C
3)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 3.719E+01 degrees
-b) 4.091E+01 degrees
+c) 4.500E+01 degrees
-d) 4.950E+01 degrees
-e) 5.445E+01 degrees
4)
A ring is uniformly charged with a net charge of 5 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
+a) 4.788E+09 N/C2
-b) 5.267E+09 N/C2
-c) 5.793E+09 N/C2
-d) 6.373E+09 N/C2
-e) 7.010E+09 N/C2



Click these links for the keys:



Key: N0

edit

1) A large thin isolated square plate has an area of 3 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

+a) 1.694E+02 N/C
-b) 1.864E+02 N/C
-c) 2.050E+02 N/C
-d) 2.255E+02 N/C
-e) 2.480E+02 N/C
2)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 5.569E+01 degrees
-b) 6.125E+01 degrees
+c) 6.738E+01 degrees
-d) 7.412E+01 degrees
-e) 8.153E+01 degrees
3)
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.35 m (on axis) away from the loop's center?
-a) 4.142E+09 N/C2
-b) 4.556E+09 N/C2
+c) 5.012E+09 N/C2
-d) 5.513E+09 N/C2
-e) 6.064E+09 N/C2
4)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.9 m. Evaluate at x=0.96 m if a=0.95 m, b=1.8 m. The total charge on the rod is 7 nC.
-a) 3.385E+00 V/m2
-b) 3.724E+00 V/m2
-c) 4.096E+00 V/m2
+d) 4.506E+00 V/m2
-e) 4.957E+00 V/m2



Click these links for the keys:



Key: N1

edit

1) A large thin isolated square plate has an area of 5 m2. It is uniformly charged with 7 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

-a) 6.534E+01 N/C
-b) 7.187E+01 N/C
+c) 7.906E+01 N/C
-d) 8.696E+01 N/C
-e) 9.566E+01 N/C
2)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.3 m. Evaluate at x=0.96 m if a=0.63 m, b=1.4 m. The total charge on the rod is 3 nC.
-a) 3.719E+00 V/m2
+b) 4.091E+00 V/m2
-c) 4.500E+00 V/m2
-d) 4.950E+00 V/m2
-e) 5.445E+00 V/m2
3)
A ring is uniformly charged with a net charge of 4 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.0 m (on axis) away from the loop's center?
+a) 5.352E+09 N/C2
-b) 5.887E+09 N/C2
-c) 6.476E+09 N/C2
-d) 7.124E+09 N/C2
-e) 7.836E+09 N/C2
4)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 5.377E+01 degrees
-b) 5.914E+01 degrees
-c) 6.506E+01 degrees
+d) 7.157E+01 degrees
-e) 7.872E+01 degrees



Click these links for the keys:



Key: N2

edit

1) A large thin isolated square plate has an area of 3 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

+a) 9.412E+01 N/C
-b) 1.035E+02 N/C
-c) 1.139E+02 N/C
-d) 1.253E+02 N/C
-e) 1.378E+02 N/C
2)
A ring is uniformly charged with a net charge of 9 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.4 m (on axis) away from the loop's center?
-a) 7.119E+09 N/C2
-b) 7.831E+09 N/C2
+c) 8.614E+09 N/C2
-d) 9.476E+09 N/C2
-e) 1.042E+10 N/C2
3)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 5.914E+01 degrees
-b) 6.506E+01 degrees
+c) 7.157E+01 degrees
-d) 7.872E+01 degrees
-e) 8.659E+01 degrees
4)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.9 m. Evaluate at x=0.54 m if a=1.0 m, b=2.0 m. The total charge on the rod is 3 nC.
-a) 1.665E+00 V/m2
-b) 1.831E+00 V/m2
-c) 2.014E+00 V/m2
+d) 2.216E+00 V/m2
-e) 2.437E+00 V/m2



Click these links for the keys:



Key: O0

edit
1)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.8 m. Evaluate at x=0.65 m if a=0.85 m, b=1.8 m. The total charge on the rod is 5 nC.
-a) 3.959E+00 V/m2
+b) 4.355E+00 V/m2
-c) 4.790E+00 V/m2
-d) 5.269E+00 V/m2
-e) 5.796E+00 V/m2

2) A large thin isolated square plate has an area of 8 m2. It is uniformly charged with 6 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

-a) 3.500E+01 N/C
-b) 3.850E+01 N/C
+c) 4.235E+01 N/C
-d) 4.659E+01 N/C
-e) 5.125E+01 N/C
3)
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.34 m (on axis) away from the loop's center?
-a) 3.672E+09 N/C2
-b) 4.039E+09 N/C2
-c) 4.443E+09 N/C2
+d) 4.887E+09 N/C2
-e) 5.376E+09 N/C2
4)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 4.766E+01 degrees
-b) 5.243E+01 degrees
-c) 5.767E+01 degrees
+d) 6.343E+01 degrees
-e) 6.978E+01 degrees



Click these links for the keys:



Key: O1

edit

1) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

-a) 7.701E+01 N/C
+b) 8.471E+01 N/C
-c) 9.318E+01 N/C
-d) 1.025E+02 N/C
-e) 1.127E+02 N/C
2)
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
-a) 1.764E+09 N/C2
-b) 1.941E+09 N/C2
+c) 2.135E+09 N/C2
-d) 2.348E+09 N/C2
-e) 2.583E+09 N/C2
3)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.9 m. Evaluate at x=0.83 m if a=0.7 m, b=1.8 m. The total charge on the rod is 9 nC.
+a) 6.897E+00 V/m2
-b) 7.587E+00 V/m2
-c) 8.345E+00 V/m2
-d) 9.180E+00 V/m2
-e) 1.010E+01 V/m2
4)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 3.629E+01 degrees
-b) 3.992E+01 degrees
-c) 4.391E+01 degrees
-d) 4.830E+01 degrees
+e) 5.313E+01 degrees



Click these links for the keys:



Key: O2

edit

1) A large thin isolated square plate has an area of 8 m2. It is uniformly charged with 7 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

-a) 4.492E+01 N/C
+b) 4.941E+01 N/C
-c) 5.435E+01 N/C
-d) 5.979E+01 N/C
-e) 6.577E+01 N/C
2)
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.34 m (on axis) away from the loop's center?
-a) 3.672E+09 N/C2
-b) 4.039E+09 N/C2
-c) 4.443E+09 N/C2
+d) 4.887E+09 N/C2
-e) 5.376E+09 N/C2
3)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 4.766E+01 degrees
-b) 5.243E+01 degrees
-c) 5.767E+01 degrees
+d) 6.343E+01 degrees
-e) 6.978E+01 degrees
4)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.5 m. Evaluate at x=1.0 m if a=1.1 m, b=1.4 m. The total charge on the rod is 5 nC.
+a) 4.602E+00 V/m2
-b) 5.062E+00 V/m2
-c) 5.568E+00 V/m2
-d) 6.125E+00 V/m2
-e) 6.738E+00 V/m2



Click these links for the keys:



Key: P0

edit

1)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 7.820E-01 V/m2
+b) 8.602E-01 V/m2
-c) 9.462E-01 V/m2
-d) 1.041E+00 V/m2
-e) 1.145E+00 V/m2
2)
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.35 m (on axis) away from the loop's center?
-a) 4.142E+09 N/C2
-b) 4.556E+09 N/C2
+c) 5.012E+09 N/C2
-d) 5.513E+09 N/C2
-e) 6.064E+09 N/C2

3) A large thin isolated square plate has an area of 4 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

-a) 4.821E+01 N/C
-b) 5.303E+01 N/C
-c) 5.834E+01 N/C
-d) 6.417E+01 N/C
+e) 7.059E+01 N/C
4)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
+a) 6.343E+01 degrees
-b) 6.978E+01 degrees
-c) 7.676E+01 degrees
-d) 8.443E+01 degrees
-e) 9.288E+01 degrees



Click these links for the keys:



Key: P1

edit
1)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 5.767E+01 degrees
+b) 6.343E+01 degrees
-c) 6.978E+01 degrees
-d) 7.676E+01 degrees
-e) 8.443E+01 degrees
2)
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
+a) 8.336E+09 N/C2
-b) 9.170E+09 N/C2
-c) 1.009E+10 N/C2
-d) 1.110E+10 N/C2
-e) 1.220E+10 N/C2

3)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

+a) 2.898E+01 V/m2
-b) 3.188E+01 V/m2
-c) 3.507E+01 V/m2
-d) 3.857E+01 V/m2
-e) 4.243E+01 V/m2

4) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?

-a) 3.214E+01 N/C
-b) 3.536E+01 N/C
-c) 3.889E+01 N/C
-d) 4.278E+01 N/C
+e) 4.706E+01 N/C



Click these links for the keys:



Key: P2

edit

1)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 8.924E-01 V/m2
-b) 9.816E-01 V/m2
+c) 1.080E+00 V/m2
-d) 1.188E+00 V/m2
-e) 1.307E+00 V/m2
2)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 5.243E+01 degrees
-b) 5.767E+01 degrees
+c) 6.343E+01 degrees
-d) 6.978E+01 degrees
-e) 7.676E+01 degrees

3) A large thin isolated square plate has an area of 4 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?

-a) 9.546E+01 N/C
-b) 1.050E+02 N/C
-c) 1.155E+02 N/C
+d) 1.271E+02 N/C
-e) 1.398E+02 N/C
4)
A ring is uniformly charged with a net charge of 4 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.0 m (on axis) away from the loop's center?
+a) 5.352E+09 N/C2
-b) 5.887E+09 N/C2
-c) 6.476E+09 N/C2
-d) 7.124E+09 N/C2
-e) 7.836E+09 N/C2



Click these links for the keys:



Key: Q0

edit
1)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 5.014E-14 N
-b) 5.515E-14 N
-c) 6.067E-14 N
-d) 6.674E-14 N
+e) 7.341E-14 N

2) A large thin isolated square plate has an area of 9 m2. It is uniformly charged with 6 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

-a) 2.571E+01 N/C
-b) 2.828E+01 N/C
-c) 3.111E+01 N/C
-d) 3.422E+01 N/C
+e) 3.765E+01 N/C
3)
A ring is uniformly charged with a net charge of 4 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
+a) 5.402E+09 N/C2
-b) 5.943E+09 N/C2
-c) 6.537E+09 N/C2
-d) 7.191E+09 N/C2
-e) 7.910E+09 N/C2
4)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.5 m. Evaluate at x=1.1 m if a=0.61 m, b=1.7 m. The total charge on the rod is 8 nC.
-a) 5.995E+00 V/m2
-b) 6.595E+00 V/m2
+c) 7.254E+00 V/m2
-d) 7.980E+00 V/m2
-e) 8.778E+00 V/m2



Click these links for the keys:



Key: Q1

edit
1)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.7 m. Evaluate at x=0.76 m if a=1.1 m, b=1.6 m. The total charge on the rod is 8 nC.
-a) 5.267E+00 V/m2
-b) 5.794E+00 V/m2
-c) 6.374E+00 V/m2
+d) 7.011E+00 V/m2
-e) 7.712E+00 V/m2
2)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 3.426E-15 N
-b) 3.768E-15 N
-c) 4.145E-15 N
-d) 4.560E-15 N
+e) 5.015E-15 N
3)
A ring is uniformly charged with a net charge of 8 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.32 m (on axis) away from the loop's center?
-a) 3.339E+09 N/C2
-b) 3.673E+09 N/C2
-c) 4.041E+09 N/C2
+d) 4.445E+09 N/C2
-e) 4.889E+09 N/C2

4) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

-a) 7.701E+01 N/C
+b) 8.471E+01 N/C
-c) 9.318E+01 N/C
-d) 1.025E+02 N/C
-e) 1.127E+02 N/C



Click these links for the keys:



Key: Q2

edit
1)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.7 m. Evaluate at x=0.52 m if a=0.88 m, b=1.3 m. The total charge on the rod is 6 nC.
-a) 6.804E+00 V/m2
+b) 7.485E+00 V/m2
-c) 8.233E+00 V/m2
-d) 9.056E+00 V/m2
-e) 9.962E+00 V/m2

2) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

-a) 7.701E+01 N/C
+b) 8.471E+01 N/C
-c) 9.318E+01 N/C
-d) 1.025E+02 N/C
-e) 1.127E+02 N/C
3)
A ring is uniformly charged with a net charge of 3 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
+a) 3.159E+09 N/C2
-b) 3.475E+09 N/C2
-c) 3.823E+09 N/C2
-d) 4.205E+09 N/C2
-e) 4.626E+09 N/C2
4)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 4.171E-14 N
-b) 4.588E-14 N
+c) 5.047E-14 N
-d) 5.551E-14 N
-e) 6.107E-14 N



Click these links for the keys:



Key: R0

edit
1)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 3.719E+01 degrees
-b) 4.091E+01 degrees
+c) 4.500E+01 degrees
-d) 4.950E+01 degrees
-e) 5.445E+01 degrees

2)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 9.459E+00 V/m2
+b) 1.040E+01 V/m2
-c) 1.145E+01 V/m2
-d) 1.259E+01 V/m2
-e) 1.385E+01 V/m2
3)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.9 m. Evaluate at x=0.83 m if a=0.7 m, b=1.8 m. The total charge on the rod is 9 nC.
+a) 6.897E+00 V/m2
-b) 7.587E+00 V/m2
-c) 8.345E+00 V/m2
-d) 9.180E+00 V/m2
-e) 1.010E+01 V/m2
4)
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
+a) 8.336E+09 N/C2
-b) 9.170E+09 N/C2
-c) 1.009E+10 N/C2
-d) 1.110E+10 N/C2
-e) 1.220E+10 N/C2



Click these links for the keys:



Key: R1

edit
1)
A ring is uniformly charged with a net charge of 4 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.0 m (on axis) away from the loop's center?
+a) 5.352E+09 N/C2
-b) 5.887E+09 N/C2
-c) 6.476E+09 N/C2
-d) 7.124E+09 N/C2
-e) 7.836E+09 N/C2

2)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 3.722E-01 V/m2
-b) 4.094E-01 V/m2
-c) 4.504E-01 V/m2
+d) 4.954E-01 V/m2
-e) 5.450E-01 V/m2
3)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 3.719E+01 degrees
-b) 4.091E+01 degrees
+c) 4.500E+01 degrees
-d) 4.950E+01 degrees
-e) 5.445E+01 degrees
4)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.3 m. Evaluate at x=0.96 m if a=0.63 m, b=1.4 m. The total charge on the rod is 3 nC.
-a) 3.719E+00 V/m2
+b) 4.091E+00 V/m2
-c) 4.500E+00 V/m2
-d) 4.950E+00 V/m2
-e) 5.445E+00 V/m2



Click these links for the keys:



Key: R2

edit
1)
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
-a) 1.764E+09 N/C2
-b) 1.941E+09 N/C2
+c) 2.135E+09 N/C2
-d) 2.348E+09 N/C2
-e) 2.583E+09 N/C2
2)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 5.062E+01 degrees
-b) 5.569E+01 degrees
-c) 6.125E+01 degrees
+d) 6.738E+01 degrees
-e) 7.412E+01 degrees
3)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.8 m. Evaluate at x=0.65 m if a=0.85 m, b=1.8 m. The total charge on the rod is 5 nC.
-a) 3.959E+00 V/m2
+b) 4.355E+00 V/m2
-c) 4.790E+00 V/m2
-d) 5.269E+00 V/m2
-e) 5.796E+00 V/m2

4)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 4.295E+00 V/m2
+b) 4.724E+00 V/m2
-c) 5.196E+00 V/m2
-d) 5.716E+00 V/m2
-e) 6.288E+00 V/m2



Click these links for the keys:



Key: S0

edit

1)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

+a) 1.606E+00 V/m2
-b) 1.767E+00 V/m2
-c) 1.943E+00 V/m2
-d) 2.138E+00 V/m2
-e) 2.351E+00 V/m2
2)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.4 m. Evaluate at x=1.1 m if a=0.69 m, b=2.2 m. The total charge on the rod is 6 nC.
-a) 3.161E+00 V/m2
-b) 3.477E+00 V/m2
-c) 3.825E+00 V/m2
-d) 4.208E+00 V/m2
+e) 4.628E+00 V/m2
3)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 5.767E+01 degrees
+b) 6.343E+01 degrees
-c) 6.978E+01 degrees
-d) 7.676E+01 degrees
-e) 8.443E+01 degrees
4)
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.2 m (on axis) away from the loop's center?
-a) 6.925E+09 N/C2
-b) 7.617E+09 N/C2
+c) 8.379E+09 N/C2
-d) 9.217E+09 N/C2
-e) 1.014E+10 N/C2



Click these links for the keys:



Key: S1

edit
1)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.9 m. Evaluate at x=0.96 m if a=0.95 m, b=1.8 m. The total charge on the rod is 7 nC.
-a) 3.385E+00 V/m2
-b) 3.724E+00 V/m2
-c) 4.096E+00 V/m2
+d) 4.506E+00 V/m2
-e) 4.957E+00 V/m2
2)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 3.629E+01 degrees
-b) 3.992E+01 degrees
-c) 4.391E+01 degrees
-d) 4.830E+01 degrees
+e) 5.313E+01 degrees

3)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 9.459E+00 V/m2
+b) 1.040E+01 V/m2
-c) 1.145E+01 V/m2
-d) 1.259E+01 V/m2
-e) 1.385E+01 V/m2
4)
A ring is uniformly charged with a net charge of 5 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
-a) 5.581E+09 N/C2
-b) 6.139E+09 N/C2
+c) 6.753E+09 N/C2
-d) 7.428E+09 N/C2
-e) 8.171E+09 N/C2



Click these links for the keys:



Key: S2

edit

1)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 6.877E+00 V/m2
-b) 7.565E+00 V/m2
+c) 8.321E+00 V/m2
-d) 9.153E+00 V/m2
-e) 1.007E+01 V/m2
2)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 5.377E+01 degrees
-b) 5.914E+01 degrees
-c) 6.506E+01 degrees
+d) 7.157E+01 degrees
-e) 7.872E+01 degrees
3)
A ring is uniformly charged with a net charge of 9 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.4 m (on axis) away from the loop's center?
-a) 7.119E+09 N/C2
-b) 7.831E+09 N/C2
+c) 8.614E+09 N/C2
-d) 9.476E+09 N/C2
-e) 1.042E+10 N/C2
4)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.5 m. Evaluate at x=1.1 m if a=0.62 m, b=1.3 m. The total charge on the rod is 7 nC.
-a) 6.311E+00 V/m2
-b) 6.943E+00 V/m2
+c) 7.637E+00 V/m2
-d) 8.401E+00 V/m2
-e) 9.241E+00 V/m2



Click these links for the keys:



Key: T0

edit
1)
A ring is uniformly charged with a net charge of 5 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
+a) 4.788E+09 N/C2
-b) 5.267E+09 N/C2
-c) 5.793E+09 N/C2
-d) 6.373E+09 N/C2
-e) 7.010E+09 N/C2
2)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.5 m. Evaluate at x=1.1 m if a=0.62 m, b=1.3 m. The total charge on the rod is 7 nC.
-a) 6.311E+00 V/m2
-b) 6.943E+00 V/m2
+c) 7.637E+00 V/m2
-d) 8.401E+00 V/m2
-e) 9.241E+00 V/m2

3) A large thin isolated square plate has an area of 3 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

+a) 9.412E+01 N/C
-b) 1.035E+02 N/C
-c) 1.139E+02 N/C
-d) 1.253E+02 N/C
-e) 1.378E+02 N/C
4)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 3.961E+01 degrees
-b) 4.357E+01 degrees
-c) 4.793E+01 degrees
-d) 5.272E+01 degrees
+e) 5.799E+01 degrees



Click these links for the keys:



Key: T1

edit
1)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.9 m. Evaluate at x=0.83 m if a=0.7 m, b=1.8 m. The total charge on the rod is 9 nC.
+a) 6.897E+00 V/m2
-b) 7.587E+00 V/m2
-c) 8.345E+00 V/m2
-d) 9.180E+00 V/m2
-e) 1.010E+01 V/m2

2) A large thin isolated square plate has an area of 9 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

-a) 2.357E+01 N/C
-b) 2.593E+01 N/C
-c) 2.852E+01 N/C
+d) 3.137E+01 N/C
-e) 3.451E+01 N/C
3)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 5.914E+01 degrees
-b) 6.506E+01 degrees
+c) 7.157E+01 degrees
-d) 7.872E+01 degrees
-e) 8.659E+01 degrees
4)
A ring is uniformly charged with a net charge of 9 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.73 m (on axis) away from the loop's center?
-a) 7.415E+09 N/C2
-b) 8.156E+09 N/C2
-c) 8.972E+09 N/C2
-d) 9.869E+09 N/C2
+e) 1.086E+10 N/C2



Click these links for the keys:



Key: T2

edit

1) A large thin isolated square plate has an area of 3 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

+a) 9.412E+01 N/C
-b) 1.035E+02 N/C
-c) 1.139E+02 N/C
-d) 1.253E+02 N/C
-e) 1.378E+02 N/C
2)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.9 m. Evaluate at x=0.54 m if a=1.0 m, b=2.0 m. The total charge on the rod is 3 nC.
-a) 1.665E+00 V/m2
-b) 1.831E+00 V/m2
-c) 2.014E+00 V/m2
+d) 2.216E+00 V/m2
-e) 2.437E+00 V/m2
3)
A ring is uniformly charged with a net charge of 3 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
+a) 3.159E+09 N/C2
-b) 3.475E+09 N/C2
-c) 3.823E+09 N/C2
-d) 4.205E+09 N/C2
-e) 4.626E+09 N/C2
4)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 5.377E+01 degrees
-b) 5.914E+01 degrees
-c) 6.506E+01 degrees
+d) 7.157E+01 degrees
-e) 7.872E+01 degrees



Click these links for the keys:



Key: U0

edit
1)
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.5 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.33 m (on axis) away from the loop's center?
-a) 1.353E+09 N/C2
-b) 1.488E+09 N/C2
+c) 1.637E+09 N/C2
-d) 1.801E+09 N/C2
-e) 1.981E+09 N/C2
2)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.8 m. Evaluate at x=0.5 m if a=0.67 m, b=2.4 m. The total charge on the rod is 9 nC.
-a) 5.465E+00 V/m2
-b) 6.012E+00 V/m2
-c) 6.613E+00 V/m2
+d) 7.274E+00 V/m2
-e) 8.002E+00 V/m2
3)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 5.062E+01 degrees
-b) 5.569E+01 degrees
-c) 6.125E+01 degrees
+d) 6.738E+01 degrees
-e) 7.412E+01 degrees
4)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 4.171E-14 N
-b) 4.588E-14 N
+c) 5.047E-14 N
-d) 5.551E-14 N
-e) 6.107E-14 N



Click these links for the keys:



Key: U1

edit
1)
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.5 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.33 m (on axis) away from the loop's center?
-a) 1.353E+09 N/C2
-b) 1.488E+09 N/C2
+c) 1.637E+09 N/C2
-d) 1.801E+09 N/C2
-e) 1.981E+09 N/C2
2)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 5.569E+01 degrees
-b) 6.125E+01 degrees
+c) 6.738E+01 degrees
-d) 7.412E+01 degrees
-e) 8.153E+01 degrees
3)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.5 m. Evaluate at x=1.1 m if a=0.62 m, b=1.3 m. The total charge on the rod is 7 nC.
-a) 6.311E+00 V/m2
-b) 6.943E+00 V/m2
+c) 7.637E+00 V/m2
-d) 8.401E+00 V/m2
-e) 9.241E+00 V/m2
4)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 8.259E-15 N
-b) 9.085E-15 N
-c) 9.993E-15 N
-d) 1.099E-14 N
+e) 1.209E-14 N



Click these links for the keys:



Key: U2

edit
1)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.5 m. Evaluate at x=1.0 m if a=1.1 m, b=1.4 m. The total charge on the rod is 5 nC.
+a) 4.602E+00 V/m2
-b) 5.062E+00 V/m2
-c) 5.568E+00 V/m2
-d) 6.125E+00 V/m2
-e) 6.738E+00 V/m2
2)
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.2 m (on axis) away from the loop's center?
-a) 6.925E+09 N/C2
-b) 7.617E+09 N/C2
+c) 8.379E+09 N/C2
-d) 9.217E+09 N/C2
-e) 1.014E+10 N/C2
3)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 5.377E+01 degrees
-b) 5.914E+01 degrees
-c) 6.506E+01 degrees
+d) 7.157E+01 degrees
-e) 7.872E+01 degrees
4)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 5.243E-14 N
+b) 5.768E-14 N
-c) 6.344E-14 N
-d) 6.979E-14 N
-e) 7.677E-14 N



Click these links for the keys:



Key: V0

edit
1)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 5.569E+01 degrees
-b) 6.125E+01 degrees
+c) 6.738E+01 degrees
-d) 7.412E+01 degrees
-e) 8.153E+01 degrees
2)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.8 m. Evaluate at x=0.65 m if a=0.85 m, b=1.8 m. The total charge on the rod is 5 nC.
-a) 3.959E+00 V/m2
+b) 4.355E+00 V/m2
-c) 4.790E+00 V/m2
-d) 5.269E+00 V/m2
-e) 5.796E+00 V/m2
3)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 8.613E-15 N
-b) 9.474E-15 N
-c) 1.042E-14 N
+d) 1.146E-14 N
-e) 1.261E-14 N

4) A large thin isolated square plate has an area of 9 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

-a) 2.357E+01 N/C
-b) 2.593E+01 N/C
-c) 2.852E+01 N/C
+d) 3.137E+01 N/C
-e) 3.451E+01 N/C



Click these links for the keys:



Key: V1

edit

1) A large thin isolated square plate has an area of 8 m2. It is uniformly charged with 6 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

-a) 3.500E+01 N/C
-b) 3.850E+01 N/C
+c) 4.235E+01 N/C
-d) 4.659E+01 N/C
-e) 5.125E+01 N/C
2)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.3 m. Evaluate at x=0.83 m if a=0.82 m, b=1.3 m. The total charge on the rod is 7 nC.
-a) 8.690E+00 V/m2
-b) 9.559E+00 V/m2
+c) 1.051E+01 V/m2
-d) 1.157E+01 V/m2
-e) 1.272E+01 V/m2
3)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 1.473E-14 N
-b) 1.620E-14 N
-c) 1.782E-14 N
-d) 1.960E-14 N
+e) 2.156E-14 N
4)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 6.125E+01 degrees
+b) 6.738E+01 degrees
-c) 7.412E+01 degrees
-d) 8.153E+01 degrees
-e) 8.968E+01 degrees



Click these links for the keys:



Key: V2

edit
1)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 4.743E+01 degrees
-b) 5.217E+01 degrees
-c) 5.739E+01 degrees
-d) 6.313E+01 degrees
+e) 6.944E+01 degrees

2) A large thin isolated square plate has an area of 5 m2. It is uniformly charged with 8 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

-a) 6.171E+01 N/C
-b) 6.788E+01 N/C
-c) 7.467E+01 N/C
-d) 8.214E+01 N/C
+e) 9.035E+01 N/C
3)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.2 m. Evaluate at x=0.73 m if a=0.52 m, b=1.6 m. The total charge on the rod is 7 nC.
-a) 9.655E+00 V/m2
-b) 1.062E+01 V/m2
-c) 1.168E+01 V/m2
+d) 1.285E+01 V/m2
-e) 1.414E+01 V/m2
4)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 5.243E-14 N
+b) 5.768E-14 N
-c) 6.344E-14 N
-d) 6.979E-14 N
-e) 7.677E-14 N



Click these links for the keys:



Key: W0

edit
1)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 4.743E+01 degrees
-b) 5.217E+01 degrees
-c) 5.739E+01 degrees
-d) 6.313E+01 degrees
+e) 6.944E+01 degrees
2)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.5 m. Evaluate at x=1.0 m if a=1.1 m, b=1.4 m. The total charge on the rod is 5 nC.
+a) 4.602E+00 V/m2
-b) 5.062E+00 V/m2
-c) 5.568E+00 V/m2
-d) 6.125E+00 V/m2
-e) 6.738E+00 V/m2
3)
A ring is uniformly charged with a net charge of 9 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.73 m (on axis) away from the loop's center?
-a) 7.415E+09 N/C2
-b) 8.156E+09 N/C2
-c) 8.972E+09 N/C2
-d) 9.869E+09 N/C2
+e) 1.086E+10 N/C2
4)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 5.243E-14 N
+b) 5.768E-14 N
-c) 6.344E-14 N
-d) 6.979E-14 N
-e) 7.677E-14 N



Click these links for the keys:



Key: W1

edit
1)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 9.958E-15 N
-b) 1.095E-14 N
-c) 1.205E-14 N
-d) 1.325E-14 N
+e) 1.458E-14 N
2)
A ring is uniformly charged with a net charge of 5 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
+a) 4.788E+09 N/C2
-b) 5.267E+09 N/C2
-c) 5.793E+09 N/C2
-d) 6.373E+09 N/C2
-e) 7.010E+09 N/C2
3)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.8 m. Evaluate at x=0.5 m if a=0.67 m, b=2.4 m. The total charge on the rod is 9 nC.
-a) 5.465E+00 V/m2
-b) 6.012E+00 V/m2
-c) 6.613E+00 V/m2
+d) 7.274E+00 V/m2
-e) 8.002E+00 V/m2
4)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 3.629E+01 degrees
-b) 3.992E+01 degrees
-c) 4.391E+01 degrees
-d) 4.830E+01 degrees
+e) 5.313E+01 degrees



Click these links for the keys:



Key: W2

edit
1)
A ring is uniformly charged with a net charge of 8 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.32 m (on axis) away from the loop's center?
-a) 3.339E+09 N/C2
-b) 3.673E+09 N/C2
-c) 4.041E+09 N/C2
+d) 4.445E+09 N/C2
-e) 4.889E+09 N/C2
2)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.8 m. Evaluate at x=1.0 m if a=1.0 m, b=1.8 m. The total charge on the rod is 6 nC.
-a) 3.610E+00 V/m2
+b) 3.971E+00 V/m2
-c) 4.368E+00 V/m2
-d) 4.804E+00 V/m2
-e) 5.285E+00 V/m2
3)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 5.914E+01 degrees
-b) 6.506E+01 degrees
+c) 7.157E+01 degrees
-d) 7.872E+01 degrees
-e) 8.659E+01 degrees
4)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 8.259E-15 N
-b) 9.085E-15 N
-c) 9.993E-15 N
-d) 1.099E-14 N
+e) 1.209E-14 N



Click these links for the keys:



Key: X0

edit
1)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 9.750E-15 N
-b) 1.072E-14 N
-c) 1.180E-14 N
-d) 1.298E-14 N
+e) 1.427E-14 N

2)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

+a) 5.647E+00 V/m2
-b) 6.212E+00 V/m2
-c) 6.833E+00 V/m2
-d) 7.517E+00 V/m2
-e) 8.268E+00 V/m2

3) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

+a) 8.471E+01 N/C
-b) 9.318E+01 N/C
-c) 1.025E+02 N/C
-d) 1.127E+02 N/C
-e) 1.240E+02 N/C
4)
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
-a) 1.764E+09 N/C2
-b) 1.941E+09 N/C2
+c) 2.135E+09 N/C2
-d) 2.348E+09 N/C2
-e) 2.583E+09 N/C2



Click these links for the keys:



Key: X1

edit
1)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 3.391E-14 N
-b) 3.731E-14 N
-c) 4.104E-14 N
+d) 4.514E-14 N
-e) 4.965E-14 N

2)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 3.228E+00 V/m2
-b) 3.551E+00 V/m2
-c) 3.906E+00 V/m2
-d) 4.297E+00 V/m2
+e) 4.727E+00 V/m2

3) A large thin isolated square plate has an area of 4 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?

-a) 9.546E+01 N/C
-b) 1.050E+02 N/C
-c) 1.155E+02 N/C
+d) 1.271E+02 N/C
-e) 1.398E+02 N/C
4)
A ring is uniformly charged with a net charge of 4 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.0 m (on axis) away from the loop's center?
+a) 5.352E+09 N/C2
-b) 5.887E+09 N/C2
-c) 6.476E+09 N/C2
-d) 7.124E+09 N/C2
-e) 7.836E+09 N/C2



Click these links for the keys:



Key: X2

edit

1)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

+a) 2.898E+01 V/m2
-b) 3.188E+01 V/m2
-c) 3.507E+01 V/m2
-d) 3.857E+01 V/m2
-e) 4.243E+01 V/m2
2)
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
-a) 1.764E+09 N/C2
-b) 1.941E+09 N/C2
+c) 2.135E+09 N/C2
-d) 2.348E+09 N/C2
-e) 2.583E+09 N/C2
3)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 2.544E-14 N
-b) 2.798E-14 N
-c) 3.078E-14 N
+d) 3.385E-14 N
-e) 3.724E-14 N

4) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?

-a) 7.000E+01 N/C
-b) 7.701E+01 N/C
+c) 8.471E+01 N/C
-d) 9.318E+01 N/C
-e) 1.025E+02 N/C



Click these links for the keys:



Key: Y0

edit

1) A large thin isolated square plate has an area of 3 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

+a) 9.412E+01 N/C
-b) 1.035E+02 N/C
-c) 1.139E+02 N/C
-d) 1.253E+02 N/C
-e) 1.378E+02 N/C

2)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 6.877E+00 V/m2
-b) 7.565E+00 V/m2
+c) 8.321E+00 V/m2
-d) 9.153E+00 V/m2
-e) 1.007E+01 V/m2
3)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 5.243E+01 degrees
-b) 5.767E+01 degrees
+c) 6.343E+01 degrees
-d) 6.978E+01 degrees
-e) 7.676E+01 degrees
4)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 8.613E-15 N
-b) 9.474E-15 N
-c) 1.042E-14 N
+d) 1.146E-14 N
-e) 1.261E-14 N



Click these links for the keys:



Key: Y1

edit
1)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 1.028E-14 N
-b) 1.130E-14 N
-c) 1.244E-14 N
-d) 1.368E-14 N
+e) 1.505E-14 N
2)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 5.243E+01 degrees
-b) 5.767E+01 degrees
+c) 6.343E+01 degrees
-d) 6.978E+01 degrees
-e) 7.676E+01 degrees

3)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 3.228E+00 V/m2
-b) 3.551E+00 V/m2
-c) 3.906E+00 V/m2
-d) 4.297E+00 V/m2
+e) 4.727E+00 V/m2

4) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 6 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?

+a) 5.647E+01 N/C
-b) 6.212E+01 N/C
-c) 6.833E+01 N/C
-d) 7.516E+01 N/C
-e) 8.268E+01 N/C



Click these links for the keys:



Key: Y2

edit

1) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

-a) 3.214E+01 N/C
-b) 3.536E+01 N/C
-c) 3.889E+01 N/C
-d) 4.278E+01 N/C
+e) 4.706E+01 N/C
2)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 1.308E-13 N
-b) 1.439E-13 N
-c) 1.583E-13 N
+d) 1.741E-13 N
-e) 1.915E-13 N

3)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 9.459E+00 V/m2
+b) 1.040E+01 V/m2
-c) 1.145E+01 V/m2
-d) 1.259E+01 V/m2
-e) 1.385E+01 V/m2
4)
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
-a) 5.272E+01 degrees
+b) 5.799E+01 degrees
-c) 6.379E+01 degrees
-d) 7.017E+01 degrees
-e) 7.719E+01 degrees



Click these links for the keys:



Key: Z0

edit

1) A large thin isolated square plate has an area of 4 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?

-a) 9.546E+01 N/C
-b) 1.050E+02 N/C
-c) 1.155E+02 N/C
+d) 1.271E+02 N/C
-e) 1.398E+02 N/C
2)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.3 m. Evaluate at x=0.83 m if a=0.82 m, b=1.3 m. The total charge on the rod is 7 nC.
-a) 8.690E+00 V/m2
-b) 9.559E+00 V/m2
+c) 1.051E+01 V/m2
-d) 1.157E+01 V/m2
-e) 1.272E+01 V/m2
3)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 9.958E-15 N
-b) 1.095E-14 N
-c) 1.205E-14 N
-d) 1.325E-14 N
+e) 1.458E-14 N

4)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 8.933E+00 V/m2
-b) 9.826E+00 V/m2
+c) 1.081E+01 V/m2
-d) 1.189E+01 V/m2
-e) 1.308E+01 V/m2



Click these links for the keys:



Key: Z1

edit

1)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

+a) 2.898E+01 V/m2
-b) 3.188E+01 V/m2
-c) 3.507E+01 V/m2
-d) 3.857E+01 V/m2
-e) 4.243E+01 V/m2
2)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.2 m. Evaluate at x=0.54 m if a=0.76 m, b=1.7 m. The total charge on the rod is 8 nC.
-a) 1.399E+01 V/m2
+b) 1.539E+01 V/m2
-c) 1.693E+01 V/m2
-d) 1.862E+01 V/m2
-e) 2.049E+01 V/m2

3) A large thin isolated square plate has an area of 3 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

+a) 1.694E+02 N/C
-b) 1.864E+02 N/C
-c) 2.050E+02 N/C
-d) 2.255E+02 N/C
-e) 2.480E+02 N/C
4)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 2.544E-14 N
-b) 2.798E-14 N
-c) 3.078E-14 N
+d) 3.385E-14 N
-e) 3.724E-14 N



Click these links for the keys:



Key: Z2

edit
1)
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
-a) 1.028E-14 N
-b) 1.130E-14 N
-c) 1.244E-14 N
-d) 1.368E-14 N
+e) 1.505E-14 N

2)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

-a) 2.567E+01 V/m2
-b) 2.824E+01 V/m2
-c) 3.106E+01 V/m2
-d) 3.417E+01 V/m2
+e) 3.759E+01 V/m2
3)
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.7 m. Evaluate at x=0.76 m if a=1.1 m, b=1.6 m. The total charge on the rod is 8 nC.
-a) 5.267E+00 V/m2
-b) 5.794E+00 V/m2
-c) 6.374E+00 V/m2
+d) 7.011E+00 V/m2
-e) 7.712E+00 V/m2

4) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?

-a) 3.214E+01 N/C
-b) 3.536E+01 N/C
-c) 3.889E+01 N/C
-d) 4.278E+01 N/C
+e) 4.706E+01 N/C



Click these links for the keys: