# 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 A0Edit

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/m
^{2} - b) 8.269E+00 V/m
^{2} - c) 9.096E+00 V/m
^{2} - d) 1.001E+01 V/m
^{2} - e) 1.101E+01 V/m
^{2}

- 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

- a) 4.788E+09 N/C
^{2} - b) 5.267E+09 N/C
^{2} - c) 5.793E+09 N/C
^{2} - d) 6.373E+09 N/C
^{2} - e) 7.010E+09 N/C
^{2}

4) A large thin isolated square plate has an area of 4 m^{2}. 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 A1Edit

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/m
^{2} - b) 8.269E+00 V/m
^{2} - c) 9.096E+00 V/m
^{2} - d) 1.001E+01 V/m
^{2} - e) 1.101E+01 V/m
^{2}

- a) 6.925E+09 N/C
^{2} - b) 7.617E+09 N/C
^{2} - c) 8.379E+09 N/C
^{2} - d) 9.217E+09 N/C
^{2} - e) 1.014E+10 N/C
^{2}

3) A large thin isolated square plate has an area of 8 m^{2}. 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

- 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 A2Edit

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/C
^{2} - b) 3.673E+09 N/C
^{2} - c) 4.041E+09 N/C
^{2} - d) 4.445E+09 N/C
^{2} - e) 4.889E+09 N/C
^{2}

2) A large thin isolated square plate has an area of 6 m^{2}. 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/m
^{2} - b) 3.551E+00 V/m
^{2} - c) 3.906E+00 V/m
^{2} - d) 4.297E+00 V/m
^{2} - e) 4.727E+00 V/m
^{2}

- 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 B0Edit

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/m
^{2} - b) 8.269E+00 V/m
^{2} - c) 9.096E+00 V/m
^{2} - d) 1.001E+01 V/m
^{2} - e) 1.101E+01 V/m
^{2}

- 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 m^{2}. 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

- a) 1.764E+09 N/C
^{2} - b) 1.941E+09 N/C
^{2} - c) 2.135E+09 N/C
^{2} - d) 2.348E+09 N/C
^{2} - e) 2.583E+09 N/C
^{2}

#### c05 B1Edit

1) A large thin isolated square plate has an area of 5 m^{2}. 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

- 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

- a) 3.159E+09 N/C
^{2} - b) 3.475E+09 N/C
^{2} - c) 3.823E+09 N/C
^{2} - d) 4.205E+09 N/C
^{2} - e) 4.626E+09 N/C
^{2}

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/m
^{2} - b) 5.648E-01 V/m
^{2} - c) 6.212E-01 V/m
^{2} - d) 6.834E-01 V/m
^{2} - e) 7.517E-01 V/m
^{2}

#### c05 B2Edit

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

- a) 3.339E+09 N/C
^{2} - b) 3.673E+09 N/C
^{2} - c) 4.041E+09 N/C
^{2} - d) 4.445E+09 N/C
^{2} - e) 4.889E+09 N/C
^{2}

3) A large thin isolated square plate has an area of 8 m^{2}. 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/m
^{2} - b) 4.724E+00 V/m
^{2} - c) 5.196E+00 V/m
^{2} - d) 5.716E+00 V/m
^{2} - e) 6.288E+00 V/m
^{2}

### c05 C0Edit

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/m
^{2} - b) 9.826E+00 V/m
^{2} - c) 1.081E+01 V/m
^{2} - d) 1.189E+01 V/m
^{2} - e) 1.308E+01 V/m
^{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/m
^{2} - b) 3.971E+00 V/m
^{2} - c) 4.368E+00 V/m
^{2} - d) 4.804E+00 V/m
^{2} - e) 5.285E+00 V/m
^{2}

- a) 1.202E+09 N/C
^{2} - b) 1.322E+09 N/C
^{2} - c) 1.454E+09 N/C
^{2} - d) 1.599E+09 N/C
^{2} - e) 1.759E+09 N/C
^{2}

- 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 C1Edit

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/m
^{2} - b) 4.355E+00 V/m
^{2} - c) 4.790E+00 V/m
^{2} - d) 5.269E+00 V/m
^{2} - e) 5.796E+00 V/m
^{2}

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/m
^{2} - b) 1.040E+01 V/m
^{2} - c) 1.145E+01 V/m
^{2} - d) 1.259E+01 V/m
^{2} - e) 1.385E+01 V/m
^{2}

- a) 1.764E+09 N/C
^{2} - b) 1.941E+09 N/C
^{2} - c) 2.135E+09 N/C
^{2} - d) 2.348E+09 N/C
^{2} - e) 2.583E+09 N/C
^{2}

- 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 C2Edit

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/m
^{2} - b) 8.269E+00 V/m
^{2} - c) 9.096E+00 V/m
^{2} - d) 1.001E+01 V/m
^{2} - e) 1.101E+01 V/m
^{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/m
^{2} - b) 6.943E+00 V/m
^{2} - c) 7.637E+00 V/m
^{2} - d) 8.401E+00 V/m
^{2} - e) 9.241E+00 V/m
^{2}

- a) 3.339E+09 N/C
^{2} - b) 3.673E+09 N/C
^{2} - c) 4.041E+09 N/C
^{2} - d) 4.445E+09 N/C
^{2} - e) 4.889E+09 N/C
^{2}

### c05 D0Edit

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/m
^{2} - b) 1.384E+00 V/m
^{2} - c) 1.522E+00 V/m
^{2} - d) 1.674E+00 V/m
^{2} - e) 1.842E+00 V/m
^{2}

2) A large thin isolated square plate has an area of 9 m^{2}. 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

- 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

- a) 1.764E+09 N/C
^{2} - b) 1.941E+09 N/C
^{2} - c) 2.135E+09 N/C
^{2} - d) 2.348E+09 N/C
^{2} - e) 2.583E+09 N/C
^{2}

#### c05 D1Edit

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

- a) 2.429E+09 N/C
^{2} - b) 2.672E+09 N/C
^{2} - c) 2.939E+09 N/C
^{2} - d) 3.233E+09 N/C
^{2} - e) 3.556E+09 N/C
^{2}

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/m
^{2} - b) 8.602E-01 V/m
^{2} - c) 9.462E-01 V/m
^{2} - d) 1.041E+00 V/m
^{2} - e) 1.145E+00 V/m
^{2}

4) A large thin isolated square plate has an area of 4 m^{2}. 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 D2Edit

1) A large thin isolated square plate has an area of 6 m^{2}. 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

- a) 3.159E+09 N/C
^{2} - b) 3.475E+09 N/C
^{2} - c) 3.823E+09 N/C
^{2} - d) 4.205E+09 N/C
^{2} - e) 4.626E+09 N/C
^{2}

- 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/m
^{2} - b) 8.269E+00 V/m
^{2} - c) 9.096E+00 V/m
^{2} - d) 1.001E+01 V/m
^{2} - e) 1.101E+01 V/m
^{2}

### c05 E0Edit

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 m^{2}. 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

- a) 7.415E+09 N/C
^{2} - b) 8.156E+09 N/C
^{2} - c) 8.972E+09 N/C
^{2} - d) 9.869E+09 N/C
^{2} - e) 1.086E+10 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=1.4 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/m
^{2} - b) 3.477E+00 V/m
^{2} - c) 3.825E+00 V/m
^{2} - d) 4.208E+00 V/m
^{2} - e) 4.628E+00 V/m
^{2}

#### c05 E1Edit

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/m
^{2} - b) 1.539E+01 V/m
^{2} - c) 1.693E+01 V/m
^{2} - d) 1.862E+01 V/m
^{2} - e) 2.049E+01 V/m
^{2}

- a) 4.142E+09 N/C
^{2} - b) 4.556E+09 N/C
^{2} - c) 5.012E+09 N/C
^{2} - d) 5.513E+09 N/C
^{2} - e) 6.064E+09 N/C
^{2}

3) A large thin isolated square plate has an area of 5 m^{2}. 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

- 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 E2Edit

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/m
^{2} - b) 3.971E+00 V/m
^{2} - c) 4.368E+00 V/m
^{2} - d) 4.804E+00 V/m
^{2} - e) 5.285E+00 V/m
^{2}

2) A large thin isolated square plate has an area of 5 m^{2}. 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

- 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

- a) 1.764E+09 N/C
^{2} - b) 1.941E+09 N/C
^{2} - c) 2.135E+09 N/C
^{2} - d) 2.348E+09 N/C
^{2} - e) 2.583E+09 N/C
^{2}

### c05 F0Edit

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

- a) 3.672E+09 N/C
^{2} - b) 4.039E+09 N/C
^{2} - c) 4.443E+09 N/C
^{2} - d) 4.887E+09 N/C
^{2} - e) 5.376E+09 N/C
^{2}

3) A large thin isolated square plate has an area of 3 m^{2}. 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

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/m
^{2} - b) 9.079E-01 V/m
^{2} - c) 9.987E-01 V/m
^{2} - d) 1.099E+00 V/m
^{2} - e) 1.208E+00 V/m
^{2}

#### c05 F1Edit

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/m
^{2} - b) 9.826E+00 V/m
^{2} - c) 1.081E+01 V/m
^{2} - d) 1.189E+01 V/m
^{2} - e) 1.308E+01 V/m
^{2}

- 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 m^{2}. 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

- a) 3.159E+09 N/C
^{2} - b) 3.475E+09 N/C
^{2} - c) 3.823E+09 N/C
^{2} - d) 4.205E+09 N/C
^{2} - e) 4.626E+09 N/C
^{2}

#### c05 F2Edit

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

- a) 3.159E+09 N/C
^{2} - b) 3.475E+09 N/C
^{2} - c) 3.823E+09 N/C
^{2} - d) 4.205E+09 N/C
^{2} - e) 4.626E+09 N/C
^{2}

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/m
^{2} - b) 3.188E+01 V/m
^{2} - c) 3.507E+01 V/m
^{2} - d) 3.857E+01 V/m
^{2} - e) 4.243E+01 V/m
^{2}

4) A large thin isolated square plate has an area of 6 m^{2}. 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 G0Edit

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/m
^{2} - b) 8.269E+00 V/m
^{2} - c) 9.096E+00 V/m
^{2} - d) 1.001E+01 V/m
^{2} - e) 1.101E+01 V/m
^{2}

- a) 1.202E+09 N/C
^{2} - b) 1.322E+09 N/C
^{2} - c) 1.454E+09 N/C
^{2} - d) 1.599E+09 N/C
^{2} - e) 1.759E+09 N/C
^{2}

3) A large thin isolated square plate has an area of 6 m^{2}. 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

- 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 G1Edit

1) A large thin isolated square plate has an area of 5 m^{2}. 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

- 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

- a) 1.353E+09 N/C
^{2} - b) 1.488E+09 N/C
^{2} - c) 1.637E+09 N/C
^{2} - d) 1.801E+09 N/C
^{2} - e) 1.981E+09 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) 5.647E+00 V/m
^{2} - b) 6.212E+00 V/m
^{2} - c) 6.833E+00 V/m
^{2} - d) 7.517E+00 V/m
^{2} - e) 8.268E+00 V/m
^{2}

#### c05 G2Edit

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/C
^{2} - b) 4.039E+09 N/C
^{2} - c) 4.443E+09 N/C
^{2} - d) 4.887E+09 N/C
^{2} - e) 5.376E+09 N/C
^{2}

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/m
^{2} - b) 5.457E-01 V/m
^{2} - c) 6.002E-01 V/m
^{2} - d) 6.603E-01 V/m
^{2} - e) 7.263E-01 V/m
^{2}

- 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 m^{2}. 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 H0Edit

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

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/m
^{2} - b) 8.602E-01 V/m
^{2} - c) 9.462E-01 V/m
^{2} - d) 1.041E+00 V/m
^{2} - e) 1.145E+00 V/m
^{2}

3) A large thin isolated square plate has an area of 4 m^{2}. 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

- a) 2.013E+09 N/C
^{2} - b) 2.214E+09 N/C
^{2} - c) 2.435E+09 N/C
^{2} - d) 2.679E+09 N/C
^{2} - e) 2.947E+09 N/C
^{2}

#### c05 H1Edit

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/C
^{2} - b) 2.214E+09 N/C
^{2} - c) 2.435E+09 N/C
^{2} - d) 2.679E+09 N/C
^{2} - e) 2.947E+09 N/C
^{2}

- 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 m^{2}. 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

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/m
^{2} - b) 9.079E-01 V/m
^{2} - c) 9.987E-01 V/m
^{2} - d) 1.099E+00 V/m
^{2} - e) 1.208E+00 V/m
^{2}

#### c05 H2Edit

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/C
^{2} - b) 5.267E+09 N/C
^{2} - c) 5.793E+09 N/C
^{2} - d) 6.373E+09 N/C
^{2} - e) 7.010E+09 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) 1.258E+00 V/m
^{2} - b) 1.384E+00 V/m
^{2} - c) 1.522E+00 V/m
^{2} - d) 1.674E+00 V/m
^{2} - e) 1.842E+00 V/m
^{2}

3) A large thin isolated square plate has an area of 4 m^{2}. 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

- 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 I0Edit

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/C
^{2} - b) 5.267E+09 N/C
^{2} - c) 5.793E+09 N/C
^{2} - d) 6.373E+09 N/C
^{2} - e) 7.010E+09 N/C
^{2}

- 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

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/m
^{2} - b) 1.384E+00 V/m
^{2} - c) 1.522E+00 V/m
^{2} - d) 1.674E+00 V/m
^{2} - e) 1.842E+00 V/m
^{2}

- 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 I1Edit

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

- 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

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/m
^{2} - b) 4.724E+00 V/m
^{2} - c) 5.196E+00 V/m
^{2} - d) 5.716E+00 V/m
^{2} - e) 6.288E+00 V/m
^{2}

- a) 1.202E+09 N/C
^{2} - b) 1.322E+09 N/C
^{2} - c) 1.454E+09 N/C
^{2} - d) 1.599E+09 N/C
^{2} - e) 1.759E+09 N/C
^{2}

#### c05 I2Edit

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

- a) 1.764E+09 N/C
^{2} - b) 1.941E+09 N/C
^{2} - c) 2.135E+09 N/C
^{2} - d) 2.348E+09 N/C
^{2} - e) 2.583E+09 N/C
^{2}

- 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

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/m
^{2} - b) 8.602E-01 V/m
^{2} - c) 9.462E-01 V/m
^{2} - d) 1.041E+00 V/m
^{2} - e) 1.145E+00 V/m
^{2}

### c05 J0Edit

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/C
^{2} - b) 1.488E+09 N/C
^{2} - c) 1.637E+09 N/C
^{2} - d) 1.801E+09 N/C
^{2} - e) 1.981E+09 N/C
^{2}

- 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

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/m
^{2} - b) 1.767E+00 V/m
^{2} - c) 1.943E+00 V/m
^{2} - d) 2.138E+00 V/m
^{2} - e) 2.351E+00 V/m
^{2}

- 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 J1Edit

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

- a) 8.336E+09 N/C
^{2} - b) 9.170E+09 N/C
^{2} - c) 1.009E+10 N/C
^{2} - d) 1.110E+10 N/C
^{2} - e) 1.220E+10 N/C
^{2}

- 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

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/m
^{2} - b) 3.551E+00 V/m
^{2} - c) 3.906E+00 V/m
^{2} - d) 4.297E+00 V/m
^{2} - e) 4.727E+00 V/m
^{2}

#### c05 J2Edit

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

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/m
^{2} - b) 1.384E+00 V/m
^{2} - c) 1.522E+00 V/m
^{2} - d) 1.674E+00 V/m
^{2} - e) 1.842E+00 V/m
^{2}

- 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

- a) 2.013E+09 N/C
^{2} - b) 2.214E+09 N/C
^{2} - c) 2.435E+09 N/C
^{2} - d) 2.679E+09 N/C
^{2} - e) 2.947E+09 N/C
^{2}

### c05 K0Edit

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

- 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

- a) 2.013E+09 N/C
^{2} - b) 2.214E+09 N/C
^{2} - c) 2.435E+09 N/C
^{2} - d) 2.679E+09 N/C
^{2} - e) 2.947E+09 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) 7.820E-01 V/m
^{2} - b) 8.602E-01 V/m
^{2} - c) 9.462E-01 V/m
^{2} - d) 1.041E+00 V/m
^{2} - e) 1.145E+00 V/m
^{2}

#### c05 K1Edit

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

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/m
^{2} - b) 9.079E-01 V/m
^{2} - c) 9.987E-01 V/m
^{2} - d) 1.099E+00 V/m
^{2} - e) 1.208E+00 V/m
^{2}

- 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

- a) 7.119E+09 N/C
^{2} - b) 7.831E+09 N/C
^{2} - c) 8.614E+09 N/C
^{2} - d) 9.476E+09 N/C
^{2} - e) 1.042E+10 N/C
^{2}

#### c05 K2Edit

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

- a) 6.925E+09 N/C
^{2} - b) 7.617E+09 N/C
^{2} - c) 8.379E+09 N/C
^{2} - d) 9.217E+09 N/C
^{2} - e) 1.014E+10 N/C
^{2}

- 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

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/m
^{2} - b) 1.125E+00 V/m
^{2} - c) 1.237E+00 V/m
^{2} - d) 1.361E+00 V/m
^{2} - e) 1.497E+00 V/m
^{2}

### c05 L0Edit

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/C
^{2} - b) 4.039E+09 N/C
^{2} - c) 4.443E+09 N/C
^{2} - d) 4.887E+09 N/C
^{2} - e) 5.376E+09 N/C
^{2}

- 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 m^{2}. 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

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/m
^{2} - b) 9.826E+00 V/m
^{2} - c) 1.081E+01 V/m
^{2} - d) 1.189E+01 V/m
^{2} - e) 1.308E+01 V/m
^{2}

#### c05 L1Edit

1) A large thin isolated square plate has an area of 3 m^{2}. 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

- a) 5.352E+09 N/C
^{2} - b) 5.887E+09 N/C
^{2} - c) 6.476E+09 N/C
^{2} - d) 7.124E+09 N/C
^{2} - e) 7.836E+09 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) 8.253E-01 V/m
^{2} - b) 9.079E-01 V/m
^{2} - c) 9.987E-01 V/m
^{2} - d) 1.099E+00 V/m
^{2} - e) 1.208E+00 V/m
^{2}

- 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 L2Edit

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/C
^{2} - b) 1.941E+09 N/C
^{2} - c) 2.135E+09 N/C
^{2} - d) 2.348E+09 N/C
^{2} - e) 2.583E+09 N/C
^{2}

2) A large thin isolated square plate has an area of 3 m^{2}. 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

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/m
^{2} - b) 5.457E-01 V/m
^{2} - c) 6.002E-01 V/m
^{2} - d) 6.603E-01 V/m
^{2} - e) 7.263E-01 V/m
^{2}

- 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 M0Edit

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/C
^{2} - b) 1.322E+09 N/C
^{2} - c) 1.454E+09 N/C
^{2} - d) 1.599E+09 N/C
^{2} - e) 1.759E+09 N/C
^{2}

- 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

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/m
^{2} - b) 5.457E-01 V/m
^{2} - c) 6.002E-01 V/m
^{2} - d) 6.603E-01 V/m
^{2} - e) 7.263E-01 V/m
^{2}

4) A large thin isolated square plate has an area of 5 m^{2}. 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 M1Edit

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 m^{2}. 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

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/m
^{2} - b) 9.079E-01 V/m
^{2} - c) 9.987E-01 V/m
^{2} - d) 1.099E+00 V/m
^{2} - e) 1.208E+00 V/m
^{2}

- a) 1.202E+09 N/C
^{2} - b) 1.322E+09 N/C
^{2} - c) 1.454E+09 N/C
^{2} - d) 1.599E+09 N/C
^{2} - e) 1.759E+09 N/C
^{2}

#### c05 M2Edit

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/m
^{2} - b) 9.816E-01 V/m
^{2} - c) 1.080E+00 V/m
^{2} - d) 1.188E+00 V/m
^{2} - e) 1.307E+00 V/m
^{2}

2) A large thin isolated square plate has an area of 6 m^{2}. 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

- 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

- a) 4.788E+09 N/C
^{2} - b) 5.267E+09 N/C
^{2} - c) 5.793E+09 N/C
^{2} - d) 6.373E+09 N/C
^{2} - e) 7.010E+09 N/C
^{2}

### c05 N0Edit

1) A large thin isolated square plate has an area of 3 m^{2}. 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

- 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

- a) 4.142E+09 N/C
^{2} - b) 4.556E+09 N/C
^{2} - c) 5.012E+09 N/C
^{2} - d) 5.513E+09 N/C
^{2} - e) 6.064E+09 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=0.96 m if a=0.95 m, b=1.8 m. The total charge on the rod is 7 nC.

- a) 3.385E+00 V/m
^{2} - b) 3.724E+00 V/m
^{2} - c) 4.096E+00 V/m
^{2} - d) 4.506E+00 V/m
^{2} - e) 4.957E+00 V/m
^{2}

#### c05 N1Edit

1) A large thin isolated square plate has an area of 5 m^{2}. 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

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/m
^{2} - b) 4.091E+00 V/m
^{2} - c) 4.500E+00 V/m
^{2} - d) 4.950E+00 V/m
^{2} - e) 5.445E+00 V/m
^{2}

- a) 5.352E+09 N/C
^{2} - b) 5.887E+09 N/C
^{2} - c) 6.476E+09 N/C
^{2} - d) 7.124E+09 N/C
^{2} - e) 7.836E+09 N/C
^{2}

- 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 N2Edit

1) A large thin isolated square plate has an area of 3 m^{2}. 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

- a) 7.119E+09 N/C
^{2} - b) 7.831E+09 N/C
^{2} - c) 8.614E+09 N/C
^{2} - d) 9.476E+09 N/C
^{2} - e) 1.042E+10 N/C
^{2}

- 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

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/m
^{2} - b) 1.831E+00 V/m
^{2} - c) 2.014E+00 V/m
^{2} - d) 2.216E+00 V/m
^{2} - e) 2.437E+00 V/m
^{2}

### c05 O0Edit

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/m
^{2} - b) 4.355E+00 V/m
^{2} - c) 4.790E+00 V/m
^{2} - d) 5.269E+00 V/m
^{2} - e) 5.796E+00 V/m
^{2}

2) A large thin isolated square plate has an area of 8 m^{2}. 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

- a) 3.672E+09 N/C
^{2} - b) 4.039E+09 N/C
^{2} - c) 4.443E+09 N/C
^{2} - d) 4.887E+09 N/C
^{2} - e) 5.376E+09 N/C
^{2}

- 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 O1Edit

1) A large thin isolated square plate has an area of 6 m^{2}. 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

- a) 1.764E+09 N/C
^{2} - b) 1.941E+09 N/C
^{2} - c) 2.135E+09 N/C
^{2} - d) 2.348E+09 N/C
^{2} - e) 2.583E+09 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=0.83 m if a=0.7 m, b=1.8 m. The total charge on the rod is 9 nC.

- a) 6.897E+00 V/m
^{2} - b) 7.587E+00 V/m
^{2} - c) 8.345E+00 V/m
^{2} - d) 9.180E+00 V/m
^{2} - e) 1.010E+01 V/m
^{2}

- 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 O2Edit

1) A large thin isolated square plate has an area of 8 m^{2}. 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

- a) 3.672E+09 N/C
^{2} - b) 4.039E+09 N/C
^{2} - c) 4.443E+09 N/C
^{2} - d) 4.887E+09 N/C
^{2} - e) 5.376E+09 N/C
^{2}

- 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

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/m
^{2} - b) 5.062E+00 V/m
^{2} - c) 5.568E+00 V/m
^{2} - d) 6.125E+00 V/m
^{2} - e) 6.738E+00 V/m
^{2}

### c05 P0Edit

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/m
^{2} - b) 8.602E-01 V/m
^{2} - c) 9.462E-01 V/m
^{2} - d) 1.041E+00 V/m
^{2} - e) 1.145E+00 V/m
^{2}

- a) 4.142E+09 N/C
^{2} - b) 4.556E+09 N/C
^{2} - c) 5.012E+09 N/C
^{2} - d) 5.513E+09 N/C
^{2} - e) 6.064E+09 N/C
^{2}

3) A large thin isolated square plate has an area of 4 m^{2}. 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

- 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 P1Edit

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

- a) 8.336E+09 N/C
^{2} - b) 9.170E+09 N/C
^{2} - c) 1.009E+10 N/C
^{2} - d) 1.110E+10 N/C
^{2} - e) 1.220E+10 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) 2.898E+01 V/m
^{2} - b) 3.188E+01 V/m
^{2} - c) 3.507E+01 V/m
^{2} - d) 3.857E+01 V/m
^{2} - e) 4.243E+01 V/m
^{2}

4) A large thin isolated square plate has an area of 6 m^{2}. 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 P2Edit

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/m
^{2} - b) 9.816E-01 V/m
^{2} - c) 1.080E+00 V/m
^{2} - d) 1.188E+00 V/m
^{2} - e) 1.307E+00 V/m
^{2}

- 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 m^{2}. 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

- a) 5.352E+09 N/C
^{2} - b) 5.887E+09 N/C
^{2} - c) 6.476E+09 N/C
^{2} - d) 7.124E+09 N/C
^{2} - e) 7.836E+09 N/C
^{2}

### c05 Q0Edit

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 m^{2}. 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

- a) 5.402E+09 N/C
^{2} - b) 5.943E+09 N/C
^{2} - c) 6.537E+09 N/C
^{2} - d) 7.191E+09 N/C
^{2} - e) 7.910E+09 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=1.5 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/m
^{2} - b) 6.595E+00 V/m
^{2} - c) 7.254E+00 V/m
^{2} - d) 7.980E+00 V/m
^{2} - e) 8.778E+00 V/m
^{2}

#### c05 Q1Edit

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/m
^{2} - b) 5.794E+00 V/m
^{2} - c) 6.374E+00 V/m
^{2} - d) 7.011E+00 V/m
^{2} - e) 7.712E+00 V/m
^{2}

- 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

- a) 3.339E+09 N/C
^{2} - b) 3.673E+09 N/C
^{2} - c) 4.041E+09 N/C
^{2} - d) 4.445E+09 N/C
^{2} - e) 4.889E+09 N/C
^{2}

4) A large thin isolated square plate has an area of 6 m^{2}. 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 Q2Edit

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/m
^{2} - b) 7.485E+00 V/m
^{2} - c) 8.233E+00 V/m
^{2} - d) 9.056E+00 V/m
^{2} - e) 9.962E+00 V/m
^{2}

2) A large thin isolated square plate has an area of 6 m^{2}. 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

- a) 3.159E+09 N/C
^{2} - b) 3.475E+09 N/C
^{2} - c) 3.823E+09 N/C
^{2} - d) 4.205E+09 N/C
^{2} - e) 4.626E+09 N/C
^{2}

- 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 R0Edit

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

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/m
^{2} - b) 1.040E+01 V/m
^{2} - c) 1.145E+01 V/m
^{2} - d) 1.259E+01 V/m
^{2} - e) 1.385E+01 V/m
^{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=0.83 m if a=0.7 m, b=1.8 m. The total charge on the rod is 9 nC.

- a) 6.897E+00 V/m
^{2} - b) 7.587E+00 V/m
^{2} - c) 8.345E+00 V/m
^{2} - d) 9.180E+00 V/m
^{2} - e) 1.010E+01 V/m
^{2}

- a) 8.336E+09 N/C
^{2} - b) 9.170E+09 N/C
^{2} - c) 1.009E+10 N/C
^{2} - d) 1.110E+10 N/C
^{2} - e) 1.220E+10 N/C
^{2}

#### c05 R1Edit

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/C
^{2} - b) 5.887E+09 N/C
^{2} - c) 6.476E+09 N/C
^{2} - d) 7.124E+09 N/C
^{2} - e) 7.836E+09 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) 3.722E-01 V/m
^{2} - b) 4.094E-01 V/m
^{2} - c) 4.504E-01 V/m
^{2} - d) 4.954E-01 V/m
^{2} - e) 5.450E-01 V/m
^{2}

- 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

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/m
^{2} - b) 4.091E+00 V/m
^{2} - c) 4.500E+00 V/m
^{2} - d) 4.950E+00 V/m
^{2} - e) 5.445E+00 V/m
^{2}

#### c05 R2Edit

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/C
^{2} - b) 1.941E+09 N/C
^{2} - c) 2.135E+09 N/C
^{2} - d) 2.348E+09 N/C
^{2} - e) 2.583E+09 N/C
^{2}

- 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

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/m
^{2} - b) 4.355E+00 V/m
^{2} - c) 4.790E+00 V/m
^{2} - d) 5.269E+00 V/m
^{2} - e) 5.796E+00 V/m
^{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) 4.295E+00 V/m
^{2} - b) 4.724E+00 V/m
^{2} - c) 5.196E+00 V/m
^{2} - d) 5.716E+00 V/m
^{2} - e) 6.288E+00 V/m
^{2}

### c05 S0Edit

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/m
^{2} - b) 1.767E+00 V/m
^{2} - c) 1.943E+00 V/m
^{2} - d) 2.138E+00 V/m
^{2} - e) 2.351E+00 V/m
^{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/m
^{2} - b) 3.477E+00 V/m
^{2} - c) 3.825E+00 V/m
^{2} - d) 4.208E+00 V/m
^{2} - e) 4.628E+00 V/m
^{2}

- 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

- a) 6.925E+09 N/C
^{2} - b) 7.617E+09 N/C
^{2} - c) 8.379E+09 N/C
^{2} - d) 9.217E+09 N/C
^{2} - e) 1.014E+10 N/C
^{2}

#### c05 S1Edit

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/m
^{2} - b) 3.724E+00 V/m
^{2} - c) 4.096E+00 V/m
^{2} - d) 4.506E+00 V/m
^{2} - e) 4.957E+00 V/m
^{2}

- 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

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/m
^{2} - b) 1.040E+01 V/m
^{2} - c) 1.145E+01 V/m
^{2} - d) 1.259E+01 V/m
^{2} - e) 1.385E+01 V/m
^{2}

- a) 5.581E+09 N/C
^{2} - b) 6.139E+09 N/C
^{2} - c) 6.753E+09 N/C
^{2} - d) 7.428E+09 N/C
^{2} - e) 8.171E+09 N/C
^{2}

#### c05 S2Edit

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/m
^{2} - b) 7.565E+00 V/m
^{2} - c) 8.321E+00 V/m
^{2} - d) 9.153E+00 V/m
^{2} - e) 1.007E+01 V/m
^{2}

- 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

- a) 7.119E+09 N/C
^{2} - b) 7.831E+09 N/C
^{2} - c) 8.614E+09 N/C
^{2} - d) 9.476E+09 N/C
^{2} - e) 1.042E+10 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=1.5 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/m
^{2} - b) 6.943E+00 V/m
^{2} - c) 7.637E+00 V/m
^{2} - d) 8.401E+00 V/m
^{2} - e) 9.241E+00 V/m
^{2}

### c05 T0Edit

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/C
^{2} - b) 5.267E+09 N/C
^{2} - c) 5.793E+09 N/C
^{2} - d) 6.373E+09 N/C
^{2} - e) 7.010E+09 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=1.5 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/m
^{2} - b) 6.943E+00 V/m
^{2} - c) 7.637E+00 V/m
^{2} - d) 8.401E+00 V/m
^{2} - e) 9.241E+00 V/m
^{2}

3) A large thin isolated square plate has an area of 3 m^{2}. 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

- 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 T1Edit

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/m
^{2} - b) 7.587E+00 V/m
^{2} - c) 8.345E+00 V/m
^{2} - d) 9.180E+00 V/m
^{2} - e) 1.010E+01 V/m
^{2}

2) A large thin isolated square plate has an area of 9 m^{2}. 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

- 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

- a) 7.415E+09 N/C
^{2} - b) 8.156E+09 N/C
^{2} - c) 8.972E+09 N/C
^{2} - d) 9.869E+09 N/C
^{2} - e) 1.086E+10 N/C
^{2}

#### c05 T2Edit

1) A large thin isolated square plate has an area of 3 m^{2}. 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

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/m
^{2} - b) 1.831E+00 V/m
^{2} - c) 2.014E+00 V/m
^{2} - d) 2.216E+00 V/m
^{2} - e) 2.437E+00 V/m
^{2}

- a) 3.159E+09 N/C
^{2} - b) 3.475E+09 N/C
^{2} - c) 3.823E+09 N/C
^{2} - d) 4.205E+09 N/C
^{2} - e) 4.626E+09 N/C
^{2}

- 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 U0Edit

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/C
^{2} - b) 1.488E+09 N/C
^{2} - c) 1.637E+09 N/C
^{2} - d) 1.801E+09 N/C
^{2} - e) 1.981E+09 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=1.8 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/m
^{2} - b) 6.012E+00 V/m
^{2} - c) 6.613E+00 V/m
^{2} - d) 7.274E+00 V/m
^{2} - e) 8.002E+00 V/m
^{2}

- 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

- 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 U1Edit

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/C
^{2} - b) 1.488E+09 N/C
^{2} - c) 1.637E+09 N/C
^{2} - d) 1.801E+09 N/C
^{2} - e) 1.981E+09 N/C
^{2}

- 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

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/m
^{2} - b) 6.943E+00 V/m
^{2} - c) 7.637E+00 V/m
^{2} - d) 8.401E+00 V/m
^{2} - e) 9.241E+00 V/m
^{2}

- 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 U2Edit

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/m
^{2} - b) 5.062E+00 V/m
^{2} - c) 5.568E+00 V/m
^{2} - d) 6.125E+00 V/m
^{2} - e) 6.738E+00 V/m
^{2}

- a) 6.925E+09 N/C
^{2} - b) 7.617E+09 N/C
^{2} - c) 8.379E+09 N/C
^{2} - d) 9.217E+09 N/C
^{2} - e) 1.014E+10 N/C
^{2}

- 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