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.
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?
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 ?
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 ?
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?
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 .
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 .
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 ?
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 ?
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?
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?
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?
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 .
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.
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 ?
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?
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 .
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?
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?
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 ?
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 .
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?
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?
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 .
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 ?
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 ?
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?
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 .
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 ?
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 .
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?
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 .
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?
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 .
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 .
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 ?
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 ?
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?
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?
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?
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.
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 ?
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.
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 ?
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 ?
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.
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 ?
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?
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?
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.
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?
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 ?
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?
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.
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 .
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?
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?
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.
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 ?
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?
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 ?
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 ?
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 ?
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 ?
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?
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 ?
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 ?
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 ?
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 ?
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 ?
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?
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?
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?
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 ?
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?
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 ?
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 .
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 ?
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?
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?
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 ?
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 ?
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?
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 .
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 .
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 ?
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 ?
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?
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?
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?
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 .
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.
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 ?
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?
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 .
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?
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?
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 ?
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 .
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?
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?
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 .
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 ?
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 ?
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?
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 .
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 ?
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 .
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?
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 .
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?
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 .
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 .
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 ?
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 ?
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?
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?
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?
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.
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 ?
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.
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 ?
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 ?
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.
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 ?
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?
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?
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.
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?
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 ?
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?
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.
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 .
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?
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?
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.
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 ?
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?
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 ?
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 ?
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 ?
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 ?
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?
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 ?
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 ?
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 ?
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 ?
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 ?
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?
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?
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?
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 ?
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?
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 ?
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 .
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 ?
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?