A long cylindrical shell (radius = 2.0 cm) has a charge uniformly distributed on its surface. If the magnitude of the electric field at a point 8.0 cm radially outward from the axis of the shell is 85 N/C, how much charge is distributed on a 2.0-m length of the charged cylindrical surface?
a. 0.38 nC
b. 0.76 nC
c. 0.19 nC
d. 0.57 nC
e. 0.98 nC
[Ques. 2] A long nonconducting cylinder (radius = 6.0 mm) has a nonuniform volume charge density given by r2, where = 6.2 mC/m5 and r is the distance from the axis of the cylinder. What is the magnitude of the electric field at a point 2.0 mm from the axis?
a. 1.4 N/C
b. 1.6 N/C
c. 1.8 N/C
d. 2.0 N/C
e. 5.4 N/C
[Ques. 3] Each 2.0-m length of a long cylinder (radius = 4.0 mm) has a charge of 4.0 nC distributed uniformly throughout its volume. What is the magnitude of the electric field at a point 5.0 mm from the axis of the cylinder?
a. 9.9 kN/C
b. 8.1 kN/C
c. 9.0 kN/C
d. 7.2 kN/C
e. 18 kN/C
[Ques. 4] A long nonconducting cylinder (radius = 12 cm) has a charge of uniform density (5.0 nC/m3) distributed throughout its volume. Determine the magnitude of the electric field 15 cm from the axis of the cylinder.
a. 20 N/C
b. 27 N/C
c. 16 N/C
d. 12 N/C
e. 54 N/C
[Ques. 5] A long nonconducting cylinder (radius = 12 cm) has a charge of uniform density (5.0 nC/m3) distributed throughout its column. Determine the magnitude of the electric field 5.0 cm from the axis of the cylinder.
a. 25 N/C
b. 20 N/C
c. 14 N/C
d. 31 N/C
e. 34 N/C
[Ques. 6] Charge of uniform density (0.30 nC/m2) is distributed over the xy plane, and charge of uniform density (0.40 nC/m2) is distributed over the yz plane. What is the magnitude of the resulting electric field at any point not in either of the two charged planes?
a. 40 N/C
b. 34 N/C
c. 28 N/C
d. 46 N/C
e. 6.0 N/C
[Ques. 7] Charge of a uniform density (8.0 nC/m2) is distributed over the entire xy plane. A charge of uniform density (5.0 nC/m2) is distributed over the parallel plane defined by z = 2.0 m. Determine the magnitude of the electric field for any point with z = 1.0 m.
a. 0.45 kN/C
b. 0.17 kN/C
c. 0.28 kN/C
d. 0.73 kN/C
e. 0.62 kN/C
[Ques. 8] Charge of a uniform density (8.0 nC/m2) is distributed over the entire xy plane. A charge of uniform density (3.0 nC/m2) is distributed over the parallel plane defined by z = 2.0 m. Determine the magnitude of the electric field for any point with z = 3.0 m.
a. 0.79 kN/C
b. 0.17 kN/C
c. 0.62 kN/C
d. 0.34 kN/C
e. 0.28 kN/C
[Ques. 9] Two infinite, uniformly charged, flat surfaces are mutually perpendicular. One of the sheets has a charge density of +60 pC/m2, and the other carries a charge density of 80 pC/m2 . What is the magnitude of the electric field at any point not on either surface?
a. 1.1 N/C
b. 5.6 N/C
c. 7.9 N/C
d. 3.8 N/C
e. 4.0 N/C
[Ques. 10] Two infinite parallel surfaces carry uniform charge densities of 0.20 nC/m2 and 0.60 nC/m2 . What is the magnitude of the electric field at a point between the two surfaces?
a. 34 N/C
b. 23 N/C
c. 45 N/C
d. 17 N/C
e. 90 N/C
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