A charge of 8.0 pC is distributed uniformly on a spherical surface (radius = 2.0 cm), and a second charge of 3.0 pC is distributed uniformly on a concentric spherical surface (radius = 4.0 cm). Determine the magnitude of the electric field 5.0 cm from the center of the two surfaces.
a. 14 N/C
b. 11 N/C
c. 22 N/C
d. 18 N/C
e. 40 N/C
[Ques. 2] A charge of 5.0 pC is distributed uniformly on a spherical surface (radius = 2.0 cm), and a second charge of 2.0 pC is distributed uniformly on a concentric spherical surface (radius = 4.0 cm). Determine the magnitude of the electric field 3.0 cm from the center of the two surfaces.
a. 30 N/C
b. 50 N/C
c. 40 N/C
d. 20 N/C
e. 70 N/C
[Ques. 3] A 5.0-nC point charge is embedded at the center of a nonconducting sphere (radius = 2.0 cm) which has a charge of 8.0 nC distributed uniformly throughout its volume. What is the magnitude of the electric field at a point that is 1.0 cm from the center of the sphere?
a. 1.8 105 N/C
b. 9.0 104 N/C
c. 3.6 105 N/C
d. 2.7 105 N/C
e. 7.2 105 N/C
[Ques. 4] A solid nonconducting sphere (radius = 12 cm) has a charge of uniform density (30 nC/m3) distributed throughout its volume. Determine the magnitude of the electric field 15 cm from the center of the sphere.
a. 22 N/C
b. 49 N/C
c. 31 N/C
d. 87 N/C
e. 26 N/C
[Ques. 5] Charge of uniform density (40 pC/m2) is distributed on a spherical surface (radius = 1.0 cm), and a second concentric spherical surface (radius = 3.0 cm) carries a uniform charge density of 60 pC/m2 . What is the magnitude of the electric field at a point 4.0 cm from the center of the two surfaces?
a. 3.8 N/C
b. 4.1 N/C
c. 3.5 N/C
d. 3.2 N/C
e. 0.28 N/C
[Ques. 6] Charge of uniform density (20 nC/m2) is distributed over a cylindrical surface (radius = 1.0 cm), and a second coaxial surface (radius = 3.0 cm) carries a uniform charge density of 12 nC/m2 . Determine the magnitude of the electric field at a point 4.0 cm from the symmetry axis of the two surfaces.
a. 0.45 kN/C
b. 1.0 kN/C
c. 0.73 kN/C
d. 0.56 kN/C
e. 2.3 kN/C
[Ques. 7] Charge of uniform density (20 nC/m2) is distributed over a cylindrical surface (radius = 1.0 cm), and a second coaxial surface (radius = 3.0 cm) carries a uniform charge density of 12 nC/m2 . Determine the magnitude of the electric field at a point 2.0 cm from the symmetry axis of the two surfaces.
a. 2.3 kN/C
b. 1.1 kN/C
c. 1.7 kN/C
d. 3.4 kN/C
e. 4.5 kN/C
[Ques. 8] Charge of uniform density (80 nC/m3) is distributed throughout a hollow cylindrical region formed by two coaxial cylindrical surfaces of radii 1.0 mm and 3.0 mm. Determine the magnitude of the electric field at a point which is 4.0 mm from the symmetry axis.
a. 7.9 N/C
b. 10 N/C
c. 9.0 N/C
d. 8.9 N/C
e. 17 N/C
[Ques. 9] Charge of uniform density (80 nC/m3) is distributed throughout a hollow cylindrical region formed by two coaxial cylindrical surfaces of radii 1.0 mm and 3.0 mm. Determine the magnitude of the electric field at a point which is 2.0 mm from the symmetry axis.
a. 7.9 N/C
b. 9.0 N/C
c. 5.9 N/C
d. 6.8 N/C
e. 18 N/C
[Ques. 10] Charge of uniform linear density (4.0 nC/m) is distributed along the entire x axis. Determine the magnitude of the electric field on the y axis at y = 2.5 m.
a. 36 N/C
b. 29 N/C
c. 43 N/C
d. 50 N/C
e. 58 N/C
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