1. A spherical shell has an inner radius of 3.7 cm and an outer radius of 4.5 cm. If charge is distributed uniformly throughout the shell with a volume density of 6.1 × 10–4 C/m3 the total charge is:
 A. 1.0 × 10–7 C
 B. 1.3 × 10–7 C
 C. 2.0 × 10–7 C
 D. 2.3 × 10–7 C
 E. 4.0 × 10–7 C

2. Consider Gauss's law: Int(E dA) = q/e0. Which of the following is true?
 A. E must be the electric field due to the enclosed charge
 B. If q = 0 then E = 0 everywhere on the Gaussian surface
 C. If the charge inside consists of an electric dipole, then the integral is zero
 D. On the surface E is everywhere parallel to dA
 E. If a charge is placed outside the surface, then it cannot affect E on the surface

3. 10 C of charge are placed on a spherical conducting shell. A –3 C point charge is placed at the center of the cavity. The net charge in coulombs on the inner surface of the shell is:
 A. –7
 B. –3
 C. 0
 D. +3
 E. +7

4.

A solid insulating sphere of radius R contains a uniform volume distribution of positive charge. Which of the graphs below correctly gives the magnitude E of the electric field as a function of the distance r from the center of the sphere?

 A. I
 B. II
 C. III
 D. IV
 E. V

5. Charge Q is distributed uniformly throughout a spherical insulating shell. The net electric flux in N × m2/C through the outer surface of the shell is:
 A. 0
 B. Q/e0
 C. 2Q/e0
 D. Q/4e0
 E. Q/2pe0

6.

Two large parallel plates carry charge of equal magnitude, one positive and the other negative, that is distributed uniformly over their inner surfaces. Rank the points 1 through 5 according to the magnitude of the electric field at the points, least to greatest.

 A. 1, 2, 3, 4, 5
 B. 5, 4, 3, 2, 1
 C. 1, 4, and 5 tie, then 2 and 3 tie
 D. 2 and 3 tie, then 1 and 4 tie, then 5
 E. 2 and 3 tie, then 1, 4, and 5 tie

7. A conducting sphere of radius 0.01 m has a charge of 1.0 × 10–9 C deposited on it. The magnitude of the electric field in N/C just outside the surface of the sphere is:
 A. zero
 B. 450
 C. 900
 D. 4500
 E. 90,000

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