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: ∮ E ∙ dA = q/ε0. 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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