APFIVE Surface Charge Density on a Conducting Shell
A hollow conducting shell with inner radius $$a$$ and outer radius $$b$$ carries a net charge $$-Q$$. A point charge $$+q$$ is placed at the center of the shell. What is the surface charge density $$\sigma$$ on the outer surface of the shell?
A
$$\sigma = \frac{-Q}{4\pi b^2}$$
B
$$\sigma = \frac{-Q+q}{4\pi b^2}$$
C
$$\sigma = \frac{-(Q+q)}{4\pi b^2}$$
D
$$\sigma = \frac{-Q}{4\pi (b^2 - a^2)}$$
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