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Surface Charge Density on a Conducting Shell

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A hollow conducting shell has an inner radius aa, an outer radius bb, and a net charge of −Q-Q. A point charge +q+q is located at the center of the shell. Determine the surface charge density, σ\sigma, on the outer surface of the shell.

A

σ=−Q+q4πb2\sigma = \frac{-Q+q}{4\pi b^2}

B

σ=−(Q+q)4πb2\sigma = \frac{-(Q+q)}{4\pi b^2}

C

σ=−Q4π(b2−a2)\sigma = \frac{-Q}{4\pi (b^2 - a^2)}

D

σ=−Q4πb2\sigma = \frac{-Q}{4\pi b^2}

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