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Electric Field Due to a Sphere and Thin Shell

Two concentri...

Question

Two concentric conducting shells with radii r and R (r < R) have charges q and Q respectively. Determine the electrostatic potential difference between them.

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Solution

$V_{A} = \frac{k q}{r} + \frac{k Q}{R}$
and $V_{B} = \frac{k q}{R} + \frac{k Q}{R}$
So, $V_{B} - V_{A} = \frac{k q}{R} - \frac{k q}{r} = k q (\frac{1}{R} - \frac{1}{r})$

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