A solid conducting sphere carrying charge Q is surrounded concentrically by an initially uncharged conducting hollow spherical shell. The potential difference between the inner sphere and the outer surface of the shell is ΔV = V. If the shell is then given total charge -4Q, what is the new potential difference ΔV?
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Question

A solid conducting sphere carrying charge Q is surrounded concentrically by an initially uncharged conducting hollow spherical shell. The potential difference between the inner sphere and the outer surface of the shell is ΔV = V. If the shell is then given total charge -4Q, what is the new potential difference ΔV?

Options

G1 Physics · Accepted Answer

Between the inner sphere and the shell, the electric field depends only on the enclosed charge Q. Giving the outer shell an additional charge changes the potential everywhere inside that shell by the same constant, so it does not change the potential difference. Hence ΔV remains V. Correct answer: A.