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  4. Figure shows three concentric thin spherical shells A, B and C of radii a, b and c respectively. The shells A and C are given charge q and -q respectively and the shell B is earthed. The charge appearing on the outer surface of C is

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Q. Figure shows three concentric thin spherical shells A, B and C of radii a, b and c respectively. The shells A and C are given charge q and -q respectively and the shell B is earthed. The charge appearing on the outer surface of C isPhysics Question Image

Solution:

Potential of sphere B is zero.
image
$K\left[\frac{q}{b}-\frac{q}{b}+\frac{q'}{b}-\frac{q'}{c}+\frac{q'-q}{c}\right]=0$
$q' = +\frac{b}{c}q$ Charge on outer surface (q′ − q) = −q $- q ( 1 - \frac {b}{c}) $