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Q.

Figure shows two concentric, conducting shells of radii r and 2r. The outer shell is given a charge Q. The amount of charge that will flow from inner shell to earth when it is grounded is :

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a

$- \frac{Q}{2}$

b

+ 2Q

c

$+ \frac{Q}{2}$

d

–2Q

answer is B.

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Detailed Solution

$V_{net} = 0 = \frac{1}{4 {πε}_{0}} \frac{Q}{2 r} + \frac{1}{4 {πε}_{0}} \frac{Q^{'}}{r}; Q^{'} = - \frac{Q}{2}$
Charge on inner one, charge that flows to earth is Q/2

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Figure shows two concentric, conducting shells of radii r and 2r. The outer shell is given a charge Q. The amount of charge that will flow from inner shell to earth when it is grounded is :