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(C) When two conducting spherical shells are connected by a conductor,they reach the same potential. Since the inner shell is connected to the outer s

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$4\pi \varepsilon _0 b$

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(C) When two conducting spherical shells are connected by a conductor,they reach the same potential. Since the inner shell is connected to the outer shell,the entire charge given to the system resides on the outer surface of the outer shell. Thus,the system behaves like a single isolated spherical conductor of radius $b$. The capacitance of an isolated spherical conductor of radius $R$ is given by $C = 4 \pi \varepsilon_0 R$. Therefore,for the given system,the capacitance is $C = 4 \pi \varepsilon_0 b$.

The conducting spherical shells shown in the figure are connected by a conductor. The capacitance of the system is

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