Three conducting shells \( A, B \) and \( C \) of radii \( a, b \) ...

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Three conducting shells \( A, B \) and \( C \) of radii \( a, b \) and \( c \) are as shown. This assembly can be asked as a capacitor by earthing any of the shells \( A, B \) or \( C \). Suppose, a source of emf is connected between shells \( A \) and \( C \) so that shell \( A \) acquires a charge \( q \) and shell \( C \) has a charge \( -q \).
\( \mathrm{P} \)
Capacity of the system is
(a) \( 4 \pi \varepsilon_{0} a \)
(b) \( 4 \pi \varepsilon_{0} b \)
(c) \( 4 \pi \varepsilon_{0}\left(\frac{a c}{c-a}\right) \)
(d) \( \frac{4 \pi \varepsilon_{0} a c}{(a-c)} \)
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