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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 \( -q \).
\( \mathrm{P} \)
W
Suppose, a dielectric medium of dielectric constant \( K \) is filled between \( A \) and \( \dot{B} \). Then, potential difference between \( A \) and \( C \) is
(a) \( \frac{q}{4 \pi \varepsilon_{0} \cdot K a b c}[c(b-a)+K a(c-b)] \)
(b) \( \frac{q}{4 \pi \varepsilon_{0} K a b c}[K c(b-a)+a(c-b)] \)
(c) \( \frac{q}{4 \pi \varepsilon_{0} a b c} K[c(b-a)+a(c-b)] \)
(d) \( \frac{q}{4 \pi \varepsilon_{0} K}(a b c)[(a-b)+(b-c)] \)
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