In the circuit shown in figure, the battery is an ideal one, with \( \mathrm{emf} V \). The capa...

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In the circuit shown in figure, the battery is an ideal one, with \( \mathrm{emf} V \). The capacitor is initially uncharged. The switch \( S \) is closed at time \( t=0 \).
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(a) Find the charge \( Q \) on the capacitor at time \( t \).
(b) Find the current in \( A B \) at time \( t \). What is its limiting value as \( t \rightarrow \infty \) ?
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