A capacitor having capacitance ‘C’ is charged by a battery having e.m.f. 2V (Battery is disconnected after charging) . Now this charged capacitor is connected to another battery having e.m.f. V. The p

Question

A capacitor having capacitance ‘C’ is charged by a battery having e.m.f. 2V (Battery is disconnected after charging) . Now this charged capacitor is connected to another battery having e.m.f. V. The positive plate of capacitor is connected with –ve terminal of battery & vice-versa. The amount of heat produced after

connecting it with battery.

TestHub · Accepted Answer

Take capacitor voltage as positive on its initially positive plate.

$V_{i} = 2 V, V_{f} = - V$

The battery transfers charge of magnitude 3CV through its emf.

$W_{battery} = 3 C V^{2}$

$U_{i} = 2 C V^{2}, U_{f} = \frac{1}{2} C V^{2}$

$H = U_{i} + W_{battery} - U_{f} = \frac{9}{2} C V^{2}$

Answer A.

Physics - Capacitor Question with Solution | TestHub

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