A capacitor of capacitance C is connected in series with a resistance R and D C source of emf E through a key. The capacitor starts charging when the key is closed. By the time the capacitor has been

Question

A capacitor of capacitance C is connected in series with a resistance R and D C source of emf E through a key. The capacitor starts charging when the key is closed. By the time the capacitor has been fully charged. what amount of energy is dissipated in the resistance R ?

TestHub · Accepted Answer

We know that, energy stored in the capacitor = 2 1 ​ C E 2 and energy supplied by the source of emf = C E 2 ∴ Energy dissipated in resistance R = Energy supplied by the source of emf E - Energy stored in the capacitor = C E 2 − 2 1 ​ C E 2 = ( 1 − 2 1 ​ ) C E 2 = 2 1 ​ C E 2 ​

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