Answer :

Concepts/Formula used:


Current when capacitor is charging:


A capacitor of capacitance C is being charged using a batteru of emf ϵ through a resistance R . A switch S is also connected in series with the capacitor. The switch is initially open. The capacitor is uncharged at first. At t=0, the switch is closed. The current through the circuit at anytime t>0 is given by:



Where I0 is the initial current.


Note that is known as time constant


Power supplied by the battery:


If a battery of emf ϵ gives a current I, then the power supplied by the battery is given by:



Now, at anytime t > 0,




Now, power is maximum when the current is maximum i.e. when t = 0




We wish to find time t such that









The time in 0.69 times the time constant.


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