Answer :

Concepts/Formulas used:


Charging a capacitor:


A capacitor of capacitance C is being charged using a battery 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 charge is at any t>0 is given by:



Note that is known as time constant.


Given,


Capacitance,


EMF of battery,


Resistance,


We also know that at ,


We know that,





Taking natural logarithm on both sides, we get







Now,







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