1.

Find the current as a function of time in case of (a) charging and (b) discharging of a capacitor in a simple RC circuit

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Solution :During charging,`q = q_(0 )(1 - E^ (-t//CR)`
`i=(dq)/(dt)=-q_(0)((-1)/(CR))e^(-I//CR)=q_(0)/(CR)e^((t)/(CR)`
where `q-(o) = CV_(O). V_(0)` being the EMF of the cell
(b) During discharging. `q = q_(o) e^(t// CR)`
`i=(dq)/(dt)=-(q_(0))/(CR)e^(-t//CR)`
. where `q_(o)`=the initial charge on the CAPACITOR:


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