# Physics Assignment Help With Discharging of a capacitor

## 11.11.2 Discharging of a capacitor

The figure shows a capacitor *C* with an initial charge *Q*0 connected in series with a resistor. When the switch is closed the capacitors starts discharging. If *i* be the instantaneous current and *q* be the instantaneous charge on the capacitor then, using Kirchoff's voltage law or On integrating, we have ln|q| =

At t = 0, q = Qo Þ K = ln|Qo|

And, the instantaneous current through the capacitor is

i =

The current magnitude at t = 0 is and the direction of *I* is opposite is that shown

in figure.

The discharging of a capacitor may be summarised as

q = Qoe-t/t

i = Ioe-t/t.

v = Voe-t/t.

where t = RC is the time constant, *Q*0 *I*0 and *V*0 are the initial charge, current and potential difference across the capacitor.

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