First slide

Capacitance

Question

The work done in increasing the voltage across the plates of a capacitor from 5 V to 10 V is W. The work done in increasing the voltage from 10 V to 15 V will be :

Easy

A

W
B

$\frac{4 W}{3}$
C

$\frac{5 W}{3}$
D

2W

Solution

Work done $\propto$ Change in stored energy
or $W \propto ({V_{2}}^{2} - {V_{1}}^{2})$
$\frac{W_{2}}{W_{1}} = \frac{15^{2} - 10^{2}}{10^{2} - 5^{2}} = \frac{225 - 100}{100 - 25} = \frac{125}{75} = \frac{5}{3}$
$\Rightarrow W_{2} = \frac{5}{3} W$

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