• # question_answer The work done in increasing the voltage across the plates of a capacitor from 5V to 10 V is W. The work done in increasing the voltage from 10 V to 15V will be A)  $W$ B)  $\frac{4W}{3}$ C)  $\frac{5W}{3}$ D) $2W$

Work done $W=\frac{1}{2}CV$ $\Rightarrow$ $W=\frac{1}{2}C({{V}_{2}}-{{V}_{1}})$ $\Rightarrow$ $W=\frac{1}{2}C(10-5)=\frac{5}{2}C$         ...(i) Also,   $W=\frac{1}{2}C(5-10)$ $\Rightarrow$ $W=\frac{5}{2}C$                        ...(ii) From Eqs. (i) and (ii), we get $W=W$