Two condensers, one of capacity $C$ and other of capacity $C / 2$ are connected to a $V$-volt battery, as…
Two condensers, one of capacity $C$ and other of capacity $C / 2$ are connected to a $V$-volt battery, as shown. The work done in charging fully both the condensers is
$\frac{1}{4} C V^2$
$\frac{3}{4} C V^2$
$\frac{1}{2} C V^2$
$2 \mathrm{CV}^2$
Solution
Work done in charging fully both the condensers
$\begin{aligned}
& =\frac{1}{2} C V^2+\frac{1}{2}\left(\frac{C}{2}\right) V^2 \\
& =\frac{3}{4} C V^2
\end{aligned}$
