Question

Two condensers, one of capacity $C$ and the other capacity $\frac{C}{2}$ are connected to a $V$ -volt battery, as shown in the figure.

The work done in charging fully both the condensers is

• A. $\frac{1}{4} CV^2$
• B. $\frac{3}{4} CV^2$
• C. $\frac{1}{2} CV^2$
• D. $2CV^2$

Answer 1

Answer: (B)

$\frac{3}{4} CV^2$

Answer 2

Work done in charging fully both the condensers, then
$=\frac{1}{2} CV ^{2}+\frac{1}{2}\left(\frac{ C }{2}\right) V ^{2}$
$=\frac{3}{4} CV ^{2}$
Therefore, the correct option is (B) : $\frac{3}{4} CV^2$