Two condensers, one of capacity `C` and the other of capacity `C//2` are connected to a `V` volt battery, as shown.

The work done in charging fully both the condensers is

Options

A. `2CV^(2)`
B. `(3)/(4)cV^(2)`
C. `(1)/(2)cV^(2)`
D. `(1)/(4)CV^(2)`

Answer

B

Explanation

The two capcitors are in parallel .
The equivalent capacitance `C'=C+C/2=(3C)/(2)`
Work done in charging the equivalent capacitor is stroed in the form of potential energy.
`W=u=(1)/(2)C'V^(2)=1/2xx(3c)/(2)xxV^(2)=(3)/(4)CV^(2)`