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

Answer

c

Explanation

The two condensers in the circuit are in parallel order , hence `C=(C+(C ))/(2)=(3C)/(2)`.The work done in charging the equivalent capcitor is stored in the form of potential energy
Hence ,`W =U =(1)/(2)C'V^(2)=(1)/(2)(3C)/(2)V^(2)=(3)/(4)CV^(2)`