Two condenser, one of capacity C and the other of capacity ` (C )/(2)`, are connected to a V volt battery, as shown in figure. The work done in charging fully both the condensers is

Options

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

Answer

A

Explanation

Work done in fully charging each condenser
=enegy stored in the condenser
`E=(1)/(2)CV^(2)`
For parallel combination,
`E=E_(1)+E_(2)=(1)/(2)CV^(2)+(1)/(2)((C)/(2))V^(2)`
`therefore E=(3)/(4)CV^(2)`