Two condenser one of capacity C and other of capacity C/2 are connected to 9 V battery, as shown in figure. The work done in the charging fully both condensers is

Options

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

Answer

C

Explanation

Two two condensers are connected in parallel, we have
`C_(p)=C+(C)/(2)=(3C)/(2)`
`therefore` Total work done in charging both the condensers
`W=(1)/(2)C_(p)V^(2)=(1)/(2)xx(3C)/(2)V^(2)=(3)/(4)CV^(2)`