The charge flowing through the cell on cloing the key `k` is equal to :

Options

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

Answer

A

Explanation

When switch is open, the charge given to equivalent capacitor.
`q_(i) = ((3C xx C)/(3C + C)).V = (3)/(4)CV`
When switch is closed, `q_(f) = CV`
`Deltaq = q_(f) - q_(i) = CV - (3)/(4)CV = (1)/(4)CV`
Hence charge passed through switch will be `(1)/(4)CV`.