Four capacitor and a battery of `emf 24 V` are connected as shown in the figure. Initially, `S` is open and the capacitors are uncharged. After `S` is closed and steady state is attained, the potential difference across the `4 mu f` capacitor is `7.5 V`. The capacitance in `mu f` of the capacitor `A` is.
.

Options

A. 5
B. 7
C. 8
D. 10

Answer

D

Explanation

P.d across the plates of
`A=24-[7.5+(7.5 xx4)/(3)]=6.5 V`
Charge on `A=(17.5 xx2)+(4xx7.5)=65 muc`
`:.` Capacitance of `A=(65)/(6.5)=10 muf`.