In the arrangement shown in, When the switch S is closed, find
.
the final potential difference across the `12 muF` capacitor.

Options

A. `(40)/(3) V`
B. `(20)/(3) V `
C. `12 V`
D. `24 V`

Answer

A

Explanation

In the close loop,
`(q_(0)- Deltaq)/C_(1)-(Deltaq)/C_(2)-(Deltaq)/C_(2)=0`
.
`q_(0)/C_(1)=Deltaq[1/C_(1)+1/C_(2)+1/C_(3)]`
`Deltaq=q_(0)/(C_(1)[1/C_(1)+1/C_(2)+1/C_(3)])=(192)/([1+3+2)]=32 muC`
Potential defferece across `C_(1)= (Deltaq)/(C_(2)) = 8 V`
Potential defferece across `C_(1)=((192-32))/(12)=(160)/(12)=(40)/3V`.