Three capacitor `A,B`, and `C`, are connected in a circuit as shown in. What is the charge in `muC` on the capacitor `B`?
.

Options

A. `1//3`
B. `2//3`
C. `1`
D. `4//3`

Answer

B

Explanation

Capacitors `B and C` are in parallel, then `A` is in series.
`C_(eq)=(2xx(3+4))/(2+(3+4))=(14)/9 muF`
`Q=C_(eq)V=(14)//9(7-6)=(14)/9 muC`.
`Q` will be divided between `B and C`. So charge on `B` is
`q=(3xx(14/9))/(3+4)=2/3 muC`.