The capacities and connection of five capacitors are shown in the adjoining figure. The potential difference between the points `A` and `B` is `60` volts. Then the equivalent capacity between `A` and `B` and the charge on `5 muF` capacitance will be respectively

Options

A. `44 muF, 300 muC`
B. `16 muF, 150 muC`
C. `15 muF, 200 muC`
D. `4 muF, 50 muC`

Answer

D

Explanation

The given circuit can be redrawn as follows

Equivalent capacitance of the circuit `C_(AB) = 4 muF`
Charge given by the battery
`Q = C_(eq) V = 4 xx 60 = 240 muC`
Charge in `5 muF` capacitor
`Q' = (5)/((10 + 5 + 9)) xx 240 = 50 muC`