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

Answer

D

Explanation

`1/(C_(eq))=1/8+1/12+1/24`
`= (3+2+1)/24 implies C_(eq)= 4muF`

Total charge (Q) = `C_(eq) V`
`= 4 xx60 muC = 240 muC`
Charge in `5muF` capacitor-
`Q_5 =(5/(5+10+9)) xx240 = 540 muC`