Question

The capacitors of capacitance $4\,\mu F$ and $6\,\mu F$ are connected in series. A potential difference of $500\, volt$ is applied to the outer plates of capacitor system. Then the charge on each capacitor is equal to

• A. 600 coulomb
• B. 1200 coulomb
• C. 1200 micro coulomb
• D. 600 micro coulomb.

Answer 1

Answer: (C)

1200 micro coulomb

Answer 2

Total capacitance, $C_s = \frac{4 \times 6}{4 + 6} \, \mu$F = 2.4 $\mu$F Charge $q = VC_s = 500 \times 2.4 \times 10^6$ = 1200 $\mu$C