Question

Two identical capacitors are connected in series with a source of potential V. If Q is the charge on one of the capacitors, the capacitance of each capacitor is:

• A. Q/2V
• B. 2Q/V
• C. Q/V
• D. None of these

Answer 1

The correct option is B 2Q/V

In series connection charge on each capacitor would be constant also equivalent capacitance in series $c^{\prime }=\frac{C}{2}$ [ following $\frac{1}{c^{\prime }}=\frac{1}{c_1}+\frac{1}{c_2}$] and voltage $V$ is applied across it so,from capacitive law,$Q=c^{\prime }v\Rightarrow Q=\frac{CV}{2}\Rightarrow C=\frac{2Q}{V}$