Question

A capacitor stores charge Q at a potential difference V. If the voltage applied by a battery to the capacitor is doubled to 2V, then

• A. The capacitance falls to half its initial value and the charge remains the same
• B. The capacitance and the charge both fall to half their initial values
• C. The capacitance and the charge both double
• D. The capacitance remains the same and the charge doubles

Answer 1

The correct option is D

The capacitance remains the same and the charge doubles

The capacitance for a given system is a constant and is independent of charge as well as potential. As $C=\frac{Q}{V}$, when V doubles, Q doubles to keep C constant