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 Options: A . &nbspThe capacitance falls to half its initial value and the charge remains the same B . &nbspThe capacitance and the charge both fall to half their initial values C . &nbspThe capacitance and the charge both double D . &nbspThe capacitance remains the same and the charge doubles

A capacitor stores charge Q at a potential difference V. If the voltage applied

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

Options:

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: Option D
:
D
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 Cconstant

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