# If the potential difference across a capacitor is doubled, what happens to the energy stored?

The energy stored in a capacitor is proportional to the square of the potential difference across the capacitor plates. Therefore, if the potential difference is doubled, the energy stored is increased by a factor of four.

## Other related questions:

### Q: What will happens with the capacitance when potential difference is doubled?

A: The capacitance will double.

### Q: How does the energy in a capacitor change if the potential difference is doubled as the capacitor remains connected to a battery?

A: The energy in a capacitor will double if the potential difference is doubled while the capacitor remains connected to a battery.

### Q: What happens to stored energy when capacitance increases?

A: The stored energy in a capacitor increases when the capacitance increases.

### Q: When the charge in a capacitor is doubled the energy stored?

A: The energy stored in a capacitor is given by:

E= 1/2CV^2

where C is the capacitance and V is the voltage.

If the voltage is doubled, then the energy stored is:

E= 1/2CV^2

E= 1/2C(2V)^2

E= 2CV^2