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:
where C is the capacitance and V is the voltage.
If the voltage is doubled, then the energy stored is: