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

Name: If the potential difference across the plates of a capacitor is doubled,what happens to the energy stored?
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Quizplus · Accepted Answer

The energy stored in a capacitor is given by the formula $ E = \frac{1}{2} C V^2 $. If the potential difference $ V $ is doubled, the energy becomes $ \frac{1}{2} C (2V)^2 = 2^2 \times \frac{1}{2} C V^2 = 4 \times \frac{1}{2} C V^2 $, which means the energy quadruples.

If the Potential Difference Across the Plates of a Capacitor