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The formula for the energy stored in a capacitor is represented as which of the following?

1. The energy stored in a capacitor is expressed as \( \frac{1}{2} CV^2 = \frac{1}{2} Q \frac{Q}{C} \)
2. The energy stored in a capacitor is expressed as \( \frac{1}{2} Q \frac{Q}{C} \)
3. The energy stored in a capacitor is expressed as \( \frac{1}{2} CV^2 \)
4. The energy stored in a capacitor is expressed as \( \frac{1}{2} Q \frac{Q}{C} \)

Correct answer: The energy stored in a capacitor is expressed as \( \frac{1}{2} CV^2 = \frac{1}{2} Q \frac{Q}{C} \)

Solution

The energy stored in a capacitor can be expressed in multiple equivalent forms: \( \frac{1}{2} CV^2 \), \( \frac{1}{2} QV \), or \( \frac{1}{2} Q \frac{Q}{C} \). Option A correctly states the equivalence of \( \frac{1}{2} CV^2 \) and \( \frac{1}{2} Q \frac{Q}{C} \).

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