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When a capacitor C is connected to a battery, what is the expression for the energy stored in it?

1. The stored energy is given by \( \frac{1}{2} CV^2 \).
2. The stored energy is expressed as \( \frac{1}{2} Q \frac{Q}{C} \).
3. The energy stored equals \( \frac{1}{2} CV^2 \).
4. The energy stored is \( \frac{1}{2} Q \frac{Q}{C} \).

Correct answer: The stored energy is given by \( \frac{1}{2} CV^2 \).

Solution

The energy stored in a capacitor is given by the formula \( U = \frac{1}{2} CV^2 \), where \( C \) is the capacitance and \( V \) is the voltage across the capacitor. This matches option A.

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