Question

Energy stored in the capacitor is:

• A. \( \frac{1}{2} CI^3 \)
• B. \( \frac{1}{2} CV^3 \)
• C. \( \frac{1}{2} CV^2 \)
• D. \( \frac{1}{2} CI^2 \)

Hint:

For capacitors, the energy stored depends on the square of the voltage across the plates. Remember, \( E = \frac{1}{2} C V^2 \) when working with energy storage calculations.

Answer 1

The Correct Option is C

The energy stored in a capacitor is given by the formula: \[ E = \frac{1}{2} C V^2 \] where \( E \) is the energy stored, \( C \) is the capacitance, and \( V \) is the voltage across the capacitor. This formula shows that the energy stored in the capacitor is proportional to the square of the voltage and the capacitance. Therefore, the correct answer is \( \frac{1}{2} CV^2 \).