Question

The energy stored in a capacitor \( C \) when a voltage \( V \) exists across it is:

• A. \( \dfrac{1}{2}CV^2 \)
• B. \( \dfrac{1}{2}VC^2 \)
• C. \( \dfrac{1}{2}CV \)
• D. \( \dfrac{1}{2}(CV)^2 \)

Hint:

Memorize the energy formula for capacitors: \( U = \frac{1}{2}CV^2 \). It’s a standard result used in many electrostatics problems.

Answer 1

The Correct Option is A

The energy stored in a capacitor is derived from the work done in charging it and is given by: \[ U = \dfrac{1}{2} C V^2 \] This formula comes from integrating the work done to move charge \(dq\) against the voltage \(V = \frac{q}{C}\).