Question

If a capacitor is charged by connecting it to a battery, then the ratio of work done by the battery and the energy stored in the capacitor is

• A. \(3:2\)
• B. \(1:2\)
• C. \(1:1\)
• D. \(2:1\)

Hint:

While charging a capacitor, \[ \boxed{ W_{\text{battery}}=CV^2, \qquad U=\frac12CV^2. } \] Half of the work done by the battery is stored in the capacitor and the remaining half is dissipated as heat.

Answer 1

The Correct Option is D