Question

Derive an expression for the energy seated in a capacitor. In what form is the energy stored in a charged capacitor?

Answer 1

REF.Image

element of energy stored

$dU=Vdq$

$=\frac{q}{C}dq$

$U={\int }_0^Q\frac{q}{c}dq=\frac{1}{2}\frac{Q^2}{c}$

$U=\frac{1}{2}\frac{Q^2}{c}=\frac{1}{2}QV=\frac{1}{2}C{V}^2$

In capacitor, energy stored in form of ELECTROSTATIC energy. This energy asises from the charge that is stored in capacitor.