Question

Derive an expression for the energy stored in a parallel plate capacitor , charged to a potential difference v.

Answer 1

SOLUTION

When a capacitor is charged by a battery, work is done by the charging battery at the expense of its chemical energy. This work is stored in the capacitor in the form of electrostatic potential energy.

Consider a capacitor of capacitance C. Intial charge on capacitor is zero. Initial potential difference between capacitor plates, the potential difference between its small steps. When charge is given to capacitor, the potential