An ideal parallel-plate capacitor consists of two parallel plates of area A separated by a distance d.This capacitor is connected to a battery that maintains a constant potential difference across the plates.If the separation between the plates is now doubled,the amount of electrical energy stored on the capacitor will

Question

Quizplus · Accepted Answer

The amount of electrical energy stored in a capacitor is directly proportional to the capacitance (C) of the capacitor and the square of the potential difference (V) across the plates, but inversely proportional to the distance (d) between the plates. Mathematically, 
E = (1/2)CV^2 
When the separation between the plates is doubled, the capacitance is decreased by a factor of two, since C is inversely proportional to d. Therefore, the amount of electrical energy stored on the capacitor will be halved.

An Ideal Parallel-Plate Capacitor Consists of Two Parallel Plates of Area