An capacitor consists of two large parallel plates of area A separated by a very small distance d. This capacitor is connected to a battery and charged until its plates carry charges +Q and -Q, and
Then disconnected from the battery. If the separation between the plates is now doubled, the
Potential difference between the plates will
A) double.
B) quadruple.
C) be cut in fourth.
D) not change.
E) be cut in half.

Question

Quizplus · Accepted Answer

The potential difference (V) between the plates of a capacitor is directly proportional to the separation (d) between the plates when the charge (Q) on the plates and the permittivity of the medium between the plates remain constant. Mathematically, V = Qd/(ε₀A), where ε₀ is the permittivity of free space and A is the area of the plates. Doubling the separation (d) while keeping Q and A constant will double the potential difference (V).

An Capacitor Consists of Two Large Parallel Plates of Area