First slide

Capacitance

Question

The electrostatic force between the metal plates of an isolated parallel plate capacitor C having a charge Q and area A, is

Easy

A

Independent of the distance between the plates
B

Linearly proportional to the distance between the plates
C

Proportional to the square root of the distance between the plates
D

Inversely proportional to the distance between the plates

Solution

For isolated capacitor, charge Q = constant.
$∴ Electrostatic force, F_{plate} = \frac{Q^{2}}{2 A ε_{0}}$
F is independent of the distance between plates.

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