Question

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

• 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.

Answer 1

The correct option is A independent of the distance between the plates

$F=QEF=Q\frac{\sigma }{2{\epsilon }_0}=\frac{Q^2}{2A{\epsilon }_0}$
$\therefore$ Electrostatic force is independent of distance between plates