The electrostatic force between the metal plates of an isolated parallel plate capacitor C 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) inversely proportional to the distance between the plates
(d) proportional to the square root of the distance between the plates
Answer : (a) independent of the distance between the plates
\( \text{Energy} = \text{Work} \)
\( \frac{1}{2} C V^2 = F \cdot d \)
\( \frac{1}{2} \cdot \frac{C V^2}{d} = F \)
\( \frac{1}{2} \cdot \frac{\varepsilon_0 A}{d} \cdot \frac{E^2 d^2}{d} = F \)
\( F = \frac{1}{2} \varepsilon_0 A E^2 \)
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