The electrostatic force between the metal plates of an isol…

Physics Electrostatics Potential & Capacitance NEET Previous Year Question MCQ (Single Correct)

The electrostatic force between the metal plates of an isolated parallel plate capacitor C having a charge Q and area A, is [NEET 2018]

proportional to the square root of the distance between the plates

linearly proportional to the distance between the plates

independent of the distance between the plates

inversely proportional to the distance between the plates

Text Solution

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The correct answer is:

As we know that, the total work done in transferring a charge to a parallel plate capacitor is given as

… (i)

… (ii)

where, F is the electrostatic force between the plates of capacitor and d is the distance between the plates.
From Eqs. (i) and (ii), we get

… (iii)

As, the capacitance of a parallel plate is given as,
Substituting the value of C in Eq. (iii), we get,

This means, electrostatic force is independent of the distance between the plates.

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