JEE · NEET Previous Year Question

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

Topic: NEET PYQ

Answer: C. Full step-by-step solution below.

  1. Aproportional to the square root of the distance between the plates
  2. Blinearly proportional to the distance between the plates
  3. Cindependent of the distance between the plates
  4. Dinversely proportional to the distance between the plates

Correct answer: C

Solution

(c) 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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