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NEET2018PhysicsCapacitanceActual

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

Options

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

Correct answer

C. independent of the distance between the plates.

Step-by-step solution

For isolated capacitor Q = constant. Now electric field because of one plate of the capacitor is E = σ 2 ∈ 0 = Q 2 A ∈ 0 . ∴ Force on 1 metal plate is F = Q E F = Q σ 2 ∈ 0 = Q 2 2 A ∈ 0 ∴   The electrostatic force is independent of the distance between plates.

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