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Capacitor question

2018 · Q157
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Capacitor question

2018 · Q157

NEETPhysicsCapacitorMCQ+4 / −1
The electrostatic force between the metal plates of an isolated parallel plate capacitor C having a charge Q and area A, is
  1. A
    Independent of the distance between the plates
  2. B
    Linearly proportional to the distance between the plates
  3. C
    Proportional to the square root of the distance between the plates
  4. D
    Inversely proportional to the distance between the plates
View written solutionFree

Correct answer: A

In an isolated capacitor Q is constant, so an electrostatic force between metal plates is given as:

F = QE = Q ×\times× σ2ε0{\sigma \over {2{\varepsilon _0}}}2ε0​σ​ = Q22Aε0{{{Q^2}} \over {2A{\varepsilon _0}}}2Aε0​Q2​ [∵\because∵ σ=QA\sigma = {Q \over {A}}σ=AQ​]

F is independent of the distance between plates.

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