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JEE Main20208 Jan 2020Evening ShiftPhysicsCapacitanceActual

A capacitor is made of two square plates each of side ‘ a ’ making a very small angle α between them, as shown in figure. The capacitance will be close to:

Options

  1. A∈ 0 a 2 d 1 - α a 2 d
  2. B∈ 0 a 2 d 1 - α a 4 d
  3. C∈ 0 a 2 d 1 + α a d
  4. D∈ 0 a 2 d 1 - 3 α a 2 d

Correct answer

A. ∈ 0 a 2 d 1 - α a 2 d

Step-by-step solution

d c = ∈ 0 a d x d + α x ⇒ c = ∈ 0 a α I n d + α x 0 a = ∈ 0 a α I n 1 + α a d ≈ ∈ 0 a 2 d 1 - α a 2 b

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