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BITSAT2009PhysicsCapacitanceActual

Calculate the area of the plates of a one farad parallel plate capacitor if separation between plates is 1 ~mm and plates are in vacuum

Options

  1. A18 10⁸ ~m ²
  2. B0.3 10⁸ ~m ²
  3. C1.3 10⁸ ~m ²
  4. D1.13 10⁸ ~m ²

Correct answer

D. 1.13 10⁸ ~m ²

Step-by-step solution

For a parallel plate capacitor C = ₀ ~A ~d aligned & A = Cd ₀ = 1 10⁻³ 8.85 10⁻¹² &=1.13 10⁸ ~m ² aligned This corresponds to area of square of side 10.6 ~km which shows that one farad is very large unit of capacitance.

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