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MHT CET202310 May 2023Morning ShiftPhysicsCapacitanceActual

The mean electrical energy density between plates of a charged air capacitor is (where q = charge on capacitor, A = Area of capacitor plate)

Options

  1. Aq ^2 2 ₀ ~A ^2
  2. Bq 2 ₀ ~A ^2
  3. Cq ^2 2 ₀ ~A
  4. D₀ A q^2

Correct answer

A. q ^2 2 ₀ ~A ^2

Step-by-step solution

For a parallel plate capacitor, the energy density = 1 2 E^2 ₀ But E = ₀ aligned Energy density & = 1 2 ^2 ₀^2 ₀ & = ^2 2 ₀ & = ( q A )^2 2 ₀ ( =q / A) & = q^2 2 A^2 ₀ aligned

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