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JEE Main202524 Jan 2025Morning ShiftPhysicsCapacitanceActual

Consider a parallel plate capacitor of area A (of each plate) and separation 'd' between the plates. If E is the electric field and ₀ is the permittivity of free space between the plates, then potential energy stored in the capacitor is

Options

  1. A₀ E ^2 Ad
  2. B1 2 ₀ E ^2 Ad
  3. C1 4 ₀ E ^2 Ad
  4. D3 4 ₀ E ^2 Ad

Correct answer

B. 1 2 ₀ E ^2 Ad

Step-by-step solution

We know energy density _ av = 1 2 ₀ E^2 So potential energy = _ a v Volume P.E. = 1 2 ₀ E^2 A d

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