NEET 2021 · PhysicsStored energyPrevious Year Question

A parallel plate capacitor has a uniform electric field 'E' in the space between the plates. If the distance between the plates is 'd' and the area of each plate is 'A' the energy stored in the capacitor is: (ε₀ = permittivity of free space)

Answer: (A) (1/2) ε₀ E² A d. Answer: (a) Solution: U = ½CV² with C = ε₀A/d and V = Ed → U = ½(ε₀A/d)(Ed)² = ½ε₀E²Ad.

  1. A.(1/2) ε₀ E² A d
  2. B.ε₀ E² A d
  3. C.(1/2) ε₀ E²
  4. D.ε₀ E A d

Correct Answer

(A) (1/2) ε₀ E² A d

Solution & Explanation

Answer: (a) Solution: U = ½CV² with C = ε₀A/d and V = Ed → U = ½(ε₀A/d)(Ed)² = ½ε₀E²Ad. (Equivalently energy density ½ε₀E² × volume Ad.) → option (a).

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