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KCET2026PhysicsCapacitance

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 area of each plate is ' A ', the energy stored in the capacitor is

Options

  1. A1 2 ₀ E^2
  2. B₀ E a d
  3. C1 2 ₀ E^2 A d
  4. DE^2 A d ₀

Correct answer

C. 1 2 ₀ E^2 A d

Step-by-step solution

Capacitance of a parallel plate capacitor is given by C = ₀ A d Potential difference between the plates is V = E d Energy stored in the capacitor is U = 1 2 C V^2 Substituting the values of C and V : U = 1 2 ( ₀ A d ) (E d)^2 U = 1 2 ₀ E^2 A d Answer: 1 2 ₀ E^2 A d

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