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JEE Main202624 January 2026Evening ShiftPhysicsCapacitanceActual

Three parallel plate capacitors each with area A and separation d are filled with two dielectric ( k₁ and k₂ ) in the following fashion. Which of the following is true? (k₁>k₂ )

Options

  1. AC_ C >C_ A >C_ B
  2. BC_ C >C_ B >C_ A
  3. CC_ A >C_ C >C_ B
  4. DC_ B >C_ C >C_ A

Correct answer

C. C_ A >C_ C >C_ B

Step-by-step solution

For C_A Let ₀ A d = C C_A = K₁ C 2 + K₁ K₂ C K₁ + K₂ = K₁ C [ K₁ + 2K₂ 2(K₁ + K₂) ] For C_B C_B = K₂ C 2 + K₁ K₂ C K₁ + K₂ = K₂ C [ K₁ + 2K₂ 2(K₁ + K₂) ] For C_C C_C = 2K₁ K₂ C K₁ + K₂ C_A > C_C > C_B

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