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MHT CET20249 May 2024Evening ShiftPhysicsCapacitanceActual

Air capacitor has capacitance of 1 ~F . Now the space between two plates of capacitor is filled with two dielectrics as shown in figure. The capacitance of the capacitor is [ d = distance between two plates of capacitor, K ₁ and K ₂ are dielectric constants of first dielectric and second dielectric respectively]

Options

  1. A3 ~F
  2. B6 ~F
  3. C8 ~F
  4. D12 ~F

Correct answer

A. 3 ~F

Step-by-step solution

Capacitance of a parallel plate capacitor, C = ₀ ~A ~d =1 ~F ... (given) After inserting the dielectrics, C ₁= K ₁ ₀ ~A 2 ~d =4 1 2 =2 ~F ... (given, K ₁=4 ) array ll & C ₂= K ₂ ₀ ~A 2 ~d =2 1 2 =1 ~F & C _ eff = C ₁+ C ₂=3 ~F array ...(given, K ₂=4 )

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