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JEE Main20254 Apr 2025Evening ShiftPhysicsCapacitanceActual

Three parallel plate capacitors C ₁, C ₂ and C ₃ each of capacitance 5 ~F are connected as shown in figure. The effective capacitance between points A and B, when the space between the parallel plates of C₁ capacitor is filled with a dielectric medium having dielectric constant of 4, is :

Options

  1. A22.5 ~F
  2. B7.5 ~F
  3. C9 ~F
  4. D30 ~F

Correct answer

C. 9 ~F

Step-by-step solution

After dielectric aligned & C ₁=4 C & C ₁=4 5=20 ~F & C ₂= C ₃=5 ~F aligned C ₁ & C ₂ are in series which is parallel to C ₃ So aligned & C_ c q = C₁ C₂ C₁+C₂ +C₃ 20 5 20+5 +5 & =4+5=9 ~F aligned Correct Option (3)

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