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JEE Main2008PhysicsCapacitanceActual

A parallel plate capacitor with air between the plates has a capacitance of 9 pF . The separation between its plates is ' d '. The space between the plates is now filled with two dielectrics. One of the dielectrics has dielectric constant k₁=3 and thickness d 3 while the other one has dielectric constant k ₂=6 and thickness 2 ~d 3 . Capacitance of the capacitor is now

Options

  1. A1.8 pF
  2. B45 pF
  3. C40.5 pF
  4. D20.25 pF

Correct answer

C. 40.5 pF

Step-by-step solution

aligned & C^ = A ₀ d₁ 3 + d₂ 6 = A ₀ d 9 + 2 d 18 = 18 A ₀ 4 d & C^ =40.5 PF aligned

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