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NEET2008PhysicsCapacitanceActual

A capacitor having capacitance 1 F with air, is filled with two dielectrics as shown. How many times capacitance will increase?

Options

  1. A12
  2. B6
  3. C8 / 3
  4. D3

Correct answer

B. 6

Step-by-step solution

Key Idea : After filling with dielectrics the two capacitors will be in parallel order. As shown, the two capacitors are connected in parallel. Initially the capacitance of capacitor C= ₀ A d where A is area of each plate and d is the separation between the plates. After filling with dielectrics, we have two capacitors of capacitance. C₁= K₁ ₀(A / 2) d = 8 2 ₀ A d = 4 ₀ A d =4 C and C₂= K₂ ₀(A / 2) d = 4 2 ₀ A d = 2 ₀ A d =2 C Hence, their equivalent capacitance aligned C_ eq & =C₁+C₂ & =4 C+2 C=6 C aligned ie, new

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