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KCET2020PhysicsCapacitance

The difference between equivalent capacitances of two identical capacitors connected in parallel to that in series is 6 F . The value of capacitance of each capacitor is

Options

  1. A2 F
  2. B3 F
  3. C4 F
  4. D6 F

Correct answer

C. 4 F

Step-by-step solution

Given, C₁=C₂=C (identical capacitors) When both capacitors are connected in parallel, then equivalent capacitance aligned &C_ p =C₁+C₂=C+C &C_ p =2 C ...(i) aligned When both capacitors are connected in series, then equivalent capacitance, aligned 1 C_ s &= 1 C₁ + 1 C₂ = 1 C + 1 C 1 C_ s &= 2 C C_ s = C 2 aligned According to question, C_ p -C_ s =6 F 2 C- C 2 =6 F 3 C 2 =6 F C=4 F

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