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COMEDK2016PhysicsCapacitance

Three identical capacitors are first connected in series and then in parallel. The ratio of effective capacitances in the two cases is

Options

  1. A9: 1
  2. B3: 1
  3. C1: 3
  4. D1: 9

Correct answer

D. 1: 9

Step-by-step solution

The equivalent capacitance of three capacitors connected in series is given by 1 C_ s = 1 C₁ + 1 C₂ + 1 C₃ Given, C₁=C₂=C₃=C 1 C_ s = 3 C or C_ s = C 3 Similarly, for parallel combination, C_ p =C+C+C=3 C Ratio of equivalent capacitance, C_ s C_ p = C / 3 3 C = 1 9 or 1: 9

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