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JEE Main202124 Feb 2021Morning ShiftPhysicsCapacitanceActual

Two equal capacitors are first connected in series and then in parallel. The ratio of the equivalent capacities in the two cases will be:

Options

  1. A1 : 2
  2. B1 : 4
  3. C4 : 1
  4. D2 : 1

Correct answer

B. 1 : 4

Step-by-step solution

For series combination, 1 C e q 1 = 1 C + 1 C ⇒ C e q 1 = C 2 For parallel combination, C e q 2 = C + C ⇒ C e q 2 = 2 C ⇒ C e q 1 C e q 2 = C / 2 2 C = 1 4 = 1 : 4

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