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MHT CET202012 Oct 2020Morning ShiftPhysicsCapacitanceActual

The potential differences that must be applied across the parallel and series combination of 3 identical capacitors is such that the energy stored in them becomes the same. The ratio of potential difference in parallel to series combination is

Options

  1. A1 4
  2. B1 6
  3. C1 3
  4. D1 8

Correct answer

C. 1 3

Step-by-step solution

Let C be the capacity of each capacitor. The equivalent capacitance of three capacitors in parallel combination will be C_ p =3 C and in series combination C_ S = C 3 Let V_ p be the potential difference in parallel combination and V_ S in series combination then the energy stored in the same in the two cases. array l 1 2 C_ p V_ p ²= 1 2 C_ s V_ s ² V_ p ² V_ s ² = C_ s C_ p = C 3 1 3 C = 1 9 V_ p V_ s = 1 3 array

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