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MHT CET20249 May 2024Evening ShiftPhysicsCapacitanceActual

The potential difference that must be applied across the series and parallel combination of 4 identical capacitors is such that the energy stored in them becomes the same. The ratio of potential difference in series to parallel combination is

Options

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

Correct answer

C. 4: 1

Step-by-step solution

The equivalent capacitance for series combination, C₁= C 4 ...(i) Potential energy, U ₁= 1 2 C ₁ ~V ₁^2 ...(ii) The equivalent capacitance for parallel combination, C₂=4 C...(iii) Potential energy, U₂= 1 2 C₂ V₂^2 ...(iv) Given that, U ₁= U ₂ array ll & C ₁ ~V ₁^2= C ₂ ~V ₂^2 & ~V ₁ ~V ₂ = C ₂ C ₁ & ~V ₁ ~V ₂ = 4 C C 4 = 16 1 & ~V ₁ ~V ₂ = 4 1 array ...(From(ii) and (iv)) ...(From (i) and (iii))

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