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MHT CET20239 May 2023Evening ShiftPhysicsCapacitanceActual

A parallel combination of two capacitors of capacities ' 2 C ' and ' C ' is connected across 5 ~V battery. When they are fully charged, the charges and energies stored in them be ' Q ₁ ', ' Q ₂ ' and ' E ₁ ', ' E ₂ ' respectively. Then E ₁- E ₂ Q ₁- Q ₂ in J / C is (capacity is in Farad, charge in Coulomb and energy in J )

Options

  1. A5 4
  2. B4 5
  3. C5 2
  4. D2 5

Correct answer

C. 5 2

Step-by-step solution

We know, Q = C . V Q ₁=10 C and Q ₂=5 C Energy stored, E = 1 2 CV ^2 aligned E ₁= 1 2 C ₁ ~V ^2 & = 1 2 2 C 25 & =25 ~J aligned Similarly, E ₂= 1 2 C ₂ ~V ^2= 1 2 C 25=12.5 ~J E ₁- E ₂ Q ₁- Q ₂ = 12.5 5 = 5 2

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