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MHT CET202312 May 2023Evening ShiftPhysicsCapacitanceActual

If the charge on the capacitor is increased by 3 coulombs, the energy stored in it increases by 44 % . The original charge on the capacitor is

Options

  1. A10 C
  2. B15 C
  3. C20 C
  4. D25 C

Correct answer

B. 15 C

Step-by-step solution

Energy stored in a charged capacitor is U = Q ^2 2 C U Q ^2 As per given condition, when, Q ₂= ( Q ₁+3 ) , array ll & U ₂=44 % of U ₁= 144 100 U ₁ & Q ₂^2 2 C = 144 100 Q ₁^2 2 C & Q ₁= 10 12 Q ₂ & Q ₁= 5 6 ( Q ₁+3 ) & 6 Q ₁=5 Q ₁+15 & Q ₁=15 C array

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