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MHT CET20226 Aug 2022Evening ShiftPhysicsCapacitanceActual

The network of four capacitors is connected to a battery as shown in the figure. The ratio of charges on capacitors C₂ and C₄ is

Options

  1. A4 17
  2. B5 21
  3. C3 22
  4. D1 16

Correct answer

C. 3 22

Step-by-step solution

Equivalent capacitance for three capacitors C₁, C₂ and C₃ in series is given by aligned & 1 C_ e q = 1 C₁ + 1 C₂ + 1 C₃ = C₂ C₃+C₃ C₁+C₁ C₂ C₁ C₂ C₃ & C_ e q = C₁ C₂ C₃ C₁ C₂+C₂ C₃+C₃ C₁ & C_ e q = C (2 C )(3 C ) (3 C )(2 C )+(2 C )+(3 C ) C = 6 11 C & Charge on capacitors (C₁, C₂ & C₃ ) in series & =C_ e q V= 6 11 C V aligned =C_ e q V= 6 11 C V Charge on capacitor C₄=C₄ V=4 C V Charge on C₂ Charge on C₄ = ( 6 C 11 ) V (4 C) V 1 4 = 3 22

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