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MHT CET20227 Aug 2022Evening ShiftPhysicsCapacitanceActual

A parallel combination of three condensers of capacities ' 2 C , ' C ' and ' C / 2 ' is connected Across 10 ~V battery. All the condensers are fully charged to charges ' Q ₁ ', ' Q ₂ ' and ' Q 3' respectively. The ratio Q ₁: Q ₂: Q ₃ is

Options

  1. A4: 1: 2
  2. B1: 4: 2
  3. C1: 2: 4
  4. D4: 2: 1

Correct answer

D. 4: 2: 1

Step-by-step solution

In parallel combination the potential drop across each capacitor is same. aligned & V= Q₁ C₁ = Q₂ C₂ = Q₃ C₃ & V= Q₁ 2 C = Q₂ C = Q₃ (C / 2) & (C V)= Q₁ 2 = Q₂ 1 = Q₃ 1 / 2 & Q₁=2 (C V), Q₂=1 (C V) and Q₃= 1 2 (C V) & Q₁: Q₂: Q₃=2: 1: 0.5 & Q₁: Q₂: Q₂=4: 2: 1 aligned

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