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Manipal MET2019PhysicsCapacitance

Two capacitors C₁ and C₂=2 C₁ are connected in a circuit with a switch between them as shown in the figure. Initially the switch is open and C₁ holds charge Q . The switch is closed. At steady state, the charge on each capacitors will be

Options

  1. AQ, 2 Q
  2. BQ 3 , 2 Q 3
  3. C3 Q 2 , 3 Q
  4. D2 Q 3 , 4 Q 3

Correct answer

B. Q 3 , 2 Q 3

Step-by-step solution

Charge redistributes on the capacitors in the ratio of their capacitance. aligned Q₁ Q₂ & = C₁ C₂ = C₁ 2 C₁ = 1 2 Q₁: Q₂ & =1: 2 Q₁ & = 1 1+2 Q= Q 3 Q₂ & = 2 1+2 Q= 2 3 Q aligned

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