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Most Important Selected Qs for JEE AdvancedPhysicsCapacitance

In the circuit, if no current flows through the galvanometer when the key K is closed, the bridge is balanced. The balancing condition for bridge is

Options

  1. AC ₁ C ₂ = R ₁ R ₂
  2. BC ₁ C ₂ = R ₂ R ₁
  3. CC ₁^2 C ₂^2 = R ₁^2 R ₂^2
  4. DC ₁^2 C ₂^2 = R ₂ R ₁

Correct answer

B. C ₁ C ₂ = R ₂ R ₁

Step-by-step solution

as V _ A - V _ B =0, ~V _ C - V _ A = IR , V _ A - V _ D = IR ₂, ~V _ C - V _ B = Q C ₁ , ~V _ B - V _ A = Q C ₂ IR ₁= Q C ₁ IR ₂= Q C ₂ . (ii) R₁ R₂ = C₂ C₁

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