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NEET2010PhysicsCapacitanceActual

What would be the voltage across C₃ ?

Options

  1. A(C₁+C₂ ) V C₁+C₂+C₃
  2. BC₁ V C₁+C₂+C₃
  3. CC₂ V C₂+C₂+C₃
  4. DC₃ V C₁+C₂+C₃

Correct answer

A. (C₁+C₂ ) V C₁+C₂+C₃

Step-by-step solution

Capacitors C₁ and C₂ are in parallel, their equivalent capacitance is in series with capacitor C₃ . Hence, the equivalent capacitance of the given circuit is C_ e q = (C₁+C₂ ) C₃ C₁+C₂+C₃ Charge on capacitor C₃ is aligned Q & =V C_ eq & = V (C₁+C₂ ) C₃ C₁+C₂+C₃ aligned Voltage across C₃ is = Q C₃ = V (C₁+C₂ ) C₁+C₂+C₃

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