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COMEDK2012PhysicsCapacitance

A 10 F capacitor is charged to 10 ~V and disconnected from the battery. If another uncharged 10 F capacitor is connected across it in parallel, then the voltage across the combination will be

Options

  1. A5 ~V
  2. B10 ~V
  3. C20 ~V
  4. DZero

Correct answer

A. 5 ~V

Step-by-step solution

Common potential difference for a parallel combination of capacitors, is V_ C = V₁ C₁+V₂ C₂ C₁+C₂ Given, aligned V₂ &=0, V₁=10 ~V C₁ &=C₂=10 F =10 10⁻⁶ ~F aligned aligned V_ C &= 10 10 10⁻⁶ (10+10) 10⁻⁶ &= 100 20 =5 ~V aligned

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