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KCET2019PhysicsCapacitance

A capacitor of capacitance ( C ) charged by an amount ( Q ) is connected in parallel with an uncharged capacitor of capacitance 2C. The final charges on the capacitors are

Options

  1. A( Q 3 , 2 Q 3 )
  2. B( Q 2 , Q 2 )
  3. C( Q 5 , 4 Q 5 )
  4. D( Q 4 , 3 Q 4 )

Correct answer

A. ( Q 3 , 2 Q 3 )

Step-by-step solution

(A) The two capacitors attain common potential ( (V_ C ) ) given by the relation ( V_ c = Total charge Total Capacitance = Q+0 C+2 C = Q 3 C ) The final charges on two capacitors are ( Q₁=C V_ c = C Q 3 C = Q 3 ) and ( Q₂=2 C V_ c = 2 Q 3 )

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