In the circuit shown, a capacitor of capacitance 3 μF is charged form a battery of emf 6 V with switch connected to terminal P. The switch is now connected to Q. This charges the 6 μF capacitor from the 3 μF one. What is the new potential difference across combination?

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1 V

2 V

4 V

6 V

answer is B.

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Detailed Solution

Initially at switch position Q, by conservation of charge, the voltage V across the two capacitors is thus given byq=q1+q2=CV1+C2V=C1+C2Vor 18=3+6Vor V=18/9=2V

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