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Capacitors and capacitance

In the circuit shown, a capacitor of capacitance 3μF 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 6μF capacitor from the 3μF one. What is the new potential difference across combination? 


Initially at switch position Q, by conservation of charge, the voltage V across the two capacitors is thus given by


or 18=3+6V

or V=18/9=2V

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