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A capacitor of capacitance C1 charged at a certain potential v. It is connected with another uncharged capacitor C2. What is the final p.d. of this new system.

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Solution

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Charge on second capacitor, q2=c

when they are connected in parallel the total charge, q=q1+q2

∴q1=c1v

and capacitor, c=c1+c2

Let V be the common potential difference across each capacitors, then q=cv

∴v′=qc=c1vc1+c2

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