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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.C2VC1C2C1VC1C2(1+C2C1)D(1−C2C1)V

A
C1VC1C2
B
(1+C2C1)
C
D(1C2C1)V
D
C2VC1C2
Solution
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#### Charge on first capacitors, q1=c1vCharge on second capacitor, q2=cwhen they are connected in parallel the total charge, q=q1+q2∴q1=c1vand capacitor, c=c1+c2Let V be the common potential difference across each capacitors, then q=cv∴v′=qc=c1vc1+c2

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