Question

# 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.

A
C2VC1C2
B
C1VC1C2
C
(1+C2C1)
D
D(1C2C1)V
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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