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A capacitor or capacitance C(1) is char...

A capacitor or capacitance `C_(1)` is charge to a potential V and then connected in parallel to an uncharged capacitor of capacitance `C_(2)`. The fianl potential difference across each capacitor will be

A

`(C_(1)V)/(C_(1)+C_(2))`

B

`(C_(2)V)/(C_(1)+C_(2))`

C

`1+(C_(2))/(C_(1))`

D

`1-(C_(2))/(C_(1))`

Text Solution

Verified by Experts

The correct Answer is:
A
When a charged capacitor of capacitance `C_(1)` is connceted in parallal to an uncharged capacitor of capacitance `C_(2)`, the charge is shared between them till both attain the common potential which is given by , common potential `=(q_(1) + q_(2))/(C_(1)+C_(2)) =(C_(1)V +0)/(C_(1)+C_(2)) = (C_(1) V)/(C_(1)+C_(2))`
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