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

Options

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))`

Answer

A

Explanation

When a charged capacitor of capacitance `C_(1)` is connected in parralel 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_(1) + 0)/(C_(1) + C_(2)) = (C_(1)V)/(C_(1) + C_(2))`