A capacitor of capacitance C charged by an amount Q is connected in parallel with an uncharged capacitor of capacitance 2C. The final charges on the capacitors are

Options

A. `(Q)/(3) , (2Q)/( 3)`
B. `(Q)/(2) ,(Q)/(2)`
C. `(Q)/(5) ,(4Q)/(5)`
D. `(Q)/(4) ,(3Q)/(4)`

Answer

A

Explanation

The two capacitor will reach a common potential. As the changes are in parallel combination.
` (Q_1)/(C )=(Q_2)/(2C ) implies 2Q_1`
so ` Q_1 +Q_2 =Qimplies Q_1 =(Q)/(3) & Q_2 = (2Q)/(3)`