MCQ

Two metal spheres of capacitance *C*_{1} and *C*_{2} carry some charges. They are put in contact and then separated. The final charges *Q*_{1} and *Q*_{2} on them will satisfy

#### Options

`Q_1/Q_2< C_1/C_2`

`Q_1/Q_2 = C_1/C_2`

`Q_1/Q_2 > C_1/C_2`

`Q_1/Q_2 = C_2/C_1`

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#### Solution

`Q_1/Q_2 = C_1/C_2`

When the spheres are connected, charges flow between them until they both acquire the same common potential *V*.

The final charges on the spheres are given by

Q_{1}_{ }= C_{ā1}V and Q_{2} = C_{2}V

`therefore Q_1/Q_2 = (C_1V)/(C_2V) = C_1/C_2`

Concept: Capacitors and Capacitance

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