#### Question

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

`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`

#### 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_{1}V and Q_{2} = C_{2}V

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

Is there an error in this question or solution?

Solution P Two Metal Spheres of Capacitance C1 and C2 Carry Some Charges. They Are Put in Contact and Then Separated. the Final Charges Q1 and Q2 on Them Will Satisfy Concept: Capacitors and Capacitance.