Two metal spheres of capacitances C1 and C2 carry some charges. They are put in contact and then separated. The final charges Q1 and Q2 on them will satisfy.

Given: two metal spheres of capacitances C1 and C2 carrying some charges.

Explanation:


Two metal spheres carrying different charges have different electric fields on their surfaces and have different potential. When they are put in contact , due to potential difference, charge transfer takes place between them such that they acquire same potential .


When two conductors are placed in contact with each other they acquire same potential.


Potential difference V across capacitor is given by the formula



Where


Q=charge on the capacitor


C=capacitance of the capacitor


Therefore, after putting them in contact and separating them, if the final charges are given by Q1 and Q2 then



1