Q11 of 94 Page 165

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



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