Question

What is the capacitance of a drop that results when two mercury spheres, each of radius R = merge?

Hard

Solution

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Assuming conservation of volume, we find the radius of the combined spheres, then use to find the capacitance. When the drops combine, the volume is doubled. It is then . The new radius is given by :

The new capacitance is :

With we obtain

Solve any question of Electrostatic Potential and Capacitance with:-

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