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Standard XII

Physics

Electric Potential Due to a Solid Sphere of Charge

A small spher...

Question

A small sphere of radius r1 and charge q1 is enclosed by a sphericalshell of radius r2 and charge q2. Show that if q1 is positive, chargewill necessarily flow from the sphere to the shell (when the two areconnected by a wire) no matter what the charge q2 on the shell is.

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Solution

From Gauss’s law, it can be concluded that the electric field between a sphere and a shell is determined by the charge q 1 on the small sphere.

Thus, the potential difference ( V ) between the small sphere and the spherical shell will be independent of charge q 2 . So the potential difference V will always be positive for the positive charge q 1 .

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