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A small sphere of radius r_(1) and charge q_(1) is enclosed by a spherical shell of radius r_(2) and charge q_(2). Show that if q_(1) is positive, charge will necessarily flow from the sphere to the shell (when the two are connected by a wire) no matter what the charge q_(2) on the shell is [Fig]

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Answer Text

Solution :
According to Gauss's law , the electric field between a spheres and a shell is determined by the charge `q_(1)` on a small sphere, hence, the potential difference, V, between the sphere and the shell is independent of charge `q_(2)`, for postive charge `q_(1)`, potential difference V is always positive.

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