Van de Graaf Generator

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Van de Graaf Generator

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Question 3Explain the principle on which Van de Graff generator operates. Draw a labeled schematic sketch and write briefly its working. ORState and prove Gauss theorem in electrostatics.Ans.Van de Graff, in 1931 designed an electrostatic generator which is capable of producing very high potential of the order of 10 MV.

Principle: Suppose we have a large spherical conducting shell of radius R, carrying charge Q. The charge spreads uniformly over whole surface of the shell. Now suppose a small conducting sphere of radius r is introduced inside the spherical shell and placed at its center, so that both the sphere and shell have same center O. The electric field in the region inside the small sphere and large shell is due to charge +q only, so electric field strength at a distance x from the center O is

This is independent of charge Q on the large spherical shell. As r