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26 Nov 2019

A Van de Graaff generator (see the figure) can develop a very largepotential difference, even millions of volts. Electrons are pulledoff the belt by the high voltage pointed electrode at A, leavingthe belt positively charged. (Recall Example 23-5 where we saw thatnear sharp points the electric field is high and ionization canoccur.) The belt carries the positive charge up inside thespherical shell where electrons from the large conducting sphereare attracted over to the pointed conductor at B, leaving the outersurface of the conducting sphere positively charged. As more chargeis brought up, the sphere reaches extremely high voltage. Considera Van de Graaff generator with a sphere of radius 0.28 m.


(a) What is the electric potential on the surface of the spherewhen electrical breakdown occurs? (Assume V = 0 at r =infinity.)


(b) What is the charge on the sphere for the potential found inpart (a)?

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