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26 Nov 2019

The spherical dome of a Van de Graaff generator can be raised to amaximum potential of 580 kV; then additional charge leaks off insparks, by producing dielectric breakdown of the surrounding dryair.

(a) Determine the charge on the dome.
(b) What is the radius of the dome?


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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

A Van de Graaff generator can develop a very large potentialdifference, even millions of volts. Electrons are pulled off thebelt by the high voltage pointed electrode at A, leaving the beltpositively charged. The belt carries the positive charge up insidethe spherical shell where electrons from the large conductingsphere are attracted over to the pointed conductor at B, leavingthe outer surface of the conducting sphere positively charged. Asmore charge is brought up, the sphere reaches extremely highvoltage. Consider a Van de Graaff generator with a sphere of radius0.24 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)?

Ā A Van de Graaff generator (Fig) can develop a very large potential difference, even millions of volts. Electrons are pulled off the belt by the high voltage pointed electrode at A, leaving the belt positively charged. (Recall Example 23ā€“5 where we saw that near sharp points the electric field is high and ionization can occur.)

The belt carries the positive charge up inside the spherical shell where electrons from the large conducting sphere are attracted over to the pointed conductor at B, leaving the outer surface of the conducting sphere positively charged. As more charge is brought up, the sphere reaches extremely high voltage. Consider a Van de Graaff generator with a sphere of radius 0.20 m.

(a) What is the electric potential on the surface of the sphere when electrical breakdown occurs? (Assume Ā )

(b) What is the charge on the sphere for the potential found in part (a)?Ā 

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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