2. (a) State the Gauss's law relating an electric field E and an enclosed charge q. Show that if thecharge q is a constant, then the Coulomb’s law and Gauss's law gives the same result.(b) A cylinder of radius R and length I carries a charge of density p(r) = kr², where r is anydistance from the axis of the cylinder. Calculate (i) the total enclosed charge Q in the cylinderand (ii) the electric field E on its surface.

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2. (a) State the Gauss's law relating an electric field E and an enclosed charge q. Show that if the charge q is a constant, then the Coulomb's law and Gauss's law gives the same result.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

2. (a) State the Gauss's law relating an electric field E and an enclosed charge q. Show that if the
charge q is a constant, then the Coulomb’s law and Gauss's law gives the same result.
(b) A cylinder of radius R and length I carries a charge of density p(r) = kr², where r is any
distance from the axis of the cylinder. Calculate (i) the total enclosed charge Q in the cylinder
and (ii) the electric field E on its surface.

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