An infinite cylinder of radius R has a charge density given by p(r) = ar³, where r is the perpendicular distance from the axis of the cylinder, and a is a constan Show that the electric field for r > R is given by aRT E(r) 7egr

An infinite cylinder of radius R has a charge density given by p(r) = ar³, where r is the perpendicular distance from the axis of the cylinder, and a is a constan Show that the electric field for r > R is given by aRT E(r) 7egr

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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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

An infinite cylinder of radius R has a charge density given by
p(r) = ar³,
where r is the perpendicular distance from the axis of the cylinder, and a is a constant.
Show that the electric field for r > R is given by
aRT
E(r)
7eor
Which direction does it point in?

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