(II) The 1/² form of Coulomb's law implies the following: (i) The electric field is zero at all points inside a uniformly charged shell. (ii) The electric field outside a uniformly charged sphere can be found by treating the charge as being concentrated at the center. Use these facts to show that within a uniformly charged sphere of radius R having a volume charge density p C/m³, the field strength increases linearly with the distance r from the center. That is, Ex r for r < R.

(II) The 1/² form of Coulomb's law implies the following: (i) The electric field is zero at all points inside a uniformly charged shell. (ii) The electric field outside a uniformly charged sphere can be found by treating the charge as being concentrated at the center. Use these facts to show that within a uniformly charged sphere of radius R having a volume charge density p C/m³, the field strength increases linearly with the distance r from the center. That is, Ex r for r < R.

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.

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(II) The 1/r² form of Coulomb's law implies the following:
(i) The electric field is zero at all points inside a uniformly
charged shell. (ii) The electric field outside a uniformly
charged sphere can be found by treating the charge as being
concentrated at the center. Use these facts to show that
within a uniformly charged sphere of radius R having a
volume charge density p C/m³, the field strength increases
linearly with the distance r from the center. That is, Ex r
for r < R.

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