(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.

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
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(II) The l/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, E ex r for r < R.
(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.
Transcribed Image Text:(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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