A non-conducting sphere of radius ? has a non-uniform charge density, given by thefunction ?(?) = ?0(??)2, where ? and ?0 are constants.Find an expression for the absolute potential as a function of distance from the center ofthe sphere, ?(?), where the zero point is set at infinity.Hint: find an expression for the electric field using Gauss’s law, then use the definition ofpotential difference:?? − ?? = − ∫ ?⃗??∙ ?? Test 2 Review ProblemsPhysics 30BProblem 3A non-conducting sphere of radius R has a non-uniform charge density, given by thefunction p(r) = PoG)², where R and po are constants.RFind an expression for the absolute potential as a function of distance from the center ofthe sphere, V(r), where the zero point is set at infinity.Hint: find an expression for the electric field using Gauss's law, then use the definition ofpotential difference:Vp – Va =%3D-a.

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Answered: Problem 3 A non-conducting sphere of…

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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A non-conducting sphere of radius ? has a non-uniform charge density, given by the
function ?(?) = ?0
(
?
?
)
2
, where ? and ?0 are constants.
Find an expression for the absolute potential as a function of distance from the center of
the sphere, ?(?), where the zero point is set at infinity.
Hint: find an expression for the electric field using Gauss’s law, then use the definition of
potential difference:
?? − ?? = − ∫ ?⃗
?
?
∙ ??

Test 2 Review Problems
Physics 30B
Problem 3
A non-conducting sphere of radius R has a non-uniform charge density, given by the
function p(r) = PoG)², where R and po are constants.
R
Find an expression for the absolute potential as a function of distance from the center of
the sphere, V(r), where the zero point is set at infinity.
Hint: find an expression for the electric field using Gauss's law, then use the definition of
potential difference:
Vp – Va =
%3D
-
a.

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