The volumetric charge density of a cylinder of radius R is proportional to the distance to the center of the cylinder, that is, ρ = Ar when r≤R, with A being a constant. (a) Sketch the charge density for the region - 3R < r < 3R. What is the dimension of A? b) Calculate the electric field for a point outside the cylinder, r > R c) Calculate the electric field for a point inside the cylinder, r

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter25: Gauss’s Law
Section: Chapter Questions
Problem 43PQ: The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R),...
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The volumetric charge density of a cylinder of radius R is proportional to the distance to the center of the cylinder, that is, ρ = Ar when r≤R, with A being a constant.


(a) Sketch the charge density for the region - 3R < r < 3R. What is the dimension of A?
b) Calculate the electric field for a point outside the cylinder, r > R
c) Calculate the electric field for a point inside the cylinder, r<R.
d) Sketch Exr

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