An infinitely long nonconducting cylinder of radius R and carrying a nonuniform volume charge density of ρ(r) = ar where a is a constant. (a) Calculate charge per unit length of the cylinder (b) Find the expressions for the electric field due to this charged cylinder. You should find one expression for the electric field in the region r < R and a second expression for the field in the region r > R
An infinitely long nonconducting cylinder of radius R and carrying a nonuniform volume charge density of ρ(r) = ar where a is a constant. (a) Calculate charge per unit length of the cylinder (b) Find the expressions for the electric field due to this charged cylinder. You should find one expression for the electric field in the region r < R and a second expression for the field in the region r > 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 48PQ
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An infinitely long nonconducting cylinder of radius R and carrying a nonuniform volume
charge density of ρ(r) = ar where a is a constant.
(a) Calculate charge per unit length of the cylinder
(b) Find the expressions for the electric field due to this charged cylinder. You should find one
expression for the electric field in the region r < R and a second expression for the field in the
region r > R
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