An infinite line charge has constant charge-per-unit-length λ. Surrounding the line charge is a cylindrical shell of radius R, and carrying a constant chargeper-unit-area σ. Given λ, what must σ be in order to get zero electric field for all points outside the cylindrical shell? For that σ, what is the electric field in between the line of charge and the shell?

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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An infinite line charge has constant charge-per-unit-length λ. Surrounding the line charge is a cylindrical shell of radius R, and carrying a constant chargeper-unit-area σ. Given λ, what must σ be in order to get zero electric field for all points outside the cylindrical shell? For that σ, what is the electric field in between the line of charge and the shell?

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