An infinitely long cylindrical conducting shell of outer radius r1 = 0.10 m and inner radius r2 = 0.08 m initially carries a surface charge density σ = -0.45 μC/m2. A thin wire, with linear charge density λ = 1.2 μC/m, is inserted along the shells' axis. The shell and the wire do not touch and there is no charge exchanged between them. What is the new surface charge density, in microcoulombs per square meter, on the inner surface of the cylindrical shell? What is the new surface charge density, in microcoulombs per square meter, on the outer surface of the cylindrical shell?   Enter an expression for the magnitude of the electric field outside the cylinder (r > 0.1 m), in terms of λ, σ, r1, r, and ε0.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter24: Electric Fields
Section24.5: Electric Field Of A Continuous Charge Distribution
Problem 24.6CE: a. Figure 24.22A shows a rod of length L and radius R with excess positive charge Q. The excess...
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 An infinitely long cylindrical conducting shell of outer radius r1 = 0.10 m and inner radius r2 = 0.08 m initially carries a surface charge density σ = -0.45 μC/m2. A thin wire, with linear charge density λ = 1.2 μC/m, is inserted along the shells' axis. The shell and the wire do not touch and there is no charge exchanged between them.

What is the new surface charge density, in microcoulombs per square meter, on the inner surface of the cylindrical shell? What is the new surface charge density, in microcoulombs per square meter, on the outer surface of the cylindrical shell? 

 Enter an expression for the magnitude of the electric field outside the cylinder (r > 0.1 m), in terms of λσr1r, and ε0

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