A long, thin straight wire with linear charge density λ runs down the center of a thin, hollow metal cylinder of radius R. The cylinder has a net linear charge density 2λ. Assume λ is positive. a. Find expressions for the magnitude of the electric field strength inside the cylinder, r<R. Give your answer as a multiple of λ/ε0. Express your answer in terms of some or all of the variables R, r, and the constant π. b. Find expressions for the magnitude of the electric field strength outside the cylinder, r>R. Give your answer as a multiple of λ/ε0. Express your answer in terms of some or all of the variables R, r, and the constant π.

A long, thin straight wire with linear charge density λ runs down the center of a thin, hollow metal cylinder of radius R. The cylinder has a net linear charge density 2λ. Assume λ is positive. a. Find expressions for the magnitude of the electric field strength inside the cylinder, r<R. Give your answer as a multiple of λ/ε0. Express your answer in terms of some or all of the variables R, r, and the constant π. b. Find expressions for the magnitude of the electric field strength outside the cylinder, r>R. Give your answer as a multiple of λ/ε0. Express your answer in terms of some or all of the variables R, r, and the constant π.

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 28PQ: A very long, thin wire fixed along the x axis has a linear charge density of 3.2 C/m. a. Determine...

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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

A long, thin straight wire with linear charge density λ runs down the center of a thin, hollow metal cylinder of radius R. The cylinder has a net linear charge density 2λ. Assume λ is positive.

Find expressions for the magnitude of the electric field strength inside the cylinder, r<R. Give your answer as a multiple of λ/ε0.

Express your answer in terms of some or all of the variables R, r, and the constant π.

Find expressions for the magnitude of the electric field strength outside the cylinder, r>R. Give your answer as a multiple of λ/ε0.

Express your answer in terms of some or all of the variables R, r, and the constant π.

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