A non-uniform thin rod is bent into an arc of radius R. The linear charge density λ of the rod depends on θ and is given by λ = λ0 cos θ where λ0 is a positive constant. The arc extends from θ = π 4 to θ = 3π 4 Calculate the magnitude of the electric field

A non-uniform thin rod is bent into an arc of radius R. The linear charge density λ of the rod depends on θ and is given by λ = λ0 cos θ where λ0 is a positive constant. The arc extends from θ = π 4 to θ = 3π 4 Calculate the magnitude of the electric field

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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Concept explainers

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 non-uniform thin rod is bent into an arc of radius R. The linear charge density λ of the rod
depends on θ and is given by
λ =
λ0
cos θ
where λ0 is a positive constant. The arc extends from θ =
π
4
to θ =
3π
4

Calculate the magnitude of the electric field

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