A long hollow thin-shelled insulating cylinder has a radius R and a uniform surface charge density σ. At the center is an infinite line of charge with linear charge density λ. What is the electric field a distance r from the central axis? Give ansers for r < R and r> R

A long hollow thin-shelled insulating cylinder has a radius R and a uniform surface charge density σ. At the center is an infinite line of charge with linear charge density λ. What is the electric field a distance r from the central axis? Give ansers for r < R and 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 43PQ: The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R),...

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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 long hollow thin-shelled insulating cylinder has a radius R and a uniform surface charge density
σ. At the center is an infinite line of charge with linear charge density λ. What is the electric field a distance r
from the central axis? Give ansers for r < R and r> R

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Step 2: Determine the electric field at distance r<R

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Step 3: Determine electric field at distance r>R

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