long coaxial cable consists of an inner cylindrical conductor with radius a and an outer coaxial cylinder with inner radius b and outer radius c . The outer cylinder is mounted on insulating supports and has no net charge. The inner cylinder has a uniform positive charge per unit length λ . Part A Calculate the magnitude of the electric field at any point between the cylinders a distance r from the axis. Express your answer in terms of the variables a , b , c , r , λ and constants π and ϵ 0 .    Part C Calculate the magnitude of the electric field at any point outside the outer cylinder a distance r from the axis. Express your answer in terms of the variables a , b , c , r , λ and constants π and ϵ 0 .  Part E Find the charge per unit length on the inner surface and on the outer surface of the outer cylinder. Enter your answers in ascending order separated by a comma.

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 72PQ: A coaxial cable is formed by a long, straight wire and a hollow conducting cylinder with axes that...
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long coaxial cable consists of an inner cylindrical conductor with radius a and an outer coaxial cylinder with inner radius b and outer radius c . The outer cylinder is mounted on insulating supports and has no net charge. The inner cylinder has a uniform positive charge per unit length λ .

Part A Calculate the magnitude of the electric field at any point between the cylinders a distance r from the axis. Express your answer in terms of the variables a , b , c , r , λ and constants π and ϵ 0 .  

 Part C Calculate the magnitude of the electric field at any point outside the outer cylinder a distance r from the axis. Express your answer in terms of the variables a , b , c , r , λ and constants π and ϵ 0 . 

Part E Find the charge per unit length on the inner surface and on the outer surface of the outer cylinder. Enter your answers in ascending order separated by a comma. 

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