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Adapted from 22.37 in your book: A long coaxial cable consists of an inner cylindrical conductor with radius 1.00 mm and an outer coaxial conducting cylinder with inner radius 4.0 mm and outer radius 5.0 mm. The outer cylinder is mounted on insulating supports and has no net charge. The inner cylinder has a uniform charge per unit length of 1.0 C/m. a) Calculate the electric field in the space between the cylinders. b) Calculate the electric field outside the outer cylinder. c) What is the electric field in the interior of the outer cylinder? d) Find the charge per unit length on the inner surface and the outer surface of the cylinder.

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Casey Durgan
Casey DurganLv2
10 May 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

A coaxial cable is formed by a long, straight wire and a hollow conducting cylinder with axes that coincide. The wire has charge per unit length , and the hollow cylinder has net charge per unit length . Use Gauss’s law to answer these questions: What are the charges per unit length on

  1. a. the inner surface and
  2. b. the outer surface of the hollow cylinder?
  3. c. What is the electric field a radial distance d from the axis of the coaxial cable?

A long cylindrical conducting shell has inner radius R1=10 cmand an outer radius R2=12 cm. the conductor has no net charge. Atthe center of the cylinder, there is a negative line of charge withlinear charge density λ=5μc/m.

A) Find the magnitude and direction ofthe electric field outside the shell at a distance r from thecenter, (r>R2)

B) Find the magnitude anddirection electric field in the region between the inner and theouter radius of the conductor at distance r from the center (R2>r >R1)

C) Find the surface charge densityon the outer surface of the conductor.

Consider two long, coaxial, and thin cylindrical shells. The inner shell has the radius of R1 and the outer of R2. The inner shell has a certain negative charge per unit length and the outer shell has a positive charge per unit length. The positive charge is twice as big in magnitude as the negative charge. Both charges are distributed uniformly over the surface. Determine the electric field and the electric potential as functions of the distance away from the axis of the shells. Make qualitative plots of these functions. Note that a derivative of ln x is 1/x.

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