Coaxial cable R A long coaxial cable carries a uniform (positive) surface charge density o = 5 µC/m². On the inner cylinder radius R1 = 0.8 mm, and uniform surface charge density on the outer cylindrical shell (radius R2 = 1.4 mm). The surface charge is negative and of just the right magnitude so that the cable as a whole is neutral. a) Find the surface charge density oz of the cylindrical shell of radius R2. b) Find an expression of electric field at r mm from the center where R1 < r < Rq. Assume the cylinder has a length L and L is very long so that electric field is uniform. Consider that the insulating material between the cylinders is air. (Hint : use Gauss's law and cylindrical Gaussian surface with radius r.) Magnitude of the electric field at r = 0.88 mm c) Calculate absolute value of the potential difference between the wire and the cylinder.

Coaxial cable R A long coaxial cable carries a uniform (positive) surface charge density o = 5 µC/m². On the inner cylinder radius R1 = 0.8 mm, and uniform surface charge density on the outer cylindrical shell (radius R2 = 1.4 mm). The surface charge is negative and of just the right magnitude so that the cable as a whole is neutral. a) Find the surface charge density oz of the cylindrical shell of radius R2. b) Find an expression of electric field at r mm from the center where R1 < r < Rq. Assume the cylinder has a length L and L is very long so that electric field is uniform. Consider that the insulating material between the cylinders is air. (Hint : use Gauss's law and cylindrical Gaussian surface with radius r.) Magnitude of the electric field at r = 0.88 mm c) Calculate absolute value of the potential difference between the wire and the cylinder.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Coaxial cable
A long coaxial cable carries a uniform (positive) surface charge density o1 = 5 µC/m?. On the inner cylinder radius R1 = 0.8 mm, and uniform
surface charge density on the outer cylindrical shell (radius R2 = 1.4 mm). The surface charge is negative and of just the right magnitude so that the
cable as a whole is neutral.
a) Find the surface charge density oz of the cylindrical shell of radius R2.
b) Find an expression of electric field at r mm from the center where R1 <r < R2. Assume the cylinder has a length L and L is very long so that
electric field is uniform. Consider that the insulating material between the cylinders is air. (Hint : use Gauss's law and cylindrical Gaussian surface with
radius r.)
Magnitude of the electric field at r = 0.88 mm
c) Calculate absolute value of the potential difference between the wire and the cylinder.

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