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A long coaxial cylindrical cable consists of a metal wire of radius a, which is surrounded by a concentric metal tube of inner radius b. The space between them is filled with a linear dielectric material of susceptibility x. A free charge per length 1 = Q/L is placed on the inner cable and an opposite charge per length is placed on the outer tube. (a) Using Gauss's law find the electric displacement D in the region between the two conductors a

A long coaxial cylindrical cable consists of a metal wire of radius a, which is surrounded by a concentric metal tube of inner radius b. The space between them is filled with a linear dielectric material of susceptibility x. A free charge per length 1 = Q/L is placed on the inner cable and an opposite charge per length is placed on the outer tube. (a) Using Gauss's law find the electric displacement D in the region between the two conductors a

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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A long coaxial cylindrical cable consists of a metal wire of radius a, which is surrounded by a concentric metal tube of inner radius b. The space between them is filled with a linear dielectric material of susceptibility x. A free charge per length 2 = Q/L is placed on the inner cable and an opposite charge per length is placed on the outer tube. (a) Using Gauss's law find the electric displacement D in the region between the two conductors a <s < b, where s is the distance from the cylindrical axis. (b) Using the susceptibility x find the electric field E and the polarization P in the region between the two conductors. [ (c) Find the bound volume and surface charge densities on the dielectric material. (d) Verify that the discontinuity of E at s = a satisfies Gauss's law for the total electric charge.
Transcribed Image Text:A long coaxial cylindrical cable consists of a metal wire of radius a, which is surrounded by a concentric metal tube of inner radius b. The space between them is filled with a linear dielectric material of susceptibility x. A free charge per length 2 = Q/L is placed on the inner cable and an opposite charge per length is placed on the outer tube. (a) Using Gauss's law find the electric displacement D in the region between the two conductors a <s < b, where s is the distance from the cylindrical axis. (b) Using the susceptibility x find the electric field E and the polarization P in the region between the two conductors. [ (c) Find the bound volume and surface charge densities on the dielectric material. (d) Verify that the discontinuity of E at s = a satisfies Gauss's law for the total electric charge.
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