Answered: A hollow metal cylinder has inner…

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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Question

A hollow metal cylinder has inner radius a, outer radius b, length L, and conductivity σ. The current I is radially outward from the inner surface to the outer surface.

Find an expression for the electric field strength inside the metal as a function of the radius r from the cylinder's axis.

Evaluate the electric field strength at the inner and outer surfaces of an iron cylinder if a = 0.50 cm , b = 2.2 cm , L = 10 cm, and I = 23 A

Expert Solution

Step 1: given data

Given:

The inner radius is a=0.005 m

The outer radius is b=0.022 m

The length is L.=0.1 m

the current is I=23 A

The conductivity is $sigma equals 1 cross times 10 to the power of 7 space text Ω end text to the power of negative 1 end exponent m to the power of negative 1 end exponent$ .

Part (a)

The expression for surface area is:

$A equals 2 pi r L$

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