# Find all the bound currents. What is the net bound current flowing down the wire?

by blueyellow
Tags: bound, current, currents, flowing, wire
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 P: 241 1. The problem statement, all variables and given/known data A current I flows down a long straight wire of radius a. The wire is made of linear material with susceptibility chi(subscript m), and the current is distributed uniformly. i) what is the magnetic field a distance s from the axis? ii) Find all the bound currents. What is the net bound current flowing down the wire? 3. The attempt at a solution i) I found a similar homework question on this website: http://maxwell.uncc.edu/gjgbur/cours...k11answers.pdf which says that B=[mu Is/(2pi a^2)]phi-hat ii) J(subscript M)= curl M = [(chi(subscript M) I)/(pi a^2)] z-hat integral of [(chi(subscript M) I)/(pi a^2)] z-hat dS = loop integral of [(chi(subscript M) I)/(pi a^2)] z-hat. dl =0 why does J(subscript M) have to be integrated over the surface, though? j(subscript m)=M cross n-hat =[- chi(subscript M) Is/(2 pi a^2)]z-hat ? why does http://maxwell.uncc.edu/gjgbur/cours...k11answers.pdf say that j(subscripr m) has to be integrated over the perimeter? How do I do this? And why is the result of it supposed to be zero? Please help

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