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A current $I$ flows down a long straight wire of radius $a$. If the wire is made of linear material (copper, say, or aluminum) with susceptibility $\chi_{m}$, and t...

Question

A current $I$ flows down a long straight wire of radius $a$. If the wire is made of linear material (copper, say, or aluminum) with susceptibility $\chi_{m}$, and the current is distributed uniformly, what is the magnetic field a distance $s$ from the axis? Find all the bound currents. What is the net bound current flowing down the wire?

A current $I$ flows down a long straight wire of radius $a$. If the wire is made of linear material (copper, say, or aluminum) with susceptibility $\chi_{m}$, and the current is distributed uniformly, what is the magnetic field a distance $s$ from the axis? Find all the bound currents. What is the net bound current flowing down the wire?



Answers

A very long, cylindrical wire of radius $R$ carries a current $I_0$ uniformly distributed across the cross
section of the wire. Calculate the magnetic flux through a rectangle that has one side of length $W$ running down the center of the wire and another side of length $R$, as shown in $\textbf{Fig. P29.55}$ (see Exercise 29.7).


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