Problem 6.16 A coaxial cable consists of two very long cylindrical tubes, separated by linear insulating material of magnetic susceptibility Xm. A current / flows down the inner conductor and returns along the outer one; in each case, the current dis- tributes itself uniformly over the surface (Fig. 6.24). Find the magnetic field in the region between the tubes. As a check, calculate the magnetization and the bound currents, and confirm that (together, of course, with the free currents) they generate the correct field. b a FIGURE 6.24 Problem 6.17 A current / flows down a long straight wire of radius a. If the wire is made of linear material (copper, say, or aluminum) with susceptibility XM, 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?

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Chapter6: Gauss's Law
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Problem 6.16 A coaxial cable consists of two very long cylindrical tubes, separated
by linear insulating material of magnetic susceptibility Xm. A current / flows down
the inner conductor and returns along the outer one; in each case, the current dis-
tributes itself uniformly over the surface (Fig. 6.24). Find the magnetic field in the
region between the tubes. As a check, calculate the magnetization and the bound
currents, and confirm that (together, of course, with the free currents) they generate
the correct field.
b
a
FIGURE 6.24
Problem 6.17 A current / flows down a long straight wire of radius a. If the wire
is made of linear material (copper, say, or aluminum) with susceptibility XM, 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?
Transcribed Image Text:Problem 6.16 A coaxial cable consists of two very long cylindrical tubes, separated by linear insulating material of magnetic susceptibility Xm. A current / flows down the inner conductor and returns along the outer one; in each case, the current dis- tributes itself uniformly over the surface (Fig. 6.24). Find the magnetic field in the region between the tubes. As a check, calculate the magnetization and the bound currents, and confirm that (together, of course, with the free currents) they generate the correct field. b a FIGURE 6.24 Problem 6.17 A current / flows down a long straight wire of radius a. If the wire is made of linear material (copper, say, or aluminum) with susceptibility XM, 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?
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