A long circular cylinder of radius R carries a

Chapter 6, Problem 8P

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QUESTION:

Problem 8P

A long circular cylinder of radius R carries a magnetization M =  where k is a constant, s is the distance from the axis, and  is the usual azimuthal unit vector (Fig. 6.13). Find the magnetic field due toM, for points inside and outside the cylinder.

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QUESTION:

Problem 8P

A long circular cylinder of radius R carries a magnetization M =  where k is a constant, s is the distance from the axis, and  is the usual azimuthal unit vector (Fig. 6.13). Find the magnetic field due toM, for points inside and outside the cylinder.

ANSWER:

Solution 8P:

Step 1 of 5:-

Here we need to find the magnetic field inside and outside the cylinder due to the magnetization .

The radius of the cylinder is .

Magnetization is:

Where is a constant and is the distance from the cylinder axis.

Here the magnetization is a function of distance from the cylinder axis and the magnetic field must be a function of the same.

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