An infinitely long cylinder, of radius R, carries a “frozen-in” magnetization, parallel to the axis, where k is a constant and s is the distance from the axis; there is no free current anywhere. Find the magnetic field inside and outside the cylinder by two different methods:
(a) As in Sect. 6.2, locate all the bound currents, and calculate the field they produce.
(b) Use Ampère’s law (in the form of Eq. 6.20) to find H, and then get B from Eq. 6.18. (Notice that the second method is much faster, and avoids any explicit reference to the bound currents.)
Equation 6.18
Equation 6. 20
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