A long cylindrical conductor of radius R carries a "frozen-in" magnetization parallel to its axis, M = ks32, where k is a constant and s is the distance from the axis. There are no free currents anywhere. 3. (a) Find the bound current densities. (b) Use the bound currents as sources to calculate the magnetic field inside and outside the cylinder. (c) Use Ampere's law to compute the auxiliary field H; don't just state your answer, prove it with sufficient explanation.

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Please answer parts (a), (b), and (c).

A long cylindrical conductor of radius R carries a "frozen-in" magnetization parallel to its
ks32, where k is a constant and s is the distance from the axis. There are no
3.
axis, M
free currents anywhere.
(a) Find the bound current densities.
(b) Use the bound currents as sources to calculate the magnetic field inside and outside
the cylinder.
(c) Use Ampere's law to compute the auxiliary field H; don't just state your answer,
prove it with sufficient explanation.
Transcribed Image Text:A long cylindrical conductor of radius R carries a "frozen-in" magnetization parallel to its ks32, where k is a constant and s is the distance from the axis. There are no 3. axis, M free currents anywhere. (a) Find the bound current densities. (b) Use the bound currents as sources to calculate the magnetic field inside and outside the cylinder. (c) Use Ampere's law to compute the auxiliary field H; don't just state your answer, prove it with sufficient explanation.
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