Force from Infinitely Long Cylindrical Magnet on Magnetic Dipole

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SUMMARY

The force exerted by an infinitely long cylindrical magnet on a magnetic dipole is determined by the magnetization vector, M, which is aligned in the z direction. Due to the infinite length of the cylinder, there is no external magnetization present outside the cylinder, confirming that the magnetic field is confined within. The discussion suggests that calculations may vary with different lengths of the cylinder, but the primary conclusion is that the external field remains zero.

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Homework Statement



What is the force from an infinitely long cylindrical magnet on a magnetic dipole?

Homework Equations



M=Mz (given in problem)

The Attempt at a Solution



My argument for this solution that since the magnetization is in the z direction and the cylinder is infinitely long, there is no magnetization outside of the cylinder. I believe this is correct, but would like some feedback to make sure :) Thanks!
 
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Perhaps you were expected to make calculations at varying/increasing lengths?
 

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