Problem

A very long conductor in free space carrying a current I is parallel to, and at a distance...

A very long conductor in free space carrying a current I is parallel to, and at a distance d from, an infinite plane interface with a medium.

a) Discuss the behavior of the normal and tangential components of B and H at the interface:

i) if the medium is infinitely conducting;

ii) if the medium is infinitely permeable.


b) Find and compare the magnetic field intensities H at an arbitrary point in the free space for the two cases in part (a).


c) Determine the surface current densities at the interface, if any, for the two cases.

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