A wire carrying a current in the direction is suspended a height h above the surface of a…
A wire carrying a current in the direction is suspended a height h above the surface of a magnetizable material, as shown in Fig. P9.6.5. The wire extends to “infinity” in the directions. Region (a), where , is free space. In region (b), where , the material has uniform permeability µ.
(a) Use the method of images to determine the fields in the two regions.
(b) Now assume that and find in the upper region, assuming at the outset that .
(c) In turn, use this approximate result to find the field in the permeable material.
(d) Show that the results of (b) and (c) are consistent with those from the exact analysis in the limit where µ .