A wire carrying a current in the direction is suspended a height h above the surface of a…

A wire carrying a current 680933f4 e0e9 4514 8728 069294935e86 in the 4ef02bc6 1994 4075 a4d6 f313a55bc945 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 7736f7d4 48fb 4018 9c16 dcee7c39ddff directions. Region (a), where 69ac2760 eb51 4b1e 9275 4e33fd95b82c, is free space. In region (b), where d229ff50 eee8 4e3f 9e84 c650810cdb5e, the material has uniform permeability µ.

(a) Use the method of images to determine the fields in the two regions.

(b) Now assume that 90b65bb1 e11e 4c2e a639 a971debf5563 and find e5d14d9d 88af 4dec bce9 8709ed0c9e37 in the upper region, assuming at the outset that 0fb2d5d3 0dc8 46d3 a27c 7b4630a57560.

(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 52f83a85 7e39 450e a9fe a1eb05858d93 78570cba 44e1 4235 8ce6 f7c3f6241582.

Fig. P9.6.5

3d633471 8a83 45b0 bc08 def075d9d4e6

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