A solenoid has radius , length , and turns , as shown in Fig. 8.2.3. The length d is much greater…

A solenoid has radius d223caaf 8690 4871 a141 dc5d6da6fb53, length 15cb941d b3aa 4800 90ee 299605b39de8, and turns 4ea507e5 0885 4af7 96c2 6638ab872dcd, as shown in Fig. 8.2.3. The length d is much greater than a, so it can be regarded as being infinite. It is driven by a current i.

(a) Show that Amp`ere’s differential law and the magnetic flux continuity law [(8.0.1) and (8.0.2)], as well as the associated continuity conditions [(8.0.3) and (8.0.4)], are satisfied by an interior magnetic field intensity that is uniform and an exterior one that is zero.

(b) What is the interior field? (c) A is continuous at 10d32189 3773 4800 a76a afdc16321d43 because otherwise the H field would have a singularity. Determine A.

Fig. 8.2.3

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