A circular cylindrical rod of material is uniformly magnetized in the direction transverse to its…

A circular cylindrical rod of material is uniformly magnetized in the e0e73555 9b2f 4a12 aa90 433f09b78178 direction transverse to its axis, as shown in Fig. P9.2.2. Thus, for df3899d8 9817 4e0d b4f0 26ff0c86e5c2 f0e8d500 958a 4fb7 9504 066b32725ce6In the surrounding region, the material forces H to be zero. (In Sec. 9.6, it will be seen that such a material is one of infinite permeability.)

Fig. P9.2.2

4d2f90d1 6c22 4354 8a13 a5002a8744e7

(a) Show that if 3b47ee77 d2f4 456e 91aa 6f22056a4b5b everywhere, both Amp`ere’s law and (9.2.2) are satisfied.

(b) Suppose that the cylinder rotates with the angular velocity Ω so that 6168f975 6fc7 429f a301 53e38e1151aa. Then, b688b371 ed07 40f1 9c8c e72a90c0db38 is time varying even though there is no c619e4a9 5bb5 486c a106 c011f0b12e15. A oneturn rectangular coil having depth d in the z direction has legs running parallel to the z axis in the +z direction at 2c5dda9f 9e4a 4f69 91e3 a9fa1e6cac57 and in the 8de58be2 64f5 4a18 9fa5 51090581c211 direction at 07262af8 1869 4fa5 ab55 ffddf74c9dbe. The other legs of the coil are perpendicular to the c3e94690 bfdb 47ca a749 49fe952337fa axis. Show that the voltage induced at the terminals of this coil by the time-varying magnetization density is b1831169 130e 40ff 87e5 8e96a2722a4b

f8a4b528 1820 497e 809e 67a4e54669e0

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