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 
direction transverse to its axis, as shown in Fig. P9.2.2. Thus, for 
In 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
(a) Show that if 
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 
. Then, 
is time varying even though there is no 
. A oneturn rectangular coil having depth d in the z direction has legs running parallel to the z axis in the +z direction at 
and in the 
direction at 
. The other legs of the coil are perpendicular to the 
axis. Show that the voltage induced at the terminals of this coil by the time-varying magnetization density is 
