In a region between the planes and , a material that moves in the direction with velocity has the…
In a region between the planesand
, a material that moves in the
direction with velocity
has the magnetization density
cos
as shown in Fig. P9.2.2. The regions above and below are constrained so that
= 0 there and so that the integral of
· ds between
and
is zero. (In Sec. 9.7, it will be clear that these materials could be the pole faces of a highly permeable magnetic circuit.)
(a) Show that Amp`ere’s law and (9.2.2) are satisfied if throughout the magnetizable layer of material.
(b) A one-turn rectangular coil is located in the 0 plane, one leg running in the
direction at
(from
to
) and another running in the
direction at
(from
to
). What is the voltage induced at the terminals of this coil by the motion of the layer?
Fig. P9.2.2