The wires comprising the winding shown in cross-section by Fig. P8.6.6 carry current in the…
The wires comprising the winding shown in cross-section by Fig. P8.6.6 carry current in the 
direction over the range 
and return this current over the range 
. These windings extend uniformly over the range 
. Thus, the current density in the region of interest is 
sin
z, where i is the current carried by each wire and 
is the number of turns per unit area. This region is surrounded by perfectly conducting walls at 
and 
and at 
and 
. The length 
in the 
direction is much greater than either a or b.
(a) Show that
(b) Show that the inductance of the winding is
(c) Sketch 
.
Fig. P8.6.6
