Coaxial perfectly conducting circular cylinders having outer and inner radii a and b,…
Coaxial perfectly conducting circular cylinders having outer and inner radii a and b, respectively, form the transmission line shown in Fig. P13.1.4.
(a) If the conductors were “open circuit” at and driven by a voltage source
at
, show that the EQS electric field is radial and given by
.
(b) If the conductors were “shorted” at and driven by a current source
at
, show that the MQS magnetic field intensity is φ directed and given by
. (c) With the motivation provided by these limiting solutions, show that solutions to all of Maxwell’s equations (in the region between the conductors) that satisfy the boundary conditions on the surfaces of the coaxial conductors are
provided that and
are now functions not only of
but of
as well that satisfy equations taking the same form as (13.1.2) and (13.1.3).
Fig. P13.1.4