Field and Wave Electromagnetics 2nd Edition by David Cheng

Exercise 36

The input impedance of an open- or short-circuited lossy transmission line has both a resistive and a reactive component. Prove that the input impedance of a very short section
of a slightly lossy line (
1 and
1) is approximately
(a) a) Z in = (R + j L )
with a short-circuit termination.
b) Z in = ( G - j C)/[ G 2 + ( C) 2 ]
with an open-circuit termination.