A note on the transition (rise) time versus line length in coaxial cables

A tutorial discussion is given on the relation between the shape of the transition (rise) time versus length curve and that of the frequency domain attenuation. An analysis is developed in terms of hypothetical cable attenuation responses having a frequency
f
dependence of
f^m
, where
m
is a constant
0 <m < 1
. It is shown that if the
f^m
law prevails, then the transition time depends on the length
l
as
l^{1/m}
. Practical applications are made to
RG 58C/U, RG 59B/U
, and
RG 63B/U
.