On Jun 14, 11:04*pm, K1TTT wrote:
read more »

no, i've read enough thank you.

I think there are 2 basic things you are missing... V and I are
functions not only of time, but of distance along the line, both for
the forward and reflected waves. looking at them at specific points
can lead to incorrect assumptions and over simplified conclusions.
Also, there are very good reasons why the sinusoidal steady state
condition is used to simplify the equations they way they are normally
shown, and why your over simplifications won't hack it in the long
run. to do the full analysis of a distributed system (except in very
special cases) for an arbitrary waveform requires summations of
reflections both ways on the line over many reflection periods.. the
results of this for step functions can be seen with simple tdr's on
lines with multiple discontinuities where you can see the reflections
ringing down.