David:

[snip]
i'm sorry, but that just isn't true. make me an equivalent, with a
distributed line, of a 1v step voltage source in series with a 1ohm
resistor.
[snip]

A 1volt step voltage in series with a zero length transmission line
terminated in a 1 Ohm resistor!

Dave, all electrical systems, lumped and distributed alike, obey
the Maxwell-Heaviside equations. They are all the same, not
different as you claim!

Prior to Maxwell [mid 1800's] folks believed that lumped and
distributed systems might obey different laws, but ever since
Maxwell wrote down his celebrated 22
equations, using quaternions, and Oliver Heaviside reduced
them to 4 neat little vector differential equations back in
the mid 1800's, most everyone, with the apparent exception
of yourself, has accepted that lumped and distributed systems
obey the same laws!

What exactly is your point?

Do you believe that lumped systems are described by different
laws than distributed systems? Are you trying to convince me
of that 150 year old discredited idea?

All macro - electrical systems confirm to the same laws of
electrodynamics, namely the Maxwell-Heaviside equations.

The only systems where Maxwell-Heaviside fails to predict
physical reality is when dealing with the "very" small, i.e.
quantum mechanics when one has to do Engineering and
make predictions and design one-photon-at-time. In this
case you have to use quantum electrodynamics or QED
but still all systems, lumped or distributed must obey QED
and Maxwell-Heaviside is just a special case or approximation
to QED laws in the aggregate when there are lots of photons.

Dave you will have a lot of arguing to do to convince modern
electro-technologists that lumped systems obey different laws
from distributed systems. Or that the equations of lumped
impedance matching are any different from transmission
line impedance matching. They are the same! The models
are the same, the mathematics are the same, the experiments
confirm that they are the same.

Exactly what is your point?

--
Peter K1PO
Indialantic By-the-Sea, FL.