Cecil Moore wrote:
Tom Donaly wrote:
You can prove that this circuit can be replaced by
a 1000 ohm resistor for all frequencies, using network analysis, but
that's a little more difficult.

That's pretty interesting and not intuitively obvious.

Hi Cecil,
Reg Edward's favorite book _Communication Engineering_ by
William L. Everitt discusses constant resistance networks under the
Chapter entitled "Equalizers." He gives credit to two fellows: R. S.
Hoyt (U.S. Patent 1453980) and O. J. Zobel, who wrote an article
entitled "Distortion Correction in Electrical Circuits with Constant
Resistance Recurrent Networks" in the Bell System Tech. Journal in
1928. (Good luck getting your hands on a copy of that!) Google
"Zobel network" for more information - and much disinformation, too.
73,
Tom Donaly, KA6RUH