Current through coils
John Popelish wrote:
. . .
Of course, it can't. But a lumped LC network made of perfect, ideal
components can be constructed that mimic the terminal conditions of the
coil in question to any degree of accuracy desired. The caveat is that
you may not explore much of a frequency range if you expect this
idealized model to remain a good mimic. At another frequency, you have
to rebuild it to copy the effects at that frequency. The broader the
frequency range of such a model, the more complexity it must have.
Yes, but you can use an arbitrarily large number of sections, each with
a small amount of L and C, and mimic a transmission line to any desired
degree, over any frequency range you want. And all with zero physical
size in the theoretical case, and arbitrarily small physical size in the
practical case. In the limit of an infinite number of sections of
vanishingly small L and C each, you arrive at the general equations for
a transmission line, valid at all frequencies.
The point I'm trying to make is that you don't need any particular
physical size or any particular length of wire to make something that
behaves like a transmission line to any degree of accuracy.
Roy Lewallen, W7EL
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