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#1
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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 |
#2
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![]() Roy Lewallen wrote: 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. and more important to this discussion, you don't need standing waves or antennas. For any given load impedance, it behaves the same way. It's a shame Cecil misses that point, and thinks it is standing waves that affect the system. 73 Tom |
#3
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Roy Lewallen wrote:
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. Oh. Then never mind. :-) |
#4
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Roy Lewallen wrote:
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. Are you admitting that a 75m bugcatcher behaves like a transmission line? -- 73, Cecil http://www.qsl.net/w5dxp |
#5
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EVERYTHING has Inductance, Capacitance and Resistance, and therefore
behaves as a transmission line. ---- Reg, G4FGQ |
#6
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EVERYTHING????
I thought there is/was a restriction that "Everything" must include "a significant portion of a wavelength". :-) Reg Edwards wrote: EVERYTHING has Inductance, Capacitance and Resistance, and therefore behaves as a transmission line. ---- Reg, G4FGQ |
#7
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Dave wrote:
I thought there is/was a restriction that "Everything" must include "a significant portion of a wavelength". :-) A lumped-circuit inductance is *NEVER* a significant portion of a wavelength, by definition and presupposition. That's the argument being put forth by the lumped-circuit gurus. :-) -- 73, Cecil http://www.qsl.net/w5dxp |
#8
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![]() I thought there is/was a restriction that "Everything" must include "a significant portion of a wavelength". =================================== There are no problems. A very short coil behaves as a very short transmission line. ---- Reg. |
#9
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Reg Edwards wrote:
I thought there is/was a restriction that "Everything" must include "a significant portion of a wavelength". =================================== There are no problems. A very short coil behaves as a very short transmission line. ---- Reg. I'm glad to know that I can substitute a coil of wire every time I need a transmission line. So tell me, Reg, what are the specs on the coil I'd need to make a transmission line transformer to match 75 ohms to 325.33 ohms? 73, Tom Donaly, KA6RUH |
#10
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Reg Edwards wrote:
I thought there is/was a restriction that "Everything" must include "a significant portion of a wavelength". =================================== There are no problems. A very short coil behaves as a very short transmission line. ---- Reg. C'mon Reg! We both know that a 1/4 inch diameter loop is NOT a transmission line at 0.1 MHz. :-0 |
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