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#2
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Cecil, W5DXP wrote:
"Please explain why a centuries old method of determining phase shift through a coil by measuring its self-resonant frequency is not good enough for you?" A coil is an RLC circuit. At resonance, L offsets C and all that is left is R. In a resistance, the current is in-phase with the applied voltage. But, in a physical length of a tuned circuit or in a straight conductor in its place, in a circuit with reflections, you have energy coming from both directions creating an interference pattern, which is repeated every 1/2-wave (180-degrees) in the line Peaks are 1/2-wave apart, considering the velocity factor of the line. To determine the phase shift, count the maxima. The wavelength of a line is the distance a wave must travel for one complete cycle (360-degrees). If you want the phase shift for a line, take the length of line required for one degree of phase retardation and multiply it by the length of line you have. Best regards, Richard Harrison, KB5WZI |
#3
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Richard Harrison wrote:
The wavelength of a line is the distance a wave must travel for one complete cycle (360-degrees). If you want the phase shift for a line, take the length of line required for one degree of phase retardation and multiply it by the length of line you have. If you want to know the velocity factor of a piece of transmission line, the easiest thing to do is find its first self-resonant frequency. A little math will yield the VF which allows prediction of the phase shift through any reasonable length of tranmission line. If you want to know the velocity factor of a coil, the easiest thing to do is find its first self- resonant frequency. A little math will yield the VF of the coil which allows prediction of the phase shift through any reasonable length of coil. Not disagreeing - just expanding. -- 73, Cecil http://www.qsl.net/w5dxp |
#4
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Cecil Moore wrote:
If you want to know the velocity factor of a piece of transmission line, the easiest thing to do is find its first self-resonant frequency. A little math will yield the VF which allows prediction of the phase shift through any reasonable length of tranmission line. If you want to know the velocity factor of a coil, the easiest thing to do is find its first self- resonant frequency. A little math will yield the VF of the coil which allows prediction of the phase shift through any reasonable length of coil. If the inductor in question does not take much advantage of mutual induction across its length nor has much capacitance across its length (say, a straight conductor, strung with ferrite toroids), then I can see the similarity with a transmission line. But as the inductor approaches a lumped inductance with significant inter winding capacitance and mutual inductance coupling the current across a significant part of its winding length, I see on reason to assume the transmission line method (delay independent of frequency) strictly applies. It might, but it would take more than you saying so to assure me that it is a fact. In other words, transmission line concepts like uniform inductance per length and uniform capacitance per length get rather muddled in a real inductor. |
#5
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John Popelish wrote:
If the inductor in question does not take much advantage of mutual induction across its length nor has much capacitance across its length (say, a straight conductor, strung with ferrite toroids), then I can see the similarity with a transmission line. But as the inductor approaches a lumped inductance with significant inter winding capacitance and mutual inductance coupling the current across a significant part of its winding length, I see on reason to assume the transmission line method (delay independent of frequency) strictly applies. It might, but it would take more than you saying so to assure me that it is a fact. In other words, transmission line concepts like uniform inductance per length and uniform capacitance per length get rather muddled in a real inductor. Tom W8JI posted a good description and summary of inductor operation a little while ago, but it looks like it could bear repeating, perhaps with a slightly different slant. In a transmission line, a field at one end of the line requires time to propagate to the other end of the line. As the EM fields propagate, they induce voltages and currents further down the line, which create their own EM fields, and so forth. These propagating fields and the currents and voltages they produce make the whole concept of traveling voltage and current waves useful and meaningful. But in a tightly wound inductor, a field created by the current in one turn is coupled almost instantly to all the other turns (presuming that the coil is physically very small in terms of wavelength). Consequently, output current appears very quickly following the application of input current. The propagation time is nowhere near the time it would take for the current to work its way along the wire turn by turn. Once again it's necessary to point out that I'm speaking here of an inductor which has very good coupling between turns and minimal field leakage or radiation, for example a toroid. If you make an air wound inductor and slowly stretch it out until it's nothing more than a straight wire, it'll begin by resembling the toroid -- more or less, depending on how well coupled the turns are and how much its field interacts with the outside world -- then slowly change its characteristics to resemble a straight wire. There's no magic transition point. So by choosing the inductor, you can observe behavior anywhere along this continuum. Roy Lewallen, W7EL |
#6
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Roy Lewallen wrote:
But in a tightly wound inductor, a field created by the current in one turn is coupled almost instantly to all the other turns ... "All the other turns"? Here's what Jim Lux, W6RMK, had to say about that: "For inductance the signficant thing is that the magnetic field of one segment pretty much links to the adjacent segments, and less so for the rest." Less to the 3rd, less than that to the 4th, even less than that to the 5th. What do you think it might be by the time it gets to the 80th turn on Tom's coil? Seems that we can assume that the linkage between coil #1 and coil #80 is negligible. Once again it's necessary to point out that I'm speaking here of an inductor which has very good coupling between turns and minimal field leakage or radiation, ... So was W6RMK. There's no magic transition point. Indeed there isn't. I repeat, in case your didn't understand - indeed there isn't. So you can discard your magic lumped- circuit model for a system containing reflections. -- 73, Cecil http://www.qsl.net/w5dxp |
#7
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John Popelish wrote:
... I see no reason to assume the transmission line method (delay independent of frequency) strictly applies. It might, but it would take more than you saying so to assure me that it is a fact. Assume the environment of the coil is fixed like the variable stinger measurement I reported earlier. Besides the frequency term, the phase constant depends upon L, C, R, and G as does the Z0 equation. Why would the L, C, R, and G change appreciably over a relatively narrow frequency range as in my bugcatcher coil measurements going from 6.7 MHz to 3.0 MHz? And I didn't mean to imply that the delay is "independent" of frequency, just that it is not nearly as frequency dependent as Tom's measurements would suggest. If Tom made his measurements from 1 MHz to 16 MHz, what do you think the curve would look like? Freq 1 2 4 8 16 MHz Delay ___ ___ 3 ___ 16 nS That looks non-linear to me. How about you? -- 73, Cecil http://www.qsl.net/w5dxp |
#8
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Cecil Moore wrote:
John Popelish wrote: ... I see no reason to assume the transmission line method (delay independent of frequency) strictly applies. It might, but it would take more than you saying so to assure me that it is a fact. Assume the environment of the coil is fixed like the variable stinger measurement I reported earlier. Besides the frequency term, the phase constant depends upon L, C, R, and G as does the Z0 equation. Why would the L, C, R, and G change appreciably over a relatively narrow frequency range as in my bugcatcher coil measurements going from 6.7 MHz to 3.0 MHz? We are not talking about L, C, R, or any other inherent property changing with frequency. We are talking about the delay of a current wave in a single direction (anybody have a pair of directional coupler current probes?) through a complex component that has several different mechanisms that contribute to the total current passing through it. It is the vector sum (superposition) of those current components that is in question. Over a narrow frequency range, it is conceivable to me, that the phase (delay) of that sum might shift, dramatically, though any component of that sum might change its magnitude only slightly (no faster than in proportion to the frequency), and the phase of that component might change not at all. And I didn't mean to imply that the delay is "independent" of frequency, just that it is not nearly as frequency dependent as Tom's measurements would suggest. If Tom made his measurements from 1 MHz to 16 MHz, what do you think the curve would look like? Freq 1 2 4 8 16 MHz Delay ___ ___ 3 ___ 16 nS That looks non-linear to me. How about you? Definitely nonlinear, just like impedance is very nonlinear as the frequency passes through any resonance. This is why I am suspicious of a measurement made at resonance, being extrapolated to non resonant conditions. |
#9
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John Popelish wrote:
We are not talking about L, C, R, or any other inherent property changing with frequency. The velocity factor of the coil is based on those quantities and can be calculated. The velocity factor of a transmission line is based on those quantities and can be calculated. Freq 1 2 4 8 16 MHz Delay ___ ___ 3 ___ 16 nS That looks non-linear to me. How about you? Definitely nonlinear, just like impedance is very nonlinear as the frequency passes through any resonance. Care to fill in the blanks above? This is why I am suspicious of a measurement made at resonance, being extrapolated to non resonant conditions. Self-resonance is simply where the round trip delay through the coil puts the forward and reflected voltages and the forward and reflected currents either at zero degrees or 180 degrees. That's what happens at an open-ended 1/4WL stub. That's also what happens at the feedpoint of a resonant standing wave antenna like a 75m mobile bugcatcher antenna. Resonant mobile antennas are "self-resonant antenna systems". -- 73, Cecil http://www.qsl.net/w5dxp |
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