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#1
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![]() K7ITM wrote: cascaded. Each was 1uH series, followed by 100pF shunt to ground. I put a 100 ohm load on one end and fed the other end with a 2.5MHz sine wave with 100 ohms source resistance. Sqrt(LC) is 10 nanoseconds per section, so I expect 100 nanoseconds total delay, or 90 degrees at 2.5MHz. That's what I saw. Then I added unity coupling among all the coils, and to keep the same net inductance, I decreased each inductor to 100nH. The result was STILL very close to a 90 degree phase shift, with a small loss in amplitude. In each case, the current in each successive inductor shifts phase by about 1/10 the total. Although the simulation is less than a perfect match to a completely distributed system with perfect flux linkage (and just how you do that I'm not quite sure anyway...), but it's close enough to convince me that perfect flux linkage would not prevent behaviour like a transmission line, given the requisite distributed capacitance. Thanks Tom, That's very interesting. My thought is the difference in phase-of-current at each of the inductor would be affected by mutual coupling, with perfect coupling preventing phase differences in current, but maybe that is shortsighted. I'll have to think about that a while and how it might affect what I am saying. 73 Tom |
#2
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The phase shift in degrees, along a coil or any other sort of
transmission line, is fixed rigidly by its physical dimensions and test frequency. Phase shift is entirely independent of the way it is used, the circuit it is in and the circuit currents which flow. ---- Reg. G4FGQ |
#3
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Of course, that's blatantly false, taken literally. A 2" diameter 10"
long solenoid coil coaxially inside a 2.5" ID grounded conductive tube will not have the same phase shift as the identical coil inside a 5" ID grounded conductive tube, and neither will behave the same as the same coil included as a loading coil in Cecil's mobile antenna. It won't even have the same inductance in each case. Before you say, "Give us a break, Tom. Of course it won't and clearly that's not what was meant," just consider how literally both the posters and the lurkers here take things. AND in fact, as shown in the simulation I just reported on, the coupling between that coil and the magnetic fields of other nearby components does affect the performance of that coil. In general, when the fields, electric and magnetic, around any component interact with their environment, a change in that environment will change the behaviour of the component. Thankfully, we have a lot of components where that effect is minimal at the frequencies of interest, but we do need to take note of cases where the effect is important. I DAILY work with tiny components that DO behave differently, depending on their environment. At several GHz, seemingly small couplings can be very important. Cheers, Tom |
#5
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Cecil Moore wrote:
wrote: I'll have to think about that a while and how it might affect what I am saying. (snip) So here's the EZNEC example and an experiment that any properly equipped person can duplicate. That includes you and W7EL. I took W7EL's EZNEC file and changed wire #203 from 0.25' to 31.25'. At the 'tip' of the antenna, I installed a 439.2 ohm load that turns the antenna into a 90 degree long *traveling-wave* antenna. Note that the current magnitude at the top of the coil is identical to the current magnitude through the load resistor. The load resistor's value is very close to the calculated Z0 of the 31' #16 wire two feet above ground, using the formula for a single wire transmission line above ground. The graphic is at http://www.qsl.net/w5dxp/test316y.GIF The EZNEC file can be downloaded from: http://www qsl.net/w5dxp/test316y.EZ (snip) Excellent! Can you use this example, with varying frequency to explore your assertion that the time delay (frequency times phase shift) of the coil varies little over a significant range of frequencies up to self resonance, and that that delay is about 1/4 cycle of the self resonant frequency? A graph of delay versus frequency would be useful. It should show over what frequency range the coil acts mostly like a transmission line and where it acts mostly like something else (i.e. inductor, parallel resonant tank). |
#6
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John Popelish wrote:
Can you use this example, with varying frequency to explore your assertion that the time delay (frequency times phase shift) of the coil varies little over a significant range of frequencies up to self resonance, and that that delay is about 1/4 cycle of the self resonant frequency? I will do that when my energy level returns after getting home at 2 am this morning. Note that anyone can download the EZNEC file from http://www.qsl.net/w5dxp/test316y.EZ A graph of delay versus frequency would be useful. It should show over what frequency range the coil acts mostly like a transmission line and where it acts mostly like something else (i.e. inductor, parallel resonant tank). This coil, operated below its self-resonant frequency, has phase shift of 15.68 degrees or ~0.044 wavelength (delay of 7.4 nS). Dr. Corum says anything over 15 degrees requires the distributed network model. 15 degrees will transform 50 ohms to 54+j120 ohms, causing SWR to be erroneously reported as 7:1 instead of 1:1. That sounds like too large an error to me. Since the lumped-circuit model assumes a delay of zero, i.e. faster than light, seems the use of the lumped-circuit model results in 100% error, or infinite error if one calculates it the other way. :-) BTW, one of the principles on the other side of the argument sent me a file with a worm in it. I guess he wanted to extend the silence caused by my trip by bringing down my computer. -- 73, Cecil http://www.qsl.net/w5dxp |
#7
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Cecil Moore wrote:
This coil, operated below its self-resonant frequency, has phase shift of 15.68 degrees or ~0.044 wavelength (delay of 7.4 nS). Dr. Corum says anything over 15 degrees requires the distributed network model. 15 degrees will transform 50 ohms to 54+j120 ohms, causing SWR to be erroneously reported as 7:1 instead of 1:1. That sounds like too large an error to me. Since the lumped-circuit model assumes a delay of zero, i.e. faster than light, seems the use of the lumped-circuit model results in 100% error, or infinite error if one calculates it the other way. :-) Not if the lumped inductor model includes lumps of capacitance that represent the strays to ground. Lumped LC networks exhibit phase shift, also. BTW, one of the principles on the other side of the argument sent me a file with a worm in it. I guess he wanted to extend the silence caused by my trip by bringing down my computer. Never blame malice when ignorance will suffice. Even if you are wrong, you will sleep better. |
#8
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John Popelish wrote:
Not if the lumped inductor model includes lumps of capacitance that represent the strays to ground. Lumped LC networks exhibit phase shift, also. But please remember the original assertions by the gurus. There is ZERO phase shift through an inductor. There is ZERO amplitude change through an inductor. This can easily be proven by observing the lumped inductances in EZNEC. W7EL shot down those arguments by installing the helix feature in EZNEC. :-) Never blame malice when ignorance will suffice. If this person has to confess between ignorance and malicious behavior, I am sure he would go to jail rather than admit any ignorance. -- 73, Cecil http://www.qsl.net/w5dxp |
#9
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John Popelish wrote:
Can you use this example, with varying frequency to explore your assertion that the time delay (frequency times phase shift) of the coil varies little over a significant range of frequencies up to self resonance, and that that delay is about 1/4 cycle of the self resonant frequency? Please don't put words in my mouth. What I have previously said is that the delay can be *ROUGHLY* calculated using the self- resonant frequency. I said something about +/- 50% accuracy. Here's what EZNEC reports as the phase shift through the coil in the traveling wave antenna previously tested at 5.89 MHz. 5.5 MHz: 14.1 deg, 5.89 MHz: 15.7 deg, 6 MHz: 16.2 deg, 7 MHz: 21.4 deg, 8 MHz: 29.5 deg, 9 MHz: 45.9 deg, 10 MHz: 89 deg, 11 MHz: 141.4 deg, 12 MHz: 163.0 deg, 13 MHz: 172.3 deg, 13.7 MHz: 183.82 deg. The linear delay calculation is off by 59%, not too far from my 50% rough estimate. Please note that the above values of delays reported by EZNEC are nowhere near the 3 nS measured by W8JI in the standing wave environment. -- 73, Cecil http://www.qsl.net/w5dxp |
#10
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On Sun, 26 Mar 2006 17:21:17 GMT, Cecil Moore
wrote: I said something about +/- 50% accuracy. The linear delay calculation is off by 59%, not too far from my 50% rough estimate. error is growing faster than the national debt. ;-) nowhere near the 3 nS measured by W8JI in the standing wave environment. On Sun, 26 Mar 2006 16:39:57 GMT, Cecil Moore wrote: delay of 7.4 nS Hmm, giving Tom the same grace of 59% reveals that the figures above, 7.4nS ±59% (4.4 - 11.77) and 3nS ±59% (1.77 - 4.77) overlap. The thing about error (especially when it is in a growth mode indicating loss of control over the experiment) is that you don't know where within the band of possible values that the actual value resides. So, comparing the one to the other, making a claim that the other is invalid, must necessarily invalidate both as they are convergent. Such is the legacy of poor quality control. It might be tempting to perform a Hail Mary save, by suddenly declaring they are both right. :-) but at 59% error, we can all agree that's a fantasy. Stretching your tolerance for error to fit your argument can lead to any conclusion. |
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