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Current through coils
Cecil Moore wrote:
Richard Clark wrote: Provide the Velocity Factor and Characteristic Impedance per the formulas you offered: Tom Donaly has graciously volunteered to provide those values. Please stand by. Actually, I just wanted to calculate the values for my own personal edification. You'll have to do the arithmetic yourself, Cecil, and then it won't mean much, because, as far as I know, no one has ever done any experimental work to see if these equations have any meaning. If a coil can slow down an electromagnetic wave as much as these equations say it can, though, it qualifies as a very interesting device. 73 Tom Donaly, KA6RUH |
Current through coils
Tom Donaly wrote: If a coil can slow down an electromagnetic wave as much as these equations say it can, though, it qualifies as a very interesting device. Tom, Here's another way to think about it. If an inductor by itself delayed phase as much as Cecil claims, we could build a phase or time delay system with only a large inductor. As it is, we must always use a network of capacitors and inductors to obtain phase delays or a transmission line of any substantial delay. To construct a delay line, either a small parallel wire line is used or a spiral around a metal core. The metal core acts like a shorted turn and reduces flux coupling, and adds distributed capacitance to ground. 73 Tom |
Current through coils
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Current through coils
On Wed, 15 Mar 2006 15:38:32 -0800, Roy Lewallen
wrote: Many analog scopes aren't capable of producing a meaningful Lissajous figure at HF because of the limited bandwidth of the horizontal channel. This is certainly true for poor scopes. If we are limited to HF, then those with bandwidths above 100MHz might squeak by. However, there are alternatives that were part and parcel to many older scopes: you simply drive the plates directly like they did in the old days (1930s) before the plates were driven by dedicated amplifier chains. I have calibrated such old (very old) scopes that operated well out into the 100s of MHz, but were often accompanied by a necessary accessory, a microscope. 73's Richard Clark, KB7QHC |
Current through coils
On Wed, 15 Mar 2006 22:42:55 GMT, Cecil Moore wrote:
The VF of my 75m bugcatcher coil calculates out to be VF = 0.0175 at 6.6 MHz On Fri, 10 Mar 2006 13:35:14 GMT, Cecil Moore wrote: I'm willing to bet that my 75m bugcatcher coil has at least a 40 nanosecond delay on 4 MHz which is a 60 degree current phase shift. On Wed, 15 Mar 2006 18:03:28 GMT, Cecil Moore wrote: The coil data is: ~6" dia, ~6.7" long, 26.5 T, seems very close to 4 TPI. Looks to be #14 solid wire. Total turns 26.5 Through total turns, total wire appears to be 505" With nothing offered in the way of inductance, from calculations it appears to be 72.9 µH With nothing offered in the way of distributed capacitance, from calculations it appears to be 8pF On Tue, 14 Mar 2006 04:09:08 +0000 (UTC), "Reg Edwards" wrote: V = 1 / Sqrt( L * C ) metres per second, where L and C are henrys and farads per metre respectively. The formula for L and C can be found in your Bibles from coil dimensions, numbers of turns, etc. V = 1 / Sqrt (5.88 * 72.9* 10^-6 * 8 * 10^-12) meters per second where the 5.88 is to correct for per meter computations it follows that V must then be 17.1 million meters per second The velocity factor = V / c Vf = 0.057 and Zo = Sqr( L / C ). Zo = Sqrt (72.9* 10^-6 / 8 * 10^-12) 3 KOhms It appears your reference source leads you to an answer that is off by 325% OR Reggies' hints of a solution are in error OR I've pencil whipped this to death due to the tedious collection of data spread through 300 postings and the chain of computation. I will leave that to other, less lazy individuals to ponder. OR This is simply proof of an exercise in futility through the misapplication of the theory of transmission lines to lumped components. It is quite apparent something's broke, but if the correspondence descends into theory, it will be that theory is broke. There's enough quantifiables to come to terms with before any theory is proven. |
Current through coils
Richard Clark wrote:
On Wed, 15 Mar 2006 15:38:32 -0800, Roy Lewallen wrote: Many analog scopes aren't capable of producing a meaningful Lissajous figure at HF because of the limited bandwidth of the horizontal channel. This is certainly true for poor scopes. If we are limited to HF, then those with bandwidths above 100MHz might squeak by. . . Either you missed my point, or we differ on what constitutes a "poor" scope. The Tektronix 465, for example, is a 100 MHz scope. Although it's very long in the tooth now, it's not a "poor" scope by most measures. But the specifications for X-Y display are as follows: ------ 5 mV/div to 5 V/div, accurate ± 4%. Bandwidth is dc to at least 4 MHz. Phase difference between amplifiers is 3° or less from dc to 50 kHz. ------ This wouldn't produce a meaningful Lissajous figure at HF. Roy Lewallen, W7EL |
Current through coils
Richard Clark wrote:
On Wed, 15 Mar 2006 22:42:55 GMT, Cecil Moore wrote: The VF of my 75m bugcatcher coil calculates out to be VF = 0.0175 at 6.6 MHz On Fri, 10 Mar 2006 13:35:14 GMT, Cecil Moore wrote: I'm willing to bet that my 75m bugcatcher coil has at least a 40 nanosecond delay on 4 MHz which is a 60 degree current phase shift. On Wed, 15 Mar 2006 18:03:28 GMT, Cecil Moore wrote: The coil data is: ~6" dia, ~6.7" long, 26.5 T, seems very close to 4 TPI. Looks to be #14 solid wire. Total turns 26.5 Through total turns, total wire appears to be 505" With nothing offered in the way of inductance, from calculations it appears to be 72.9 µH With nothing offered in the way of distributed capacitance, from calculations it appears to be 8pF On Tue, 14 Mar 2006 04:09:08 +0000 (UTC), "Reg Edwards" wrote: V = 1 / Sqrt( L * C ) metres per second, where L and C are henrys and farads per metre respectively. The formula for L and C can be found in your Bibles from coil dimensions, numbers of turns, etc. V = 1 / Sqrt (5.88 * 72.9* 10^-6 * 8 * 10^-12) meters per second where the 5.88 is to correct for per meter computations it follows that V must then be 17.1 million meters per second The velocity factor = V / c Vf = 0.057 and Zo = Sqr( L / C ). Zo = Sqrt (72.9* 10^-6 / 8 * 10^-12) 3 KOhms . . . This is a misapplication of transmission line formulas. The "C" in those formulas is the shunt capacitance per unit length between the conductors, not a series or longitudinal capacitance as used here. In order to use the transmission line formulas, you have to have a second conductor and determine the C per unit length between the two conductors. Otherwise, you (or Cecil) have to come up with some other equations. Some of the more picky of us readers will of course then ask for the source and/or derivation of those other equations. Roy Lewallen, W7EL |
Current through coils
Tom Donaly wrote:
Actually, I just wanted to calculate the values for my own personal edification. You'll have to do the arithmetic yourself, Cecil, and then it won't mean much, because, as far as I know, no one has ever done any experimental work to see if these equations have any meaning. There are references for it in the Dr. Corum IEEE paper. Kandoian and Sichak, "Wide Frequency Range Tuned Helical Antennas and Circuits," Electrical Communications, Vol 30, 1953, pp. 294-299. It was published while I was in high school. If a coil can slow down an electromagnetic wave as much as these equations say it can, though, it qualifies as a very interesting device. I studied such 50 years ago at Texas A&M from papers such as the above. The parameters for a transmission line or a coil are the same just with different values. -- 73, Cecil http://www.qsl.net/w5dxp |
Current through coils
Richard Clark wrote:
A lumped circuit has only one resonance. A transmission line has an infinite number. It certainly isn't necessary to impose a strict test of this. Finding second, third, and fourth harmonics for an inductor, in situ, would certainly be compelling evidence of transmission line behavior. Using the same coil stock as W8JI's 100uH coil, I just set up a 50 uH coil on a mag mount sitting on my metal desk. Its first solid resonance was 9 MHz (1/4WL), its second solid resonance was 27 MHz (3/4WL), and its third solid resonance was 45 MHz (5/4WL). In addition to those, there other soft spots and double dips along the frequency line. W8JI reported something happening at 24 MHz as well as self- resonance at 16 MHz. He was apparently not testing it over a ground plane like an automobile body. That automobile ground plane drops the VF much lower than an isolated coil's VF. -- 73, Cecil http://www.qsl.net/w5dxp |
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