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Current across the antenna loading coil - from scratch
OK, I have been accused of being wrong, claiming that current across the
antenna loading coil is or can be different at its ends. I and "my camp" say that we are seeing somewhere 40 to 60 % less current at the top of the coil, than at the bottom, in other words, significant or noticeable drop. W8JI and "his camp" are claiming it can't be so, current through the coil has to be the same or almost the same, with no significant drop across the loading coil. Let's start the fresh thread and trace step by step where I went wrong. Just reminder that we are talking typical situations, as for example real 40 m (or 80 m) mobile whip with loading coil about 2/3 up the radiator. We are talking about resonant electrical quarter wave monopole. We are talking about standing wave RF current that can be measured with RF ammeter and is shown and plotted in modeling programs like EZNEC. Here we go: wrote in message Let's focus on one thing at a time. You claim a bug cather coil has "an electrical length at 4MHz of ~60 degrees". That concept is easily proven false, just like the claim a short loaded antenna is "90-degree resonant". Both can be shown to be nonsense pictures of what is happening. Assume I have a 30 degree long antenna. If the loading inductor is 60 electrical degrees long, I could move it anyplace in that antenna and have a 90 degree long antenna. We all know that won't happen, so what is it you are really trying to say? 73 Tom OK lets get me some educating here. I understand that, say quarter wave resonant vertical (say 33 ft at 40m) has 90 electrical degrees. Is that right or wrong? The current distrubution on said (full size) vertical is one quarter of the wave of 360 deg. which would make it 90 degrees. Max current is at the base and then diminishes towards the tip in the cosine function down to zero. Voltage distribution is just opposite, min at the base, feed point and max at the tip. EZNEC modeling shows that to be the case too. Is that right or wrong? If we stick them end to end and turn horizontal, we get dipole, which then would be 180 deg. "long" or "180 degrees resonant". If not, what is the right way? If I insert the coil, say about 2/3 up (at 5 ft. from the bottom) the shortened vertical, I make the coil size, (inductance, phys. dimensions) such that my vertical will shrink in size to 8 ft tall and will resonate at 7.87 MHz. I learned from the good antenna books that this is still 90 electrical "resonant" degrees. Maximum of current is at the feed point, minimum or zero at the tip. If you stick those verticals (resonant) end to end and horizontal, you get shortened dipole, with current distribution equal to 180 degrees or half wave. Max current at the feed point, minima or zero at the tips. (RESONANT radiator) How many electrical degrees would that make? How do you arrive at that? Why is this a nonsense? Can we describe "pieces" or segments of the radiator as having proportional amount of degrees corresponding to their physical length, when excited with particular frequency? If I can be enlightened about this, we can go then to the next step. Answers, corrections please. Yuri, K3BU |
Current across the antenna loading coil - from scratch
On Thu, 23 Mar 2006 12:50:32 -0500, "Yuri Blanarovich"
wrote: Let's start the fresh thread and trace step by step where I went wrong. Hi Yuri, Are you then abandoning your web page? You know, it would seem to be better effort to stick with the demonstrables there and to make sense of them, than to wander the intellectual landscape of "theory." OK lets get me some educating here. I understand that, say quarter wave resonant vertical (say 33 ft at 40m) has 90 electrical degrees. Is that right or wrong? If you cannot define your limits of error, then Cecil is bound to do it for you and plug in +/- 50% to make any assertion laughable, such as: Can we describe "pieces" or segments of the radiator as having proportional amount of degrees corresponding to their physical length, when excited with particular frequency? You've left too many things out to agree to more than a rather insubstantial maybe. If that's sufficient, then there's really no need to go any further, is there? 73's Richard Clark, KB7QHC |
Current across the antenna loading coil - from scratch
Yuri wrote,
" I and "my camp" say that we are seeing somewhere 40 to 60 % less current at the top of the coil, than at the bottom, in other words, significant or noticeable drop. W8JI and "his camp" are claiming it can't be so, current through the coil has to be the same or almost the same, with no significant drop across the loading coil. " I'm not sure who all you put in W8JI's "camp," but I'm absolutely sure that I've read recent postings by W8JI himself that affirm that there can be significant difference in current between the ends of the loading coil. What I DO see him posting is that if the difference is large, the antenna design is almost certainly suboptimal. If you want to understand how a loading coil with zero capacitance to the outside world can actually work, I suggest you read the Joseph Boyer article from "Ham Radio" magazine some 28 years ago. Ian White gave a more complete reference to that article in one of his postings in the interminable thread. I'm always happy to ship out a copy of that article for the cost of postage. Cheers, Tom |
Current across the antenna loading coil - from scratch
Yuri, you have neglected at least one important unit of measu namely,
the action integral of the 'active antenna' times the current [ampere*degrees]. For simplicity, assume a constant one ampere is flowing in a physical 15 degree antenna. The answer is 15 ampere*degrees. In a true 1/4 wavelength antenna the answer is 90 ampere*degrees. The shortened antenna is [=] a tuned 15 degree antenna NOT a 90 degree antenna!! In a real shortened antenna, the base current may be assumed, to a first approximation, as constant from the base to the loading coil. If that portion of the antenna is 10 degrees, then 10 ampere*degrees is the action integral. The current in the top section can be assumed linear from the value at the top of the coil to the tip where I=0. This is a triangle [or a sin function that is close to linear] that can solve to two possible values. The first is based on one ampere exiting the top of the coil and the solution is 1/2*1 ampere*5 degrees = 2.5 ampere degrees. The second is based on a sinusoidal distribution from the tip to the 5 degree point at the top of the coil where the current is 0.087 ampere. [The sin of 5 degrees is 0.087.] So, the action integral is 1/2*0.087 amperes*5 degrees = 0.218 ampere*degrees. The practical application deals with the efficiency of the antenna. Is that tuned 15 degree long antenna a 12.5 ampere degree antenna; or, is it a 10.218 ampere degree antenna? [That's approximately a difference of 1 dB in antenna performance.] The discussion here for the past three infinities is: What is happening inside the tuning coil? Is there a change in current amplitude? If so, please explain the physics. Is there no change in current amplitude? If so, please explain the physics. The coil is physically less than one degree in length, but contains enough wire to be a significant portion of a wavelength. Interwinding capacitance and distributed inductance can make the coil look like a transmission line. The flux density from each turn in an air core coil construction diverges as one progresses along the coil [the flux density at turn #2 is higher than at turn #60 for example]. Restated, there is a leakage inductance along the coil. The flux density has a propagation time in free space of approximately 0.5E-9 seconds. Is this significant? [I don't think so] In the tuning coil there exists an interwinding capacitance and a capacitance to "structure" [whatever that is]. In 1958, my college days, we were instructed to ignore the coil and solve the antenna as two separate sections with an infinitesimal gap at the junction. I never liked that model then and I don't like it today! [It still allows two solutions][We were instructed that the current is constant]. So, we have two well entrenched positions: the current does not change in the coil, and, the current changes in the coil. Like World War I, it is trench warfare with much bloodshed [reputation] on both sides. Due to leakage inductance, I suspect that the current does change within the air core coil but the change is much less than that implied by the simple sin wave distribution [sin 5 degrees] used above. Below the coil the H field dominates. Above the coil the E field dominates. The transition from E to H occurs across [within] the coil. That leads me to conclude that there is a change of current within the coil. In any event, the 15 degree antenna is still a 15 degree antenna! The question is: what about that 1 dB difference in the modeling analysis? This simple engineer is still unconcerned about one dB difference and it's impact on antenna gain. If the science side of this discussion can't agree, then I'll simply continue to operate mobile and not worry if my signal is one dB stronger or weaker at the receiving end of the path!! It is what it is!! # # # Yuri Blanarovich wrote: OK, I have been accused of being wrong, claiming that current across the antenna loading coil is or can be different at its ends. I and "my camp" say that we are seeing somewhere 40 to 60 % less current at the top of the coil, than at the bottom, in other words, significant or noticeable drop. W8JI and "his camp" are claiming it can't be so, current through the coil has to be the same or almost the same, with no significant drop across the loading coil. Let's start the fresh thread and trace step by step where I went wrong. Just reminder that we are talking typical situations, as for example real 40 m (or 80 m) mobile whip with loading coil about 2/3 up the radiator. We are talking about resonant electrical quarter wave monopole. We are talking about standing wave RF current that can be measured with RF ammeter and is shown and plotted in modeling programs like EZNEC. Here we go: wrote in message Let's focus on one thing at a time. You claim a bug cather coil has "an electrical length at 4MHz of ~60 degrees". That concept is easily proven false, just like the claim a short loaded antenna is "90-degree resonant". Both can be shown to be nonsense pictures of what is happening. Assume I have a 30 degree long antenna. If the loading inductor is 60 electrical degrees long, I could move it anyplace in that antenna and have a 90 degree long antenna. We all know that won't happen, so what is it you are really trying to say? 73 Tom OK lets get me some educating here. I understand that, say quarter wave resonant vertical (say 33 ft at 40m) has 90 electrical degrees. Is that right or wrong? The current distrubution on said (full size) vertical is one quarter of the wave of 360 deg. which would make it 90 degrees. Max current is at the base and then diminishes towards the tip in the cosine function down to zero. Voltage distribution is just opposite, min at the base, feed point and max at the tip. EZNEC modeling shows that to be the case too. Is that right or wrong? If we stick them end to end and turn horizontal, we get dipole, which then would be 180 deg. "long" or "180 degrees resonant". If not, what is the right way? If I insert the coil, say about 2/3 up (at 5 ft. from the bottom) the shortened vertical, I make the coil size, (inductance, phys. dimensions) such that my vertical will shrink in size to 8 ft tall and will resonate at 7.87 MHz. I learned from the good antenna books that this is still 90 electrical "resonant" degrees. Maximum of current is at the feed point, minimum or zero at the tip. If you stick those verticals (resonant) end to end and horizontal, you get shortened dipole, with current distribution equal to 180 degrees or half wave. Max current at the feed point, minima or zero at the tips. (RESONANT radiator) How many electrical degrees would that make? How do you arrive at that? Why is this a nonsense? Can we describe "pieces" or segments of the radiator as having proportional amount of degrees corresponding to their physical length, when excited with particular frequency? If I can be enlightened about this, we can go then to the next step. Answers, corrections please. Yuri, K3BU |
Current across the antenna loading coil - from scratch
Dave wrote:
. . . The practical application deals with the efficiency of the antenna. Is that tuned 15 degree long antenna a 12.5 ampere degree antenna; or, is it a 10.218 ampere degree antenna? [That's approximately a difference of 1 dB in antenna performance.] . . . I believe you're comparing the field strengths from two antennas both driven by the same current. If you drive them with the same power, a more fair comparison, you'll find a negligible difference in field strength. Efficiency is another issue, solely related to losses in the antennas. Without knowing what those losses might be, we can't say anything about the relative efficiency. In practice it'll probably be extremely closely the same also. Roy Lewallen, W7EL |
Current across the antenna loading coil - from scratch
wrote in message
ups.com... This thread belongs back in the original place, so it flows in context. Sorry I had to take a break and lost the place in original place, so lets try to continue here, we are trying to go step by step. Yuri Blanarovich wrote: OK, I have been accused of being wrong, claiming that current across the antenna loading coil is or can be different at its ends. No one said that. So what is it then you claiming being equal. I and "my camp" say that we are seeing somewhere 40 to 60 % less current at the top of the coil, than at the bottom, in other words, significant or noticeable drop. Quit trying to make it a gang war. It is antenna theory, not a bar room brawl with a bunch of drunks. No gang wars intended, just trying to underline that there are two major supporting "camps" claiming that the current has to be equal, or is appreciably different. W8JI and "his camp" are claiming it can't be so, current through the coil has to be the same or almost the same, with no significant drop across the loading coil. I have no camp. You are lifting what I say out of context and deleting important things. What I say, over and over again, is I can build an inductor in a short mobile antenna that has essentially equal currents at each end. A compact loading coil of good design has this type of performance. I can do that too and do not deny it. The current taper across the inductor is not tied to the number of "electrical degrees" the inductor "replaces". It is tied to the distributed capaciatnce of the coil to the outside world in comparison to the termination impedance at the upper end of the coil. That too, but that seems to be minor cause. Lets do it step by step. I will skip agreements so far. The current distrubution on said (full size) vertical is one quarter of the wave of 360 deg. which would make it 90 degrees. Max current is at the base and then diminishes towards the tip in the cosine function down to zero. Voltage distribution is just opposite, min at the base, feed point and max at the tip. EZNEC modeling shows that to be the case too. Is that right or wrong? Right. Although the distributed capacitance can change the shape. It can change the amplitude, but not the shape of the current distribution curve, that is the maximum is at the feed point (zero reactance - resonance) and zero at the tips and follows cosine function. If we stick them end to end and turn horizontal, we get dipole, which then would be 180 deg. "long" or "180 degrees resonant". If not, what is the right way? Right. If I insert the coil, say about 2/3 up (at 5 ft. from the bottom) the shortened vertical, I make the coil size, (inductance, phys. dimensions) such that my vertical will shrink in size to 8 ft tall and will resonate at 7.87 MHz. I learned from the good antenna books that this is still 90 electrical "resonant" degrees. Maximum of current is at the feed point, minimum or zero at the tip. What "good book"? It would help to see the context. Say ARRL Antenna Book, 20th edition, page 16-7, Fig 10 Shows lengths h1 and h2 expressed as 15 deg. eaach. None of my engineering books use electrical degrees except to describe overall antenna height or length. But that relates to describing the antenna properties in relation to resonant frequency for that particular radiator. They might say "60 degree top loaded resonant radiator" but they don't say "60 degree tall radiator 90 degree resonant". If you stick the coil at the base in series with radiator and bring it to resonance (zero reactance at the frequency of interest) what "degree resonant" will than radiator become, if not 90? ("Measured" from the feed point, through the coil and then straight radiator.) There might be a correct context, but I can't think of one off hand. So I need an example from a textbook. If you stick those verticals (resonant) end to end and horizontal, you get shortened dipole, with current distribution equal to 180 degrees or half wave. Max current at the feed point, minima or zero at the tips. (RESONANT radiator) The current distribution would not be the same as a half wave, becuase the antenna is not 1/2 wave long. Well, is 180 degrees half wavelength or not? Is the current maximum at the feedpoint (center) and zero at the end, or not? The current distribution is not the same, but is exhibiting properties of resonant half wave dipole with current max at the center and zero at the tips. The shape is not the smooth continuous cosine curve as in straight dipole, but affected by the loading coils (drops) in their place (subject of disagreement). Can we describe "pieces" or segments of the radiator as having proportional amount of degrees corresponding to their physical length, when excited with particular frequency? Yes. It works fine for length. It does NOT work for loading inductors, it does not work for short antennas which have anything form a uniform distribution to triangular distribution, or any mix between including curves of various slopes. Why not? What happens to cosine current distribution curve when we insert the loading element (inductance, coil, loading stub, resistance) in the radiator? What formula applies to get the uniform or triangular distribution? Can you show some mathematics? So we have resonant standing wave element, that has current max at the feedpoint and zero at the tip, which gives us 90 degree (or 180 with dipole) or quarter wave distribution from the base to the tip. (reality) We can express the straight pieces of radiator in degrees, but not the coiled up piece that the wave has to go through? The "uniform" and "triangular" distribution was used for approximation or simplification of showing the current distribution in short loaded radiators, while they are in reality segments of the cosine curve belonging to length of the straight portions of the radiator. EZNEC shows that, when you magnify the curve you can see there are no uniforms or triangles but a cosine curve. A 30 degree tall antenna with base loading simply has power factor correction at the base, provided the inductor is not a significant fraction of a wavelength long. It is a 30 degree base loaded radiator, not a 90 degree antenna. And the inductor is not 60 degrees long. We are not talking here about base loaded radiator. No detours please. So how many electrical degrees has the quarter wave resonant radiator that is loaded with loading coil (or stub) about 2/3 way up and is say 30 deg. physical "length" to make it resonant? 73 Tom 73 Yuri, K3BU |
Current across the antenna loading coil - from scratch
On Sun, 2 Apr 2006 22:54:10 -0400, "Yuri Blanarovich"
wrote: They might say "60 degree top loaded resonant radiator" but they don't say "60 degree tall radiator 90 degree resonant". If you stick the coil at the base in series with radiator and bring it to resonance (zero reactance at the frequency of interest) what "degree resonant" will than radiator become, if not 90? ("Measured" from the feed point, through the coil and then straight radiator.) Hi Yuri, This must be a convention that is particular to only a very few Hams. The FCC database describes AM antennas in both electrical and physical height as follows. WGOP 80.00° tall 125.2 meters tall 540 kHz WWCS 63.50° tall 98.8 meters tall 540 kHz WFTD 79.00° tall 64.0 meters tall 1080 kHz KYMN 118.60° tall 92.3 meters tall 1080 kHz WWLV 90.00° tall 47.2 meters tall 1620 kHz WTAW 204.00° tall 106.7 meters tall 1620 kHz There may be some discrepancy, but it certainly looks like antenna specification is by the electrical equivalent of the physical height (and whatever l/d fudging) and with only one happening to be 90°. Further, given most references (for professionals) is aimed at a common specification that is largely driven by this agency, it would seem odd to step out of this expectation to change to calling all antennas 90° simply because they resonate. http://www.fcc.gov/mb/audio/amq.html 73's Richard Clark, KB7QHC |
Current across the antenna loading coil - from scratch
On Sun, 2 Apr 2006 22:54:10 -0400, "Yuri Blanarovich"
wrote: So how many electrical degrees has the quarter wave resonant radiator that is loaded with loading coil (or stub) about 2/3 way up and is say 30 deg. physical "length" to make it resonant? Hi Yuri, This is thin ice. If you are treading along the 1:1 replacement of coil (wire-length/phase/Vf/whatever) for missing radiator length; then Cecil is prepared to prove it to within ±59% error. We could call it Cecil's 1.59:0.41 replacement rule - guaranteed to prove just about anything, and to whiten your teeth. 73's Richard Clark, KB7QHC |
Current across the antenna loading coil - from scratch
Yuri Blanarovich wrote: So what is it then you claiming being equal. In a loading coil with very small distributed capaciatnce to the outside world compared to termination impedance, current has to be equal. Phase shift in current at each end has to be nearly zero. This is true for ANY antenna length or loading coil location. This is what everyone was saying. No gang wars intended, just trying to underline that there are two major supporting "camps" claiming that the current has to be equal, or is appreciably different. One group is saying the distributed capacitance of the inductor to the outside world controls the distribution, another group appears to be saying it is a function of electrical degrees the coil makes up. I agree with the majority of people posting in these threads. It is the capacitance from the coil to the outside world that controls current distribution in the inductor and produces and phase difference in CURRENT at each end. If you look at Reg, Ian, Roy, all the Toms, Gene, Richard Clark, and on and on we are all saying that same thing. Richard Harrison, Yuri, and Cecil seem to argue against that, but that is how ANY inductor behaves. It can be proven to behave the way most people are trying to explain. The coil does NOT represent the "missing degrees". It does NOT have to have current taper (as a matter of fact a good indictor and antenna design won't show any significant current taper). Right. Although the distributed capacitance can change the shape. It can change the amplitude, but not the shape of the current distribution curve, that is the maximum is at the feed point (zero reactance - resonance) and zero at the tips and follows cosine function. The current distribution in an antenna is primarily a function of displacement currents caused by capacitance to the outside world and series impedance. If I have a short small diameter whip of uniform cross section, it has triangular distribution. If I sufficiently end-load the very same antenna with no change in length, the current distribution becomes close to uniform. The thinner the elenment and larger the end loading, the more uniform the current. This is why radiation resistance is someplace around FOUR times greater in an end-loaded antenna when compared to a base loaded antenna of the same height. Radiation resistance is tied to ampere-feet, and ampere-feet is larger with end loading rather than base loading. What "good book"? It would help to see the context. Say ARRL Antenna Book, 20th edition, page 16-7, Fig 10 Shows lengths h1 and h2 expressed as 15 deg. eaach. That does not say 90 degrees. It says 15 degrees. If you stick the coil at the base in series with radiator and bring it to resonance (zero reactance at the frequency of interest) what "degree resonant" will than radiator become, if not 90? ("Measured" from the feed point, through the coil and then straight radiator.) It is resonant. It is 15 degrees tall. It is NOT 90 degree resonant. Degrees of height is a distance measurement, not an electrical parameter. If someone is using it to describe resonance thay are misusing the term. I can have a 180 degree long resonant dipole. I can have a 20 degree long resoannt dipole. I cannot have a 180 degree resonant dipole that is 20 degrees long. I cannot have a 15 degree tall vertical that is 180 degree resonant, or 90 degree resonant. That argues against itself. Well, is 180 degrees half wavelength or not? Yes, 180 degrees is 1/2 wave. Is the current maximum at the feedpoint (center) and zero at the end, or not? Yes. The current distribution is not the same, but is exhibiting properties of resonant half wave dipole with current max at the center and zero at the tips. The shape is not the smooth continuous cosine curve as in straight dipole, but affected by the loading coils (drops) in their place (subject of disagreement). So what? The degrees are a measure of physical length. A 20 degree long coil loaded dipole is a 20 degree long resonant dipole. It is not a 180 degree resonant antenna. Can we describe "pieces" or segments of the radiator as having proportional amount of degrees corresponding to their physical length, when excited with particular frequency? Yes. It works fine for length. It does NOT work for loading inductors, it does not work for short antennas which have anything form a uniform distribution to triangular distribution, or any mix between including curves of various slopes. Why not? What happens to cosine current distribution curve when we insert the loading element (inductance, coil, loading stub, resistance) in the radiator? What formula applies to get the uniform or triangular distribution? Can you show some mathematics? This has all been explained over and over again. You can also see it in any engineering book. ON4UN's book initially had it wrong, but it is corrected now. So we have resonant standing wave element, that has current max at the feedpoint and zero at the tip, which gives us 90 degree (or 180 with dipole) or quarter wave distribution from the base to the tip. (reality) No, it does not. 90 degrees when used with antennas is a measure of distance as it relates to frequency. You can't have a 15 degree long antenna that is "180 degree resonant", and the current distribution depends on distributed capacitance and series impedance. We can express the straight pieces of radiator in degrees, but not the coiled up piece that the wave has to go through? Right. You cannot build a "60 degree coil to make my 30 degree antenna 90 degrees long". Think about it. If the coil was 60 degrees long, you could move it anywhere in the antenna and it would be resonant at the same frequency! The "uniform" and "triangular" distribution was used for approximation or simplification of showing the current distribution in short loaded radiators, while they are in reality segments of the cosine curve belonging to length of the straight portions of the radiator. EZNEC shows that, when you magnify the curve you can see there are no uniforms or triangles but a cosine curve. Oh, we are picking nits now. In this case we have to get every engineering book to say "it is such a small portion of a curve it looks straight" instead of using triangular or uniform. After all current might be 1.0001 amperes at one point and 1.0000 amperes ten feet away, so I guess that is actually not uniform if we pick the nits enough. The cosine shape is not true as a rule, however. That shape depends on distributed capacitance being uniform. We are not talking here about base loaded radiator. No detours please. If your theory does not cover base, center , and top loading it is incomplete, If it does not treat a coil as a coil no matter how it is used or set limits, it is incomplete. Base loaded, center loaded. It doesn't matter. So how many electrical degrees has the quarter wave resonant radiator that is loaded with loading coil (or stub) about 2/3 way up and is say 30 deg. physical "length" to make it resonant? That's already been explained. If it is 30 degrees tall, it is a resonant 30-degree tall radiator. It is not a "90 degree resonant 30 degree tall radiator with a 60 degree coil". 73 Tom |
Current across the antenna loading coil - from scratch
"Richard Clark" wrote
This must be a convention that is particular to only a very few Hams. The FCC database describes AM antennas in both electrical and physical height as follows. .... it would seem odd to step out of this expectation to change to calling all antennas 90° simply because they resonate. _____________ The FCC data cited does not include the reduced velocity of propagation along the radiator -- which means that an FCC "90 degree" radiator is not resonant, it has some inductive reactance. A network is used at the radiator feedpoint to transform the complex impedance there to properly match the transmission line. That "90 degree" radiator would need to be shortened by several percent in order to be self-resonant. Kraus (3rd Ed, p 182) shows a feedpoint Z of 73 + j42.5 ohms for a thin-wire, linear dipole that is a physical 1/2-wavelength, and that self-resonance occurs at a length a few percent shorter, when the radiation resistance drops to about 65 ohms. An unloaded 1/4-wave MW broadcast monopole working against the typical broadcast radial ground system has about 1/2 the impedance that Kraus shows for a dipole in free space. RF |
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