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#1
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I seem to recall that ladder/open-wire feeders are relatively high
impedance ~500 ohms. Is it possible to construct 50 ohm open wire feeder and if so, what would the spacing be? Thanks! |
#2
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phaedrus wrote:
I seem to recall that ladder/open-wire feeders are relatively high impedance ~500 ohms. Is it possible to construct 50 ohm open wire feeder and if so, what would the spacing be? Thanks! Possible, perhaps, but not practical. Assuming air insulation, the spacing between the wires would have to be just under 9% of the wire diameter, and this spacing would have to be maintained very closely to keep the impedance constant. I might still have some 72 ohm twinlead in my junk box, which consisted of wires embedded in molded polyethylene. With your interest in transmission lines, you'd benefit a great deal from getting a copy of the _ARRL Antenna Book_. Roy Lewallen, W7EL |
#3
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On Thu, 11 Feb 2010 08:02:55 -0800 (PST), phaedrus
wrote: Is it possible to construct 50 ohm open wire feeder and if so, what would the spacing be? Look at your lamp zip cord - close enough. 73's Richard Clark, KB7QHC |
#4
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Richard Clark wrote in
: Look at your lamp zip cord - close enough. There is an interesting example. K8ZOA published a characterisation of ZIP line some years ago in this groupd, and Zo is approximately 100 ohms. Considering a half wave of ZIP cord with a load of 100+j0 at 14MHz, loss is around 1dB. Now, using N7WS's characterisation of Wireman 551 ladder line, again a half wave at 14MHz, smaller conductors, wider spacing, longer, Zo=400, higher VSWR, the loss with a load of 100+j0 at 14MHz, loss is around 0.14dB. Owen |
#5
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phaedrus wrote in news:fe96541e-75fc-423a-8eb7-
: I seem to recall that ladder/open-wire feeders are relatively high impedance ~500 ohms. Is it possible to construct 50 ohm open wire feeder and if so, what would the spacing be? Such a low characteristic impedance requires very close spacing of round conductors. Proximity effect which causes the current to mainly flow in a small adjacent portion of the conductors at close spacing makes achivement of very low Zo at low loss very difficult, and not very practical. TWLLC at http://www.vk1od.net/calc/tl/twllc.htm will perform the calculations for you, including calculating the matched line loss and loss under mismatch conditions, but read the comments on the page re proximity effect. Owen |
#6
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On Feb 11, 8:02*am, phaedrus wrote:
I seem to recall that ladder/open-wire feeders are relatively high impedance ~500 ohms. Is it possible to construct 50 ohm open wire feeder and if so, what would the spacing be? Thanks! As hinted by others, especially Owen, it's quite possible to make parallel-conductor line of very low impedance. There are two ways that are easy to describe, and these may well bring others to your mind: First, consider a line made of broad, flat conductors: copper ribbon. If the spacing is close compared with the conductor width, the impedance will be low. This is not particularly practical for "open-wire feeders," but is commonly used on printed circuit boards. In the extreme, you can make transmission lines with impedances under 10 ohms this way, if you're of a mind to. You can use thin, flexible Kapton tape, perhaps 0.1mm thick or less, and have conductors 10 or more mm wide. According to a formula in Sams' "Reference Data for Engineers," the impedance will be approximately 377*s/ (sqrt(epsilon)*w), where w is the conductor width and s is the spacing. For air dielectric, where epsilon is 1, you can make a 10 ohm line if the width is about 38 times the spacing. Second, consider a multi-wire line. One common construction is four wires arranged as in the corners of a square, with diagonally opposite wires connected together at the ends. That gets you a lower impedance than open wire with the same spacing as the side of the square and of course the same wire diameter...it's a bit more than half the impdeance. You could also have more wires arranged around a circle, with alternate wires fed in parallel. A variation on this theme has been used on occasion by rabid stereophiles to feed (~8ohm) speakers: use a 50-conductor ribbon cable. Mass-terminate with a standard two- row connector. Tie all the pins on each side of the mating connector together, so the transmission line is similar to 25 pairs that are fairly closely spaced. (IMO, there are better ways to accomplish flat frequency response in a stereo system...) But it does work to get a low impedance line. (And yes, if you look closely, you'll realize the transmission line impedance is NOT constant as you go to lower frequencies...) On the other hand, there's generally not much advantage to making a low-impedance balanced line for RF work, so they are pretty uncommon in practice. Cheers, Tom |
#7
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K7ITM wrote:
On Feb 11, 8:02 am, phaedrus wrote: I seem to recall that ladder/open-wire feeders are relatively high impedance ~500 ohms. Is it possible to construct 50 ohm open wire feeder and if so, what would the spacing be? Thanks! As hinted by others, especially Owen, it's quite possible to make parallel-conductor line of very low impedance. There are two ways that are easy to describe, and these may well bring others to your mind: First, consider a line made of broad, flat conductors: copper ribbon. If the spacing is close compared with the conductor width, the impedance will be low. This is not particularly practical for "open-wire feeders," but is commonly used on printed circuit boards. In the extreme, you can make transmission lines with impedances under 10 ohms this way, if you're of a mind to. You can use thin, flexible Kapton tape, perhaps 0.1mm thick or less, and have conductors 10 or more mm wide. According to a formula in Sams' "Reference Data for Engineers," the impedance will be approximately 377*s/ (sqrt(epsilon)*w), where w is the conductor width and s is the spacing. For air dielectric, where epsilon is 1, you can make a 10 ohm line if the width is about 38 times the spacing. You see this in microstrip construction on various substrates, particularly where it's part of a matching network for transistor amplifiers (which can have Zs of a few ohms) On the other hand, there's generally not much advantage to making a low-impedance balanced line for RF work, so they are pretty uncommon in practice. in RF communications, that's true. In other high power RF applications, low Z can be desirable (because you'd rather take the IR hit than deal with the high voltage). In the pulsed nuclear research business you see lines with Z of a few ohms in pulse forming networks ![]() dielectric.. that epsilon of 80 gets the C right up there so Sqrt(L/C) is small. Cheers, Tom |
#8
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On Feb 11, 5:38*pm, Jim Lux wrote:
K7ITM wrote: On Feb 11, 8:02 am, phaedrus wrote: I seem to recall that ladder/open-wire feeders are relatively high impedance ~500 ohms. Is it possible to construct 50 ohm open wire feeder and if so, what would the spacing be? Thanks! As hinted by others, especially Owen, it's quite possible to make parallel-conductor line of very low impedance. *There are two ways that are easy to describe, and these may well bring others to your mind: First, consider a line made of broad, flat conductors: *copper ribbon. *If the spacing is close compared with the conductor width, the impedance will be low. *This is not particularly practical for "open-wire feeders," but is commonly used on printed circuit boards. In the extreme, you can make transmission lines with impedances under 10 ohms this way, if you're of a mind to. *You can use thin, flexible Kapton tape, perhaps 0.1mm thick or less, and have conductors 10 or more mm wide. *According to a formula in Sams' "Reference Data for Engineers," the impedance will be approximately 377*s/ (sqrt(epsilon)*w), where w is the conductor width and s is the spacing. *For air dielectric, where epsilon is 1, you can make a 10 ohm line if the width is about 38 times the spacing. You see this in microstrip construction on various substrates, particularly where it's part of a matching network for transistor amplifiers (which can have Zs of a few ohms) On the other hand, there's generally not much advantage to making a low-impedance balanced line for RF work, so they are pretty uncommon in practice. in RF communications, that's true. In other high power RF applications, low Z can be desirable (because you'd rather take the IR hit than deal with the high voltage). In the pulsed nuclear research business you see lines with Z of a few ohms in pulse forming networks ![]() dielectric.. that epsilon of 80 gets the C right up there so Sqrt(L/C) is small. Cheers, Tom Yes, indeed a low impedance can be helpful sometimes...but the times I've been involved with low-Z lines, they've almost always been unbalanced (e.g. coaxial). For a PFN, the high epsilon is also an advantage in storing a lot of energy. Since even very pure water is pretty conductive (relative to seriously good dielectrics), I'm a bit surprised it's used. Are the cases you're thinking of balanced lines, or coaxial? Is the impedance also chosen to match the load (in some sense), or is there also a transformer at the output to match to a higher-impedance load? It occurs to me that for a PFN, energy storage is a good thing...in fact, it's half of what a PFN is all about, the other half being delivering that energy in a controlled manner. But in power transmission, (excess) energy storage is generally a disadvantage. Lines with dielectric with high epsilon are lossier, and delay the signal more, than lines with low epsilon dielectric. Cheers, Tom |
#9
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On Feb 11, 7:21*pm, K7ITM wrote:
On Feb 11, 5:38*pm, Jim Lux wrote: In other high power RF applications, low Z can be desirable (because you'd rather take the IR hit than deal with the high voltage). In the pulsed nuclear research business you see lines with Z of a few ohms in pulse forming networks ![]() dielectric.. that epsilon of 80 gets the C right up there so Sqrt(L/C) is small. Yes, indeed a low impedance can be helpful sometimes...but the times I've been involved with low-Z lines, they've almost always been unbalanced (e.g. coaxial). *For a PFN, the high epsilon is also an advantage in storing a lot of energy. *Since even very pure water is pretty conductive (relative to seriously good dielectrics), I'm a bit surprised it's used. Both coaxial and parallel plate balanced.. For short pulses, the water isn't all that conductive (because it takes time for the water molecules to dissociate); you worry more about particulate or gas bubble contaminants cause a dielectric breakdown. For a spectacular example, look at the Z-machine. |
#10
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On Feb 11, 8:02*am, phaedrus wrote:
I seem to recall that ladder/open-wire feeders are relatively high impedance ~500 ohms. Is it possible to construct 50 ohm open wire feeder and if so, what would the spacing be? Thanks! Oh, and to more directly answer your question, the formula generally given for accurate description of the impedance of two parallel, round conductors of the same diameter, in air, is: Zo = 120 * invcosh(D/d) where D/d is the center-center distance and d is the conductor diameter. So... D/d for 50 ohms = cosh(50/120) = 1.088 For 1" diameter wires, you'd have to space them 0.088 inches apart, which is tough to maintain unless you embed them in a solid dielectric. I suspect the formula above is in error for very close spacings because of proximity effects...I suspect it assumes a uniform thin cylinder of current...but I'm not sure about that. Cheers, Tom |
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