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#1
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![]() "Jeff Liebermann" wrote in message ... However, what was referring to was mismatch loss. Voltage_reflection off of a 75 ohm input: Vr = (50-75)/(50+75) = 0.2 Voltage transmission into 75 ohm input: T = 1 - (0.2^2) = 0.96 Converting to decibels, the loss will be: Mismatch_Loss = 20 Log 0.96 = -0.35 dB mismatch loss. Note that the mismatch loss is independent of the length of coax cable. I agree with what you have been saying. I may not be reading the part above the way you wrote it, but think I am. I am thinking that that .35 db loss due to the mismatch is in adition to the loss per unit length. That is if you have 100 feet of coax with a loss of say 3 db when matched, you will have a loss of 3.35 per 100 feet, and if you go to 200 feet you will have a loss of 6.70 db and not 6.35. |
#2
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On Fri, 30 Aug 2013 11:03:22 -0400, "Ralph Mowery"
wrote: "Jeff Liebermann" wrote in message .. . However, what was referring to was mismatch loss. Voltage_reflection off of a 75 ohm input: Vr = (50-75)/(50+75) = 0.2 Voltage transmission into 75 ohm input: T = 1 - (0.2^2) = 0.96 Converting to decibels, the loss will be: Mismatch_Loss = 20 Log 0.96 = -0.35 dB mismatch loss. Note that the mismatch loss is independent of the length of coax cable. I am thinking that that .35 db loss due to the mismatch is in adition to the loss per unit length. That is if you have 100 feet of coax with a loss of say 3 db when matched, you will have a loss of 3.35 per 100 feet, and if you go to 200 feet you will have a loss of 6.70 db and not 6.35. http://en.wikipedia.org/wiki/Mismatch_loss I've always assumed that it was independent of length because the mismatch loss can only occur at two points (source and load) and is not a "bulk" phenomenon. Note that this is a 75 ohm system, not a 50 ohm system, where both the 50 ohm source and load are mismatched to the 75 ohm transmission media. That makes things a bit easier to visualize. My Note that the 0.35 dB loss is not converted to heat or dissipated. The antenna (or coax) does not get warmer because of mismatch loss. All that happens is that some of the power gets reflected around and does not get radiated out the antenna. Sanity check: http://vk1od.net/calc/tl/tllc.php Plug in: Belden 1530A (RG-6/u) 100 meters 150 MHz Zload = 50 which results in: Line Loss (matched) 7.924 dB Line Loss 8.097 dB VSWR(50)in 1.59 Mismatch loss = 8.097 - 7.924 = 0.1730 dB Now, changing on the 100 meters to 500 meters should produce 5 times the mismatch loss if your method is correct. It doesn't: Line Loss (matched) 39.622 dB Line Loss 39.799 dB VSWR(50)in 1.50 Mismatch loss = 39.799 - 39.622 = 0.01770 dB which is almost identical to the 100 meter caculation. Note that this is for the load end of the coax only. A mismatch at the source would produce an additional 0.1730 dB loss or: 2 * 0.1730 = 0.3460 dB total mismatch loss, which corresponds nicely to my original 0.35 dB loss calculation. -- Jeff Liebermann 150 Felker St #D http://www.LearnByDestroying.com Santa Cruz CA 95060 http://802.11junk.com Skype: JeffLiebermann AE6KS 831-336-2558 |
#3
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On Friday, August 30, 2013 11:26:03 AM UTC-5, Jeff Liebermann wrote:
The antenna (or coax) does not get warmer because of mismatch loss. Sounds like a confusing play on words to me. ![]() IF (the greater the mismatch loss) THEN (the higher the SWR) is TRUE AND IF (the higher the SWR) THEN (the greater the heat loss in the transmission line) is TRUE THEN (the greater the mismatch loss, the greater the heat loss in the transmission line). LOGIC 101 -- 73, Cecil, w5dxp.com |
#4
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On 8/31/2013 10:40 AM, W5DXP wrote:
On Friday, August 30, 2013 11:26:03 AM UTC-5, Jeff Liebermann wrote: The antenna (or coax) does not get warmer because of mismatch loss. Sounds like a confusing play on words to me. ![]() IF (the greater the mismatch loss) THEN (the higher the SWR) is TRUE AND IF (the higher the SWR) THEN (the greater the heat loss in the transmission line) is TRUE THEN (the greater the mismatch loss, the greater the heat loss in the transmission line). LOGIC 101 -- 73, Cecil, w5dxp.com Actually, Jeff is correct in his original statement, "Actually, the mismatched RG-6/u can be better than the properly matched RG-58c/u." It can be shown that the losses are higher with properly matched RG-58c/u than with the mismatched RG-6/u. (Real-word circumstances, not loss-less line approximation.) John KD5YI |
#5
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On 8/31/2013 4:41 AM, Jeff wrote:
Note that the 0.35 dB loss is not converted to heat or dissipated. The antenna (or coax) does not get warmer because of mismatch loss. All that happens is that some of the power gets reflected around and does not get radiated out the antenna. So the reflected wave is somehow mysteriously exempt from the loss/m of the coax then!! Jeff He buys his coax from "The Lossless Coax Store". |
#6
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On 8/31/2013 5:41 AM, Jeff wrote:
Note that the 0.35 dB loss is not converted to heat or dissipated. The antenna (or coax) does not get warmer because of mismatch loss. All that happens is that some of the power gets reflected around and does not get radiated out the antenna. So the reflected wave is somehow mysteriously exempt from the loss/m of the coax then!! Jeff He is correct. That 0.35 db loss exists even if you have zero feet of coax. It is a "point loss", unrelated to coax length. The loss in the coax is separate. -- ================== Remove the "x" from my email address Jerry Stuckle JDS Computer Training Corp. ================== |
#7
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On Sat, 31 Aug 2013 15:44:50 +0100, Jeff wrote:
On 31/08/2013 15:15, Jerry Stuckle wrote: On 8/31/2013 5:41 AM, Jeff wrote: Note that the 0.35 dB loss is not converted to heat or dissipated. The antenna (or coax) does not get warmer because of mismatch loss. All that happens is that some of the power gets reflected around and does not get radiated out the antenna. So the reflected wave is somehow mysteriously exempt from the loss/m of the coax then!! Jeff He is correct. That 0.35 db loss exists even if you have zero feet of coax. It is a "point loss", unrelated to coax length. The loss in the coax is separate. The loss may be 'separate' but that coax does *get warmer* as the reflected power also experiences loss in the cable, so he is not correct. Jeff Ok, let's try a different approach. Assumptions: 1. Only resistive losses generate heat. Reactive loads and transmission lines do not generate any heat. 2. Below about 1GHz, the dominant loss mechanism in coax cable is I^2*R heating losses in the copper conductors. 3. The coax is assumed to be non-radiating. 4. Coax looks resistive because the distributed capacitance and inductive reactances cancel, leaving only the I^2*R losses. Therefore, if I replace a length of 50 ohm coax, with a physically similar length of 75 ohm coax, the I^2*R losses do not change. What does change are the standing waves along the coax, which will cause mismatch losses. However, the basic coax loss, as controlled by the I^2*R losses, remains unchanged. Therefore, since the mismatch losses are all inspired by changes in reactance, there is no additional heating losses produced by the mismatch losses, since reactive loads and transmission lines do not generate any heat. Anyway, please note my use of the forms at: http://vk1od.net/calc/tl/tllc.php to calculate the mismatch loss for various cable lengths. I previously demonstrated that the mismatch loss is constant, no matter how long or short the transmission line. I'm fairly sure the calculations are correct. I'm not so certain of my explanation. -- Jeff Liebermann 150 Felker St #D http://www.LearnByDestroying.com Santa Cruz CA 95060 http://802.11junk.com Skype: JeffLiebermann AE6KS 831-336-2558 |
#8
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On Saturday, August 31, 2013 11:37:20 AM UTC-5, Jeff Liebermann wrote:
Therefore, if I replace a length of 50 ohm coax, with a physically similar length of 75 ohm coax, the I^2*R losses do not change. What you may be missing is that the RMS value of the current is higher when reflections are present than when they are not present. Therefore, the I^2*R losses in the transmission line are higher when reflections are present. Part of the reflected energy from the load (used to calculate mismatch loss) is dissipated as heat in the I^2*R of the copper transmission line as illustrated by the following example. Consider 200 ft. of RG-58 used on 440 MHz driving a 291.5 ohm load. The mismatch loss at the load is 3dB but the loss in the coax is 29.4 dB and the impedance looking into the coax at the source is 50.12-j0.19 ohms, almost a perfect match. Would you still argue that none of the power involved in the mismatch loss is dissipated in the coax? -- 73, Cecil, w5dxp.com |
#9
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![]() "W5DXP" wrote in message ... On Saturday, August 31, 2013 11:37:20 AM UTC-5, Jeff Liebermann wrote: Therefore, if I replace a length of 50 ohm coax, with a physically similar length of 75 ohm coax, the I^2*R losses do not change. # What you may be missing is that the RMS value of the current is higher when reflections are present than when # they are not present. Therefore, the I^2*R losses in the transmission line are higher when reflections are #present. Part of the reflected energy from the load (used to calculate mismatch loss) is dissipated # as heat in the I^2*R of the copper transmission line as illustrated by the following example. # Consider 200 ft. of RG-58 used on 440 MHz driving a 291.5 ohm load. The mismatch loss at the load # is 3dB but the loss in the coax is 29.4 dB and the impedance looking into the coax at the # source is 50.12-j0.19 ohms, almost a perfect match. Would you still argue that none of the power # involved in the mismatch loss is dissipated in the coax? -- # 73, Cecil, w5dxp.com This chart has been around a long time and indicates what is going on. See figure 1 at: http://www.arrl.org/files/file/Techn...f/q1106037.pdf As a practical example, my elevated vertical (on a metal patio cover) is fed with about 20 feet of RG-8. Matching is via a tuner right at the rig, and the vertical element connects to the coax with no other matching. RG-8 has a loss of about 0.55 db per 100 feet. Assume that my 20 foot feedline has a full 0.55 dB of loss when matched. On bands where the VSWR is 20:1, according to the chart, the system will have additional loss of less than 3 dB. And it works fine. |
#10
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On Sunday, September 1, 2013 12:40:51 PM UTC-5, Wayne wrote:
... the system will have additional loss of less than 3 dB. And it works fine. So the question is: Is any part of the reflected power in the mismatch loss calculation included in that 3 dB of additional loss? The answer is 'yes' and whether it works fine or not is irrelevant to the argument. -- 73, Cecil, w5dxp.com |
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