Coaxial Cable Length Does Not Change Antenna SWR

I’ve heard this for decades, and I first heard it when I got into CB radio when I was a kid.

You’ve gotta to cut your coax to the right length if you want low SWR’s

 

More accurately, if you are driving a mismatched load (e.g: a poorly tuned antenna) it depends where along the feeder you measure your SWR. In the following animation, there is a coaxial cable connected to the transmitter which is a multiple wavelength long, (in this case, four wavelengths) and nothing connected to the other end of the cable where the antenna usually goes. It is an open circuit. This is a most extreme case of mismatch, where (for sake of argument) 100% of the transmitter power is reflected.

Measurement location giving the appearance of “good SWR” with a mismatched load.

When you key your transmitter, the transmitted (incident) wave travels down the coaxial cable and meets an impedance mismatch (in the above case, an open circuit) and no current is leaving the cable since there is no load. If no load is present for the transmitted energy to be dissipated into and/or radiated from, the energy has nowhere to go except back where it came from. Current cannot flow in an open circuit, and if there is zero current flowing at the end of the transmission line, there is maximum voltage appearing at the end of the transmission line. As the reflected wave travels back up the cable, it adds to the magnitude of the incident wave where it arrives in-phase with it, and subtracts from the magnitude of the incident wave where it arrives out of phase with it.

Nodes & Antinodes

Where these nodes (points of minimal energy) and anti-nodes (points of maximum energy) appear in the cable depend on the frequency. Cutting the coaxial able to such a length where the end which plugs into your SWR meter or radio is at a point where the incident and reflected waves arrive out of phase with each other will fool your meter or radio (and you) into thinking you have a well tuned antenna system. However, energy is still being reflected and it radiates back and forth along your coaxial cable until it is either radiated by the antenna, the coaxial cable, or dissipated as heat by your meter, tuner, or coaxial cable, etc. It all finds a way out of the system somehow. Damage to final output transistors can be due to large VSWR induced voltage swings arriving at the device and exceeding the operational parameters. Keep a quarter-wavelength jumper cable handy for an experiment someday, and if you think your SWR reading is artificially low, just add this into the chain. Failure can also be due to the excessive reactance presented to the output stage causing excessive current flow in the output device.

For the sake of example, the ideal standard 50 ohm transmission scenario occurs when the characteristic impedance of the RF source, the transmission line, and the load are all 50 ohms resistive. In this scenario, there is no variation along the length of the transmission line, current and voltage are in-phase, and all power delivered from the RF source to the load is transmitted. However, reactance in an RF system makes this practically impossible. Impedance is made up of a resistive element, and a reactive element, and there will certainly be a reactive element in your system which causes some energy you deliver to your antenna to be reflected, and so you will be able to see a small variation in measured VSWR in different places along the coaxial cable even in the most well matched of antenna systems.

Always measure the antenna VSWR at the antenna feedpoint. Changing the length of coaxial cable does not change the characteristics of your antenna.

Don’t get overly obsessed with SWR if your antenna is fairly well matched. A 1:1 or 1.1:1 VSWR seems to be the “holy grail” of SWR, and I really have no idea why there is such an obsession with it. Really, anything less than 2:1 is usually more than adequate. Here’s a table of VSWR and reflected power for a 100W transmitter.

(* given zero feedline loss and 100% efficient antenna)
VSWR Mismatch Loss (dB) Reflected Power (W) Radiated Power (W)*
1.1 0.01 0.23 99.77
1.2 0.036 0.83 99.17
1.3 0.074 1.70 98.3
1.4 0.12 2.77 97.22
1.5 0.17 4 96
1.6 0.24 5.32 94.67
1.7 0.3 6.72 93.28
1.8 0.37 8.16 91.84
1.9 0.44 9.63 90.37
2.0 0.51 11.11 88.89
3.0:1 1.25 25 75
4.0:1 1.94 36 64
5.0:1 2.55 44.4 55.6
6.0:1 3.1 51 49
7.0:1 3.59 56.25 43.75
8.0:1 4.03 60.5 39.5
9.0:1 4.43 64 36
10.0:1 4.8 67 33

Even this table isn’t entirely accurate in the real world. This is just for one reflection. In reality, reflected power is re-reflected back down the feeder towards the antenna, and will be dissipated in the load eventually, so the real world loss is much less.

Edit 26th July 2017

I came across an article from a 1956 issue of QST which describes the misconception I outline here.

 

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3 Comments:

  1. Hello friend Gordon, nice to meet you.

    The resonance length is not related to impedance equilibria.
    In resonance jX = 0 ( Regardless of the impedance imbalance ), but the length of the coaxial cable changes the angle of the reflection coefficient and this, in turn, modifies the jX seen from Zi, causing that from the end of the line that conceives the transmitter, move the original resonance frequency of the antenna, displacing the entire bandwidth, including the SWR.
    In this link I explain the phenomenon.

    https://www.dropbox.com/s/fpeplh9s9bp1qnd/LENGTH%20OF%20COAXIAL%20CABLE%20AND%20NODES.pdf?dl=0

    I apologize for the translation errors into the English language, the important thing is the content.

    I hope I clarify many doubts.

    QRV.

    • Hello Ramón!

      Thank you for your comment. There is no problem about your language – your English is much better than my Spanish! 🙂
      I think we are on the same page, but I am looking forward to reading your PDF tomorrow.
      I also see that you are using SMITH by Professor Dellsperger also. Great utility!
      73, de AD5GG

    • Hello Ramón,
      Your article is a little difficult to understand sometimes because of the technical aspect of the translation. However, I really enjoyed reading it. There is a lot of useful information in your article, and I think it would be very good for the ham radio community if the article was professionally translated.
      Thank you for sharing it. 73!

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