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I have a 160 Meter Horizontal loop fed with coax, and no balun. It works. That is all I can say. It works on all bands with only a little additional tuning from the internal tuner. It is my alternate antenna for all bands higher than 160, or the ones which I do not have a specific antenna just for that band. The 160 meter SWR plot is shown below the feed point photo. The length of the loop in inches is found from the formula 1005/F (MHz). It is in a parallelogram shape (a squashed rectangle) but it still works.

One note of caution: Do NOT put any other antennas inside the loop. I had an 80 meter dipole strung from one corner of the loop to another and when using 400 watts, I blew out the front end of my Elecraft K3 which was connected to the 80 meter antenna at the time. Since then I have done some tests, and any antenna which is inside the loop shows lots of power (up to 10 watts coming down the line, depending upon band and power in the loop) coming into anything connected to it. So, heed my experience and do NOT repeat my mistakes!

MeterLoopFeedPoint
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160 Horizontal Loop