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   sci.electronics.design      Electronic circuit design      143,102 messages   

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   Message 142,232 of 143,102   
   john larkin to jeroen@nospam.please   
   Re: Velocity factor of co-ax   
   23 Jan 26 05:54:36   
   
   From: jl@glen--canyon.com   
      
   On Fri, 23 Jan 2026 13:59:18 +0100, Jeroen Belleman   
    wrote:   
      
   >On 1/23/26 12:34, Liz Tuddenham wrote:   
   >> john larkin  wrote:   
   >>   
   >>> On Thu, 22 Jan 2026 17:38:41 +0000, liz@poppyrecords.invalid.invalid   
   >>> (Liz Tuddenham) wrote:   
   >>>   
   >>>> john larkin  wrote:   
   >>>>   
   >>>>> On Thu, 22 Jan 2026 09:29:10 +0000, liz@poppyrecords.invalid.invalid   
   >>>>> (Liz Tuddenham) wrote:   
   >>>>>   
   >>>>>> What physical properties determine the velocity factor of co-ax?  Most   
   >>>>>> of the amateur radio books give around 60% as the velocity factor for   
   >>>>>> 'common' types of 50-ohm co-ax.   
   >>>>>>   
   >>>>>   
   >>>>>   
   >>>>> V = c/(sqrt(Er))   
   >>>>>   
   >>>>> Solid polyethylene has Er around 2.3.   
   >>>>>   
   >>>>> Foamed stuff is lower.   
   >>>>>   
   >>>>> Polyethylene is awful. It melts when you solder it. Foamed is worse.   
   >>>>   
   >>>> Solid polyethylene isn't too bad but foamed has a nasty habit of moving   
   >>>> under the influence of its own 'memory'.  You solder the end of a   
   >>>> slightly bent centre conductor and, as the heat travels down it, the   
   >>>> foam springs back to the straight position, leaving you with a slot in   
   >>>> the foam and a bare centre conductor shorted to the screen.   
   >>>>   
   >>>>>   
   >>>>> Your VNA measurement may be suspect.   
   >>>>   
   >>>> That was why I asked about it here, I suspected the measurement.   
   >>>>   
   >>>> However... my method of finding the first reactance swing in the   
   >>>> reflection from an open circuit should give me a measurement of the   
   >>>> electrical length of the cable that is independent of the terminating   
   >>>> impedances, calibration etc   
   >>>>   
   >>>> The cable was physically 6.39 metres long and the first 'resistive'   
   >>>> impedance point was at exactly 15.000 Mc/s.  (That's another reason I   
   >>>> was suspicious, it really was spot-on 15.000 Mc/s, give or take   
   >>>> nothing.)   
   >>>   
   >>> Looking for the max resistance may not be ideal.   
   >>   
   >> Perhaps I didn't explain that very clearly.  It wasn't the point of   
   >> maximum resistance, it was the point where the capacitive reactance   
   >> swung through zero to become an inductive reactance; it was quite   
   >> sharply defined.  At that point the impedance was purely resistive but   
   >> it was the reactance that I was measuring, not the resistance.   
   >>   
   >>   
   >>> If you jack up the frequency and get multiple wavelengths in the   
   >>> cable, resolution will improve.   
   >>   
   >> True, but the electrical errors in measurement may increase too.  An   
   >> accuarcy of around 1% would be good enough for the present purposes -   
   >> after all, where exactly is the 'end' of a piece of co-ax that is   
   >> splayed out for connection to something else?  I also wouldn't expect a   
   >> length of cheap co-ax to be particularly homogenous.   
   >>   
   >>   
   >>> 15.000 MHz seems suspicious.   
   >>   
   >> Yes, that worried me.   
   >>   
   >>   
   >>> I don't have a VNA. I use TDR to measure time delays.   
   >>   
   >> My VNA will also function as a TDR and I have a telephone-testing TDR   
   >> for longer lines.  If all else fails, a square-wave signal generator and   
   >> an oscilloscope will work too.   
   >>   
   >   
   >Having used both VNAs and TDRs for cable length measurements, I've   
   >always found the VNA measurements much superior to those of a   
   >TDR. My HP8753 would resolve 1 degree @ 1GHz with ease. That   
   >corresponds to a little under 3ps. TDRs are much too noisy to   
   >do that.   
   >   
   >I've got a picture of a TDR and a VNA-derived measurement of the   
   >same setup here. Note how much cleaner is the trace from the   
   >VNA. You can't beat a VNA for S/N.   
   >   
   >   
   >   
   >I made these measurements in the context of constructing a wide   
   >band beam transformer for the Proton Synchrotron at CERN.   
   >   
   >Jeroen Belleman   
      
   My 11802/SD24 is about two generations behind the times; your S-series   
   rig is three. The 11801 series has both smoothing and signal   
   averaging, and can easily resolve 1 ps of delay accurately. And has an   
   RS-232 interface to export waveforms.   
      
   But yes, data from a good VNA can be crunched to make a good TDR. But   
   TDR is DC-coupled and VNAs aren't.   
      
      
   John Larkin   
   Highland Tech Glen Canyon Design Center   
   Lunatic Fringe Electronics   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)   

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