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Re: [TowerTalk] How a folded dipole works

To: Martin Ewing <martin.s.ewing@gmail.com>
Subject: Re: [TowerTalk] How a folded dipole works
From: n8de@thepoint.net
Date: Wed, 26 Aug 2009 21:20:30 -0400
List-post: <towertalk@contesting.com">mailto:towertalk@contesting.com>
Remember that the impedance ratio is dependent upon the sizes of the  
parallel wires in the folded dipole.

If one wire has a different diameter from one or more of the others,  
the impedance ratio will change.

Most of this can be found in older editions of the ARRL Handbook  
and/or Antenna Handbook.

Don
N8DE

Quoting Martin Ewing <martin.s.ewing@gmail.com>:

> Steve,
>
> Thanks for pointing this out.  Adding more elements to a system adds
> degrees of freedom that can add complexities to the analysis.  My
> claim that the currents in both wires are equal was obviously a little
> too simplistic!
>
> But it's still a good approximation if you're not using zip cord.
>
> Cheers / 73  Martin AA6E
>
> On Wed, Aug 26, 2009 at 6:47 AM, Steve Hunt<steve@karinya.net> wrote:
>> Martin,
>>
>> Just one point of detail. If you construct a  folded dipole of wire
>> which has a low(ish) differential-mode characteristic impedance, and
>> which has a significant difference between its differential-mode and
>> common-mode Velocity Factors, the connection between the two wires has
>> to be somewhere other than at the ends. Take a look at my detailed
>> analysis here:
>>
>> http://www.karinya.net/g3txq/folded_dipole/
>>
>> This is not just a "theoretical distraction" - if you try to construct a
>> folded dipole with "Figure-8" Zip cord you'll find the shorting links
>> have to be way towards the centre of the antenna. The ARRL Antenna Book
>> used to address this issue, but they've removed it from the latest edition.
>>
>> 73,
>> Steve G3TXQ
>>
>> Martin Ewing wrote:
>>> In an off-line discussion, we were talking about building a folded
>>> dipole out of twin lead or ladder line.  Some folks may have the idea
>>> that if you build an FD out of 450 ohm ladder line, you get a 450 ohm
>>> feed point impedance, but not so.  It will still be 300 ohms.  (It's
>>> an accident that an FD made of 300 ohm twin lead has a 300 ohm feed
>>> impedance.)
>>>
>>> I offer a physicist's explanation, based on a symmetry argument.
>>>
>>> A 2-wire half-wave folded dipole, radiating 100 W (say), has a certain
>>> net current flow on the two wires (at the center point).  Both wires
>>> carry equal current*, i.e. each wire has half of the total current.
>>> So your FD feed point, in series with only one wire, will be providing
>>> 1/2 the current of a simple dipole radiating the same power.  But all
>>> the power comes from your transmitter and P = V x I, so if I is 1/2, V
>>> has to be 2x the voltage you would have had in a simple dipole.
>>> Furthermore, the impedance is R = V/I, which will be (2)/(1/2) = 4x
>>> the simple dipole impedance, so ~70 ohms --> ~280 ohms.  It's more or
>>> less independent of the spacing of the FD wires.  (Neglecting real
>>> world issues like wire loss, earth, etc.)
>>>
>>> You can extend the argument with N equal size wires in your FD, and
>>> get an impedance multiplication of N**2.  I suppose you could get
>>> other interesting impedances by feeding, say, 2 wires out of a 3 wire
>>> FD, or by using different size wires.
>>>
>>> Or that's the way I remember it.
>>>
>>> 73 Martin AA6E
>>>
>>> * Why equal, you ask?  Because we connected the end points together.
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>>
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