[Antennas] Balanced line optimum conductor spacing?

Richard Karlquist [email protected]
Sat, 5 Jan 2002 15:14:29 -0800


arccosh(x) can be expressed alternatively
as ln(x+sqrt(x^2-1)), if inverse hyperbolic
trig functions are too "scary" for you.

Rick N6RK

> -----Original Message-----
> From: [email protected]
> [mailto:[email protected]]On Behalf Of Chris BONDE
> Sent: Saturday, January 05, 2002 2:22 PM
> To: [email protected]
> Subject: Re: [Antennas] Balanced line optimum conductor spacing?
>
>
> I donot intend to be critical but
> The last time I heard about hyperbolic trinometric functions was
> when I was
> trying to teach an engineer some physics.  That may be the
> correct formula
> but I am sure there exits a number of simple formulas that will give good
> results for an amateur radio hobbist.
> It is a little bit like when a frosh and a freshette are intruduced and
> close the distance between them by one half every 3 minutes.
> Theoretically
> they will never meet but (nomatter how for the first distance was) in a
> very short time  it doesnot matter.
>
> Chris opr VE7HCB
>
>
> At 01:59 PM 2002-01-05 -0800, you wrote:
> >The correct formula is Z0 = 120*arccosh(D/d) where D is the
> center-center
> >spacing, d
> >the diameter, and arccosh the inverse hyperbolic cosine function. With
> >this formula you can see that the impedance approaches zero as the wires
> >get extremely close together.
> >
> >Danny, K6MHE
> >
> >
> >
> >At 03:49 PM 1/5/2002 -0600, you wrote:
> >
> >>Back in the late 1940's and early 1950's mycalex was used for spacers.
> >>The rule of thumb was 6 inch spacing with #12 wire was 600 Ohms,
> >>4 inch spacing equaled 400-450 Ohms.  Back then I used a 250 foot
> >>center fed with 6 inch spacing and it worked great on 160 and 80.
> >
> >
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