[TowerTalk] wire antenna question

[Terry Conboy]

Blair is right that a 40+j10 ohm load has an impedance magnitude is 
41.23 ohms, but it has a vector angle of 14 degrees.  The SWR is only 
the simple ratio of the impedances when the vector angle is 0 
degrees, i.e. the impedance is purely resistive.

With normal RF transmission lines, you can never have a 1:1 SWR when 
the load Z is reactive.  No kidding.

The formulas for the calculation when the load Z is reactive are a 
pain due to the imaginary numbers involved.
This page explains it all: http://www.microwaves101.com/encyclopedia/vswr.cfm
(The good stuff is at the bottom.)

However, it's much simpler to use one of the programs like ARRL's TLW 
by N6BV or this online calculator from W9CF:
http://fermi.la.asu.edu/w9cf/tran/

73, Terry N6RY


At 11:05 AM 2008-11-13, Blair S Balden wrote:
>Hi Gerald,
>I guess this is something I'm not clear on.  By my calculations, an 
>antenna having an impedance of 40+j10 or 40-j10 would have 41.23 ohms.
>If SWR is the ratio of the two impedances (coax and load), then 50 
>ohms / 41.23 ohms would give an SWR of 1.21.  It would take 30 ohms 
>of reactance combined with 40 ohms of resistance (40+j30 or 40-j30) 
>to give 50 ohms.  So, it would seem to me that the 
>40-ohms-at-resonance antenna would need to have 30 ohms of reactance 
>combined with it in order to achieve an SWR of 1.
>At least, that is what I would expect.  Am I missing something in my thinking?
>
>Thanks,
>Blair, NP2F
>
>
>
>----- Original Message -----
>From: TexasRF at aol.com
>Date: Thursday, November 13, 2008 12:33 pm
>Subject: Re: [TowerTalk] wire antenna question
>
> > Blair, that is not quite right. Using a 50 ohm swr indicator, the
> > lowest  swr
> > is shown when the reactance is zero.
> >
> > Using a transmission line program, 40 ohm load 40+j0; swr=1.25.
> > 40+j10=1.37;
> > 40-j10=1.37.
> >
> > So, when you tweak your dipole for the lowest vswr at a given
> > frequency,  you
> > are in essence resonating the antenna at that frequency.
> >
> > 73,
> > Gerald K5GW