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Old August 15th 07, 07:35 PM posted to rec.radio.amateur.antenna,rec.radio.amateur.homebrew
[email protected] JRCCrabtree@gmail.com is offline
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First recorded activity by RadioBanter: Jun 2007
Posts: 27
Default VSWR Meter and reactance

On Aug 15, 7:09?am, "amdx" wrote:
Is it possible for a VSWR meter to read 1 to 1 with reactance at the
antenna?
Ex. If the antenna Z was R= 30 and X= 40 would the meter read 1 to 1?
Or is there a combination of R and X that would give 1 to 1?
Thanks for your answer and
explanations,
Mike


As others have pointed out, unless the line is lossy, the answer is
no.

Here is a way to calculate SWR from R and X without the complex
arithmetic. It is taken from 'Reflections: transmission lines and
antennas' by Walt Maxwell, 1st ed, page 23-5, or 2nd ed page 'appendix
3-1'.

Let r = R / line impedance
Let x = X / line impedance

b = (1 + r*r + x*x) / r

SWR = (b + SQRT(b*b - 4)) / 2

The minimum value of b is 2 when r = 1 and x = 0

The minimum value of SWR is 1 when b = 2

Hence it can be readily seen that any reactance will cause the the SWR
to be greater than 1 at the load..

Just to complete the maths,the modulus of the relection coefficient,
ie mod(p),
= SQRT( (b-2) / (b+2) )

HTH and 73

John KC0G