On Sat, 08 Oct 2005 00:25:46 GMT, Cecil Moore wrote:
Owen Duffy wrote:
Cecil, do you have some quantitative explanation / support for this?
Nope, but there were no disagreeing postings.
I am not asking whether or not field conditions (and V/I on the
conductors) immediate to the discontinuity are not Zo of either of the
lines, just where has the 2% of a wavelength come from?
As I remember it came from the spacing between conductors Vs wavelength.
The spacing between conductors is about 0.1 inches for RG-58. How many
times that value would you think it would take for a transmission line
to force its Z0 upon the signals? At 10 MHz, 2% of a wavelength (24 inches)
is about 250 times the spacing between conductors.
It seems different people have this conceptual model of "a
transmission line forcing its Z0 upon the signals" in a gradual way,
though differing propositions for the length of line that does not
behave as predicted by Zo.
An extension of that thinking is in the proposition that I have seen
that a Bird 43 cannot give valid readings unless there is at least a
quarter wave of 50 ohm line on each side of itself. In this case, the
magnitude of significantly affected line seems to be 25%, someone
else's is 2%, can they both be correct?
It seems to me that apart from the region of the significant
distortion of the fields local to some kind of discontinuity, that the
fields further along the line at a distance from the discontinuity
large compared to the dimension of the discontinuity (which will often
be the conductor spacing) should be as constrained by the physical
parameters of the line (V/I=Zo for each travelling wave).
In the case of the Bird 43, I suggest that if had, say, at 1MHz, 75
ohm line and a 75 ohm load on the load side, that the V/I raio for the
travelling waves in the region of the sampling element would be so
close to 50 ohms as to not materially affect the accuracy of
measurements on the 50 ohms coupler section, irrespective of the fact
that the sampling element has only 0.02% of a wavelength of 50 ohm
line on its load side.
(For avoidance of doubt, nothing in the foregoing is to imply the Bird
43 would be directly measuring or indicating the conditions on the 75
ohm line.)
Owen
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