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Cecil Moore September 29th 03 11:21 PM

Jim Kelley wrote:
To my way of thinking, rho is entirely dependent upon the impedances,
and the voltages (reflected voltages in particular) are dependent upon
rho. Not the other way around.


Even when the impedances are only V/I ratios? Seems like circular
logic to me. The V/I ratio causes rho which causes the voltage???
--
73, Cecil http://www.qsl.net/w5dxp



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Cecil Moore September 29th 03 11:32 PM

Tom Bruhns wrote:

Cecil Moore wrote:
Does it really hurt anything to remind everyone that +1 at 180 degrees
equals -1 at zero degrees?


No, and I already agreed with that in another posting in this thread.


When a piece of coax is shorted, we can calculate:

rho = (Z1-Z0)/(Z1+Z0) = (0-50)/(0+50) = -1

After that, we can say it really means +1 at 180 degrees but it is
mathematically consistent in either case.
--
73, Cecil http://www.qsl.net/w5dxp



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Richard Clark September 30th 03 12:14 AM

On Mon, 29 Sep 2003 17:14:38 -0500, Cecil Moore
wrote:
I give up trying to communicate with you


Hi Cecil,

You did that long ago and were in denial only till now.

73's
Richard Clark, KB7QHC

Jim Kelley September 30th 03 12:20 AM



Cecil Moore wrote:

Jim Kelley wrote:
To my way of thinking, rho is entirely dependent upon the impedances,
and the voltages (reflected voltages in particular) are dependent upon
rho. Not the other way around.


The V/I ratio causes rho which causes the voltage???


Nope. Rho is not dependent upon V/I ratios other than those at real
physical impedance discontinuities. I think you know that. V/I ratios
can vary with position along the line and are not constrained to
equalling Z0 or Zl.

I'm curious why you would ask.

73, Jim AC6XG

[email protected] September 30th 03 03:36 AM

Cecil Moore wrote:

Tom Bruhns wrote:

Cecil Moore wrote:
Does it really hurt anything to remind everyone that +1 at 180 degrees
equals -1 at zero degrees?


No, and I already agreed with that in another posting in this thread.


When a piece of coax is shorted, we can calculate:

rho = (Z1-Z0)/(Z1+Z0) = (0-50)/(0+50) = -1

After that, we can say it really means +1 at 180 degrees but it is
mathematically consistent in either case.


This has been repeated so frequently of late, without qualification,
that readers may begin to believe that it is true in general.

It is only true for the special case of single frequency sinusoidal
waveforms.

For more complex waveforms (consider square, sawtooth, step, for
example), negation and 180 degree phase shift are not the same
operation.

Since reflection coefficients (at least for lines with approximately
real Z0) work perfectly fine for these more complex waveforms, it
seems unwise to be thinking that negation and 180 degree phase
shift are the same.

For the example above, stick with rho = -1. It will help you solve
more problems that way.

....Keith

Cecil Moore September 30th 03 05:09 AM

Jim Kelley wrote:

Cecil Moore wrote:
The V/I ratio causes rho which causes the voltage???


Nope. Rho is not dependent upon V/I ratios other than those at real
physical impedance discontinuities. I think you know that. V/I ratios
can vary with position along the line and are not constrained to
equalling Z0 or Zl.


Consider the following:

Source---50 ohm feedline---+---1/2WL 150 ohm---50 ohm load

Isn't the 50 ohms that causes rho=0 on the 50 ohm feedline
simply the V/I ratio at point '+'?
--
73, Cecil http://www.qsl.net/w5dxp



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Cecil Moore September 30th 03 05:12 AM

wrote:
It is only true for the special case of single frequency sinusoidal
waveforms.


Which is the general case for a key-down ham transmitter.
--
73, Cecil
http://www.qsl.net/w5dxp



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Cecil Moore September 30th 03 05:19 AM

Richard Clark wrote:

wrote:
I give up trying to communicate with you


You did that long ago and were in denial only till now.


You created your own reality based on your feelings. Nobody
else is capable of experiencing it.
--
73, Cecil http://www.qsl.net/w5dxp



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Richard Clark September 30th 03 05:52 AM

On Mon, 29 Sep 2003 23:19:47 -0500, Cecil Moore
wrote:
You created your own reality based on your feelings. Nobody
else is capable of experiencing it.


Hi Cecil,

See? You haven't given up afterall!

Feelings hmmm? Yeah, I suppose I get pretty emotional over your wild
nonsense of sqrt of 1 could be -1. It's called laughing until your
sides ache (not really, more a chuckle). You need to ride your bike
more and skip the library.

Practice smiling once a day, read an eh posting from Stefano to break
the ice.

73's
Richard Clark, KB7QHC

[email protected] September 30th 03 11:56 AM

Cecil Moore wrote:

wrote:
It is only true for the special case of single frequency sinusoidal
waveforms.


Which is the general case for a key-down ham transmitter.


It is indeed the usual case, but limiting your thinking to the
usual case reduces your opportunity for understanding.

Believing too strongly in the usual case will inhibit your
ability to understand when you begin to explore more
general cases. First you will have to unlearn your beliefs.
If you have repeated them to yourself for too long without
understanding their limitations, you can find it very difficult
to let go of them even when they no longer serve.

It is therefore useful to occasionally remind yourself of
the limitations applicable to your assertions.

....Keith

Cecil Moore September 30th 03 02:41 PM

Richard Clark wrote:
Feelings hmmm? Yeah, I suppose I get pretty emotional over your wild
nonsense of sqrt of 1 could be -1.


It is well known that (-1)^2 = +1. You sometimes quote Johnson as a
reference. From Johnson, section 1.6, page 16: "The ratio 'k' is called
the reflection coefficient." "The terminating impedance is zero at this
end, provided the internal resistance of the generator is negligible;
hence for the generator end"

the reflection coefficient, "k(g) = -Z0/Z0 = -1"

--
73, Cecil http://www.qsl.net/w5dxp



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Cecil Moore September 30th 03 02:42 PM

wrote:

Cecil Moore wrote:

wrote:
It is only true for the special case of single frequency sinusoidal
waveforms.


Which is the general case for a key-down ham transmitter.


It is indeed the usual case, but limiting your thinking to the
usual case reduces your opportunity for understanding.


Can you give me an example of a key-down CW transmitter that is not
single frequency sinusoidal waveforms?
--
73, Cecil
http://www.qsl.net/w5dxp



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Richard Clark September 30th 03 04:38 PM

On Tue, 30 Sep 2003 08:41:06 -0500, Cecil Moore
wrote:

Richard Clark wrote:
Feelings hmmm? Yeah, I suppose I get pretty emotional over your wild
nonsense of sqrt of 1 could be -1.


It is well known that (-1)^2 = +1.


You cannot show that any two powers used to compute Rho are negative
to fulfill this shift of your logic.
I probably should have said rho^2 = Pref/Pfwd. When Pref = Pfwd,
rho can be plus or minus one.

Rho can never be plus or minus one on the basis of sqrt (Pref/Pfwd).
To insist otherwise is the joke that gets me emotional with the
chuckles and gets you into a huff claiming you can't talk about it.

You sometimes quote Johnson


Hi Cecil,

This again demonstrates how you are an unreliable correspondent. You
ascribe an action to me that is simply not true.
From Johnson, section 1.6, page 16:

Is NOT a citation. Who is Johnson? Certainly you feel free to
associate my name with him, but Dr. Samuel Johnson never said any such
thing in his life. Note that I always give full names and complete
titles to my citations - unreliable correspondents are lazy
correspondents who throw statement after statement against the wall
until one sticks and they call that their authority. Read any of Gene
Nygaard's postings for boundless examples.

Cecil, this laziness of yours is part and parcel to your poor
recitations and flawed logic. You squirm to pull away from your
absurd example of imparting direction of power flow based on an
erroneous concept of finding negativity extracted from a dependant
variable based on negative power ratios. You are attempting to recast
that argument into other equivalent terms of Rho, while maintaining
this charade of that same sign inversion supporting your un-referenced
direction issue. You cannot demonstrate the direction flow sign being
constructed from a negative Rho on the basis of sqrt(Pref/Pfwd).

If you feel you cannot communicate with me, you certainly have that
right; but for this issue I am not the only one and it is not due to
my lack of communication ability (as I am probably the only one here
credentialed to that matter).

73's
Richard Clark, KB7QHC

Cecil Moore September 30th 03 06:48 PM

Richard Clark wrote:
You cannot show that any two powers used to compute Rho are negative
to fulfill this shift of your logic.


It doesn't require either power to be negative. All it requires is a
short circuit. +1 simply has two square roots. rho = -1 for a short
circuit and rho = +1 for an open circuit. All (rho = -1) requires is a
short at the end of a transmission line as explained in _Transmission_
Lines_and_Networks_, by Walter C. Johnson when he was chairman of the
Princeton EE Dept. Here's how he calculated rho for a short:

rho = (Z1-Z0)/(Z1+Z0) = (0-Z0)/(0+Z0) = -Z0/Z0 = -1

So your argument is with Dr. Johnson whom I am merely quoting. The
(rho = -1) simply indicates a 180 degree phase shift in the reflected
voltage at the short.

From Johnson, section 1.6, page 16:

Is NOT a citation. Who is Johnson?


It doesn't surprise me a bit that you are ignorant of Johnson. In 1950,
his book was one of the series of McGraw-Hill Electrical and Electronic
Engineering Series with Terman as the consulting editor and containing
textbooks by Kraus, Skilling, Terman, and others.

... it is not due to
my lack of communication ability (as I am probably the only one here
credentialed to that matter).


Must be really difficult to communicate when you are so special as to
be the "only one here" who is "credentialed to that matter". Many of
the posters to this newsgroup have written books and articles which
I find to be communicated rather well.
--
73, Cecil http://www.qsl.net/w5dxp



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Richard Clark September 30th 03 07:25 PM

On Tue, 30 Sep 2003 12:48:32 -0500, Cecil Moore
wrote:

Richard Clark wrote:
You cannot show that any two powers used to compute Rho are negative
to fulfill this shift of your logic.


Walter C. Johnson when he was chairman of the
Princeton EE Dept. Here's how he calculated rho for a short:

rho = (Z1-Z0)/(Z1+Z0) = (0-Z0)/(0+Z0) = -Z0/Z0 = -1

So your argument is with Dr. Johnson whom I am merely quoting.


No my argument is with your perversion of yet another source in your
vain attempt to draw a faulty conclusion in applying direction as the
basis of the -1 drawn from your observation
I probably should have said rho^2 = Pref/Pfwd. When Pref = Pfwd,
rho can be plus or minus one.

I notice you continually flee from your assertion to prove a different
statement "Dr. Johnson" made.

It doesn't surprise me a bit that you are ignorant of Johnson.


The unreliable correspondent once again, in laziness, again fails to
offer which Johnson. Presumably Walter, but you don't say, and
several Dr. Johnsons have been employed as sources in this group.
Your characteristic failure to attend boundary conditions is
consistent with your inability to preserve your assertion that somehow
a negative association is made with the sqrt(Pref/Pfwd) and that it
proves a change of direction (wholly unsubstantiated by any but your
own Johnson).

Must be really difficult to communicate when you are so special as to
be the "only one here" who is "credentialed to that matter". Many of
the posters to this newsgroup have written books and articles which
I find to be communicated rather well.


And with whom you have such difficulty communicating with.

73's
Richard Clark, KB7QHC

Richard Harrison September 30th 03 08:44 PM

Cecil, W5DXP wrote:
'I probably should have said rho^2 = Pref / Pfwd, rho can be plus or
minus 1."

Terman mentions a power ratio at the bottom of page 97 of his 1955
edition:
"This definition of standing-wave ratio is sometimes called voltage
standing-wave ratio (VSWR) to distinguish it from the standing-wave
ratio expressed as a power ratio, which is (Emax / Emin) squared.

Best regards, Richard Harrison, KB5WZI


Jim Kelley September 30th 03 10:02 PM



Cecil Moore wrote:
Consider the following:

Source---50 ohm feedline---+---1/2WL 150 ohm---50 ohm load

Isn't the 50 ohms that causes rho=0 on the 50 ohm feedline
simply the V/I ratio at point '+'?


The nature of things a point '+' are undefined, so I can't address
that. But according to the way you defined the problem, the
characteristic impedance of the 50 ohm feedline is 50 ohms. That sets
the V/I ratio. The impedance is determined by the distributed
capacitances and inductances of the transmission line - not by the
voltage you put across it. Is there some other way I'm supposed to look
at it?

73, Jim AC6XG

Jim Kelley October 1st 03 12:01 AM

Cecil Moore wrote:
Isn't the 50 ohms that causes rho=0 on the 50 ohm feedline
simply the V/I ratio at point '+'?


I see now. Your interested in something else here, I think. The rho
for the whole network which includes both impedance discontinuities is
indeed zero. We've talked about that before. But the rho for the
single discontinuity at '+' is not equal to zero. The reflected
impedance (the load impedance, repeated a half wavelength away) is not
considered in the evaluation of rho at '+'. It is the characteristic
impedance of the line that is considered. You would agree, no?

73, Jim AC6XG

[email protected] October 1st 03 04:21 AM

Cecil Moore wrote:
All (rho = -1) requires is a
short at the end of a transmission line as explained in _Transmission_
Lines_and_Networks_, by Walter C. Johnson when he was chairman of the
Princeton EE Dept. Here's how he calculated rho for a short:

rho = (Z1-Z0)/(Z1+Z0) = (0-Z0)/(0+Z0) = -Z0/Z0 = -1

So your argument is with Dr. Johnson whom I am merely quoting. The
(rho = -1) simply indicates a 180 degree phase shift in the reflected
voltage at the short.


Quite false. Negation is not simply a 180 degree phase shift.

And if Walter C. Johnson is worthy of the respect he receives
here, he has certainly never said it is.

....Keith

Cecil Moore October 1st 03 05:06 AM

Jim Kelley wrote:

Cecil Moore wrote:
Consider the following:

Source---50 ohm feedline---+---1/2WL 150 ohm---50 ohm load

Isn't the 50 ohms that causes rho=0 on the 50 ohm feedline
simply the V/I ratio at point '+'?


The nature of things a point '+' are undefined,


Nope, they are not. The V/I ratio at '+' equals 50 ohms.

so I can't address
that. But according to the way you defined the problem, the
characteristic impedance of the 50 ohm feedline is 50 ohms. That sets
the V/I ratio. The impedance is determined by the distributed
capacitances and inductances of the transmission line - not by the
voltage you put across it. Is there some other way I'm supposed to look
at it?


There are no reflections on the 50 ohm feedline because it "sees" 50
ohms at point '+'. The 50 ohms seen at point '+' is a V/I ratio equal
to 50 ohms. So V affects rho. And rho causes that same V? See
the circular logic?
--
73, Cecil http://www.qsl.net/w5dxp



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Cecil Moore October 1st 03 05:16 AM

Jim Kelley wrote:

Cecil Moore wrote:
Isn't the 50 ohms that causes rho=0 on the 50 ohm feedline
simply the V/I ratio at point '+'?


I see now. Your interested in something else here, I think. The rho
for the whole network which includes both impedance discontinuities is
indeed zero. We've talked about that before. But the rho for the
single discontinuity at '+' is not equal to zero. The reflected
impedance (the load impedance, repeated a half wavelength away) is not
considered in the evaluation of rho at '+'. It is the characteristic
impedance of the line that is considered. You would agree, no?


I would agree if you were talking about s11. But rho on the coax is zero.
The impedance at '+' is 50 ohms. rho = (50-50)/(50+50) = sqrt(0/Pfwd) = 0
at point '+'. And that 50 ohms is a V/I ratio which, I assume, you would
agree cannot cause a voltage.
--
73, Cecil http://www.qsl.net/w5dxp



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Cecil Moore October 1st 03 05:39 AM

wrote:

Cecil Moore wrote:

All (rho = -1) requires is a
short at the end of a transmission line as explained in _Transmission_
Lines_and_Networks_, by Walter C. Johnson when he was chairman of the
Princeton EE Dept. Here's how he calculated rho for a short:

rho = (Z1-Z0)/(Z1+Z0) = (0-Z0)/(0+Z0) = -Z0/Z0 = -1

So your argument is with Dr. Johnson whom I am merely quoting. The
(rho = -1) simply indicates a 180 degree phase shift in the reflected
voltage at the short.


Quite false. Negation is not simply a 180 degree phase shift.


Yes, it is, in the reflected voltage. A short has a voltage rho of -1
indicating a 180 degree phase shift between the incident voltage and
the reflected voltage. An open has a voltage rho of +1 indicating no
phase shift between the incident voltage and reflected voltage. The
rho for current has the opposite sign from the rho for voltage at a
short and open. And sure enough, the reflected current is 180 degrees
out of phase with the reflected voltage.

And let's see about a few values. How about?

0.5 + j0.5 Vs -(0.5 + j0.5) or -0.5 + j0.5 Vs 0.5 - j0.5

Sure enough. The first value is at 45 degrees and the second value
is at 180+45 degrees. The third value is at 135 degrees and the
fourth value is at 180+135 degrees.

And if Walter C. Johnson is worthy of the respect he receives
here, he has certainly never said it is.


Refer to Fig. 1.13 on page 20. The voltage reflection coefficient
at the open end is +1. The current reflection coefficient at the
open end is -1.
--
73, Cecil
http://www.qsl.net/w5dxp



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Jim Kelley October 1st 03 06:07 PM

Cecil Moore wrote:
But rho on the coax is zero.


Coax doesn't have a 'rho' - unless it's broken or damaged coax.

The impedance at '+' is 50 ohms.


By virtue of reflection from the 50 ohm load.

rho = (50-50)/(50+50) = sqrt(0/Pfwd) = 0
at point '+'.


The same is true at points to the left of point '+' as well. So what?

And that 50 ohms is a V/I ratio which, I assume, you would
agree cannot cause a voltage.


As far as I know, V/I ratios don't "cause" anything.

73, Jim AC6XG

Jim Kelley October 1st 03 06:40 PM



Cecil Moore wrote:

Jim Kelley wrote:
The nature of things a point '+' are undefined,


Nope, they are not.


There can exist no real point where the characteristic line impedance is
both 50 ohms and 150 ohms.

There are no reflections on the 50 ohm feedline because it "sees" 50
ohms at point '+'.


Oh my gawd, somebody has brainwashed our Cecil! Maybe the pod people
have invaded Texas! :-)

What about cancelled reflected waves, destructive interference and all
that?

73, Jim AC6XG

Richard Harrison October 1st 03 06:42 PM

Jim, AC6XG wrote:
"As far as I know, V/I ratios don`t cause anything."

As symbols for load impedance, V/I ratios cause reflections when they
differ from the r-f transmission line surge impedance which feeds them.

Best rergards, Richard Harrison, KB5WZI


Jim Kelley October 1st 03 07:31 PM



Richard Harrison wrote:

Jim, AC6XG wrote:
"As far as I know, V/I ratios don`t cause anything."

As symbols for load impedance, V/I ratios cause reflections when they
differ from the r-f transmission line surge impedance which feeds them.

Best rergards, Richard Harrison, KB5WZI


Hi Richard,

Would it be fair to say then that you don't agree that only physical
boundaries cause reflections?

73, Jim AC6XG

Cecil Moore October 1st 03 08:18 PM

Jim Kelley wrote:
As far as I know, V/I ratios don't "cause" anything.


They sometimes cause 'rho' which then becomes an end
result and not the cause of anything. At a two-port
network with reflections, rho usually cannot be calculated
from the physical impedances involved. The moral is be
careful about saying that rho causes anything. Rho may
be only the end result of everything. The s11 reflection
coefficient doesn't suffer from that characteristic.
--
73, Cecil http://www.qsl.net/w5dxp



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Cecil Moore October 1st 03 08:37 PM

Jim Kelley wrote:

There can exist no real point where the characteristic line impedance is
both 50 ohms and 150 ohms.


I agree, and using the same logic, there also can be no such thing as real
steady-state conditions. That doesn't keep us from using it as a real concept.

+----------------
|
---------+
50 ohms 150 ohms
---------+
|
+----------------

You can draw a vertical line through the transition point. That vertical
line has zero width. Ergo, the 50 ohm to 150 ohm transition requires zero
length, conceptually, of course. But you knew that already. While you were
at it, why didn't you point out that there cannot exist a real characteristic
impedance exactly equal to 50 ohms or 150 ohms?

What about cancelled reflected waves, destructive interference and all
that?


I should have said there are no net reflections on the 50 ohm feedline.
There are two component reflections at point '+' that cancel each other
as illustrated by the s-parameter equation, b1 = s11*a1 + s12*a2 = 0
s11 is a reflection coefficient for a1 and s12 is a transmission coefficient
for a2, the voltage reflected from the load. Those two components have to
cancel for the b1 net reflections to equal zero.
--
73, Cecil http://www.qsl.net/w5dxp



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Cecil Moore October 1st 03 08:43 PM

Richard Harrison wrote:

Jim, AC6XG wrote:
"As far as I know, V/I ratios don`t cause anything."

As symbols for load impedance, V/I ratios cause reflections when they
differ from the r-f transmission line surge impedance which feeds them.


So can a V/I ratio cause reflections in the absence of a physical
impedance? For instance:

Source---50 ohm feedline---+---150 ohm feedline---450 ohms

The V/I ratio at point '+' is equal to 1350 ohms and the reflections
on the coax are the same as if a 1350 ohm resistor existed at point '+'.
So does the V/I=1350 ohms ratio cause the reflections at point 'x'?
Or is the reflected voltage, b1, equal to s11*a1 + s12*a2?
--
73, Cecil http://www.qsl.net/w5dxp



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Richard Harrison October 1st 03 09:29 PM

Jim, AC6XG wrote:
"Would it be fair to say that you don`t agree that only physical
boundaries cause reflections?"

A transmission line may be terminated in its surge impedance, yet
somewhere along the line suffer a discontinuity producing an impedance
irregularity and subsequent rteflection.

The line may be matched to its final load, yet have reflections on the
transmitter side of the irregularity. Terman illustrates this on page
118 of his 1955 edition.

Terman suggests several reflection possibilities::
"sharp bends, insulating supports, resistive joints, coupled circuits
and extraneous objects" as typical irregularities.

I am not persuaded that reflection is caused by anything other than a
physical discontinuity, but Terman includes "coupled circuits" in his
list, and I think this indicates a physical discontinuity may be
referred to a reflection point from elsewhere.

Best regards, Richard Harrison, KB5WZI



Jim Kelley October 1st 03 10:40 PM

Cecil Moore wrote:

Jim Kelley wrote:
As far as I know, V/I ratios don't "cause" anything.


They sometimes cause 'rho' which then becomes an end
result and not the cause of anything.


I disagree. Reflections are caused by real impedances not reflected
ones.
Have you changed your mind about this?

At a two-port
network with reflections, rho usually cannot be calculated
from the physical impedances involved.


It can certainly be done using the optical formulas for a pair of
boundaries.

For the two boundaries as a network, and we call rho at the first
boundary r12 and rho at the second boundary r23 then
rho(network) = (r12 + r23)/(1 + r12*r23) = 0. Note that if we use your
value for r12, the network generates a reflection. I note the utility
of negative rho in this example.

But, with a transmission line at odd multiples of lambda/4, rho for the
network would be at a maximum and the network equation would be
(r12 - r23)/(1 - r12*r23). In such a case you'd want to use a load
impedance that would provide a r23 of +.5. (x - 150)/(x + 150) = .5,
so x = 450.

The moral is be
careful about saying that rho causes anything. Rho may
be only the end result of everything.


No question that rho is the end result of a ratio of impedances. It's
been my view that, like the V/I ratios we were speaking about, rho is
not a cause but a result.

73, Jim AC6XG

Jim Kelley October 1st 03 10:44 PM



Cecil Moore wrote:

Jim Kelley wrote:

There can exist no real point where the characteristic line impedance is
both 50 ohms and 150 ohms.


I agree, and using the same logic, there also can be no such thing as real
steady-state conditions. That doesn't keep us from using it as a real concept.


No, but it made it difficult for me to anticipate every possible
observation you might want to make about what goes on at such a point.

73, Jim

Jim Kelley October 1st 03 11:22 PM



Richard Harrison wrote:
I am not persuaded that reflection is caused by anything other than a
physical discontinuity, but Terman includes "coupled circuits" in his
list, and I think this indicates a physical discontinuity may be
referred to a reflection point from elsewhere.


I see, yes. Interesting that he would distinguish and include "coupled
circuits". Why do you suppose he felt "coupled circuits" were somehow
different than other circuits?

73, Jim AC6XG

Cecil Moore October 2nd 03 04:24 AM

Jim Kelley wrote:
Cecil Moore wrote:

Jim Kelley wrote:
As far as I know, V/I ratios don't "cause" anything.


They sometimes cause 'rho' which then becomes an end
result and not the cause of anything.


I disagree. Reflections are caused by real impedances not reflected
ones. Have you changed your mind about this?


Where did I say rho causes reflections? I didn't! Your statement
does NOT disagree with my statement.

At a two-port
network with reflections, rho usually cannot be calculated
from the physical impedances involved.


It can certainly be done using the optical formulas for a pair of
boundaries.


Unfortunately, only the index of refraction of one of the boundaries
is known in my statement above. The index of refraction of the second
boundary is unknown, i.e. only the impedances at the two-port network
are known - the load is unknown.

No question that rho is the end result of a ratio of impedances. It's
been my view that, like the V/I ratios we were speaking about, rho is
not a cause but a result.


But earlier, I thought you said rho caused a result.
--
73, Cecil http://www.qsl.net/w5dxp



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Cecil Moore October 2nd 03 04:25 AM

Jim Kelley wrote:

Cecil Moore wrote:

Jim Kelley wrote:
There can exist no real point where the characteristic line impedance is
both 50 ohms and 150 ohms.


I agree, and using the same logic, there also can be no such thing as real
steady-state conditions. That doesn't keep us from using it as a real concept.


No, but it made it difficult for me to anticipate every possible
observation you might want to make about what goes on at such a point.


All that proves is that you are not omniscient. :-)
--
73, Cecil http://www.qsl.net/w5dxp



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Cecil Moore October 2nd 03 04:28 AM

Jim Kelley wrote:
I see, yes. Interesting that he would distinguish and include "coupled
circuits". Why do you suppose he felt "coupled circuits" were somehow
different than other circuits?


Additionally, exactly what does he mean by "coupled circuits"? Is a
perfect transformer a coupled circuit? I don't see why there would
be any reflections at a perfect transformer.
--
73, Cecil http://www.qsl.net/w5dxp



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Jim Kelley October 2nd 03 05:27 PM

Cecil Moore wrote:
All that proves is that you are not omniscient. :-)


Do you know anybody who is? :-)

73 de ac6xg

Jim Kelley October 2nd 03 05:36 PM



Cecil Moore wrote:

Unfortunately, only the index of refraction of one of the boundaries
is known in my statement above. The index of refraction of the second
boundary is unknown, i.e. only the impedances at the two-port network
are known - the load is unknown.


Only if you've forgotten what you said it was. :-) If it's unknown,
how could you have known what it was a half wavelength away? We are
speaking about the problem you posed yesterday, right?

No question that rho is the end result of a ratio of impedances. It's
been my view that, like the V/I ratios we were speaking about, rho is
not a cause but a result.


But earlier, I thought you said rho caused a result.


I'll repost what I said. If you find something in error, please
advise. Thanks.

"To my way of thinking, rho is entirely dependent upon the impedances,
and the voltages (reflected voltages in particular) are dependent upon
rho. Not the other way around."

73, Jim AC6XG

Cecil Moore October 2nd 03 06:21 PM

Jim Kelley wrote:

Cecil Moore wrote:
All that proves is that you are not omniscient. :-)


Do you know anybody who is? :-)


I know people who think they are. :-)
--
73, Cecil, W5DXP


Cecil Moore October 2nd 03 06:43 PM

Jim Kelley wrote:
If it's unknown,
how could you have known what it was a half wavelength away? We are
speaking about the problem you posed yesterday, right?


No, we are speaking about a statement I made unrelated to the problem
I posted. For that statement, the length of the feedline is unknown
and the load is unknown. What is known is the forward power and reflected
power on each side of the impedance discontinuity.

No question that rho is the end result of a ratio of impedances. It's
been my view that, like the V/I ratios we were speaking about, rho is
not a cause but a result.


But earlier, I thought you said rho caused a result.


"To my way of thinking, rho is entirely dependent upon the impedances,
and the voltages (reflected voltages in particular) are dependent upon
rho.


You said "rho is not a cause but a result" but then implied that
voltages are caused by (dependent upon) rho. Seems to me, rho
cannot both cause a voltage and be caused by a (voltage divided
by a current) which is an impedance upon which rho is dependent.
--
73, Cecil, W5DXP



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