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Jerry[_5_] September 4th 08 03:54 AM

Common and Differential Modalities
 

wrote in message
...
On Sep 3, 3:59 pm, Richard Clark wrote:
On Mon, 1 Sep 2008 09:26:26 -0700 (PDT), wrote:
In a perfect situation, with a balanced feedline, the only kind of
current and voltage you have IS common mode!


This statement above contains a serious error of perception while
trying to inhabit the debate over BalUns - and it probably corrupts
that topic too.

First - a circuit has at a minimum two conductors extending from a
source. A circuit by its nature is circular: for every charge carrier
that enters it, one must exit it. Continuity is a necessary condition
for a circuit. No continuity, no conduction, hence an "Open Circuit."

Second - those two conductors, if viewed at a remote point where they
are joined, have equal and opposite paths of current conduction - to
and from that point. This is from Kirchoff's law of currents.

Third - this is called Differential Mode current in anticipation of a
common modality.

Fourth - if that remote point of connection is replaced with a load,
there is a voltage across that load characterized by both the
unaltered directions of current, and its now altered magnitude of
current.

Fifth - this is called Differential Mode voltage in anticipation of a
common modality.

This completes the discussion of the Differential Mode.

If we expand upon this simple model of a source, two wires, and a load
and put it into the context of life as we know it; then the circuit
operates in the proximity of ground. By convention, ground is called
Common.

Ground, by convention is an infinite sink of charge of infinite
extent. Hence as a conductor, it is available everywhere - Common.
This ground may have either deliberate or accidental conductive
relationships to the Differential Circuit.

First - the linkage of ground to the differential circuit can be
through an Ohmic path, or by an inductive path, or by a capacitive
path. To support conduction, the circuit must contain two conductive
paths to ground through any combination of these linkages, and that
path must be complete. The apparent source driving conduction through
that path will be a combination of the differential source and the
differential load as each will have some relationship to ground.

Second - those two conductive paths, if viewed at a remote point
where they are joined, have equal and opposite paths of current
conduction - to and from that point. This is from Kirchoff's law of
currents.

Third - this is called Common Mode current.

Fourth - as the differential circuit is original and establishes both
the source and the load; then through the introduction of ground, this
Common Mode current is mixed with the original Differential Current
and analysis must be performed by substitutions to separate them.

Fifth - the apparent source presents the Common Mode voltage.

This completes the discussion of Common Mode.

The applications of a choke to either circuit is commonplace to
control each mode's current. It would appear through the context of
discussion in other threads that there is some confusion in what is
being choked, and how a choke is properly applied is confounded by
that confusion.

It follows that if the transmission line from the source to load
suffers from Common Mode currents, that this must be due to a Common
Mode voltage gradient extending from the source to the load. If
either lead of that transmission line pair were choked, this would
disrupt the Differential Mode. If both leads of the transmission line
pair were independently choked, this would only double the disruption.
However, if both leads were choked in parallel (both lines either
coiled as a pair rather than individually, or both lines penetrate a
lossy core) then their fields would be contained between them in the
Differential Mode, but their Common Mode path (they both share equal
conduction in the same direction due to the Common Mode voltage
gradient) will be snubbed.

Some BalUns employ these techniques - some don't. BalUns fail by the
degree that they don't when Common Mode, as a problem, is injected
into the circuit through imbalances. As balance in the proximity of
earth and many confounding nearby structures is a forgone failure,
choking is a practical necessity for correct BalUn performance. Any
issues of BalUn heatings are proof of this choking necessity, and
further proof of the demand for additional choking at that point (and
frequently elsewhere at wavelength relationships along the affected
line).

73's
Richard Clark, KB7QHC


Let me put it this way (again very simplifed): How do you explain a
residential 208V power source where you have 120 V from line 1 and
line 2 to ground but 240V with respect to each other. You 240V
household appliances operate this way. Ecept for the fact that the
lines are 120 degrees out of phase phase (insread of 180 because we
use a delta system instead of Y, but this is not that important for
this discussion) this is nearly a BALANCED feed, where lines 1 and 2
degrees out of phase at 60 Hz and the voltage of interest is the
summation of the two lines. Nearly every home in the USA operates this
way. In Europe, 240 V is usually obtained by the voltage difference
between line 1 (240V) and earth (0V). That is an unbalanced feed. You
can insert a 1:1 isolation transformer using the European system at
the input and create the balanced USA system at the output by drawing
+120 and -120 at from the output windings assigning imaginary isolated
earth at centertap. The isolated ground CANNOT conduct tio real ground
if the winding to winding impedance is infinity. Basically, hams' 1:1
baluns do much the same thing: They isolate the real ground as such
and prevent currents from flowing down the input ground shield. On
this ng in a short space I cannot think of a simpler way to express
this although I expect to see many statements (you can't equate 60Hz
to RF!). Yes you can; a transformer operates as a transformer in the
same wayat any frequency providing you design it properly for the
frequency of interest. This subject is not nearly so complicated as
some in this group makes it out to be and the topic certainly does not
rate articles in amateur publications any more than basic application
of ohm's law does.


Hi Dfinn

I realize that you have asked this question to Richard, who is far better
prepared to answer than I am. But, it seems that you are confused about
how two sine waves add. Maybe I am wrong, and you do know how two sine wave
voltages generated at different times and are connected in series combine to
being other than 180 degrees from terminal to terminal.
All the 208 power lines I am familiar with *are* 208 from terminal to
terminal when each leg is 120 "terminal to center". Where did you get the
"240"?

Jerry KD6JDJ



John Smith September 4th 08 03:54 AM

Baluns?
 
wrote:


A 1:1 balun IS an RF transformer. Lengths of transmission line wound
an air core can function as a 1:1 RF transformer. Does this in any way
show you the error you are making? Transformers operate in the same
way whether at 60Hz or RF. So much for your "No" statement which seems
to demonstrate a certain confidence masked in senility.


Actually, NO!

A 1:1 balun is a TLT, as stated, properly, by Ownen ...

But, what you speak of is frequently an RF Transformer ... how you keep
repeating that mistake speaks to your in ability to do research and
educate yourself ...

--
It is like a nightmare where the public servants are the people which
the police are supposed to protect us from!

John Smith September 4th 08 03:55 AM

Baluns?
 
Cecil Moore wrote:
wrote:
Nope. The CM choke works precisely because the common mode currents
are mirror images, 180 degrees out of phase.


You are 100% wrong. From "The IEEE Dictionary":
"common-mode (1)(general) The instantaneous algebraic
average of two signals applied to a balanced circuit,
both signals referred to a common reference."

The "instantaneous algebraic average of two signals"
180 degrees out of phase is ZERO.



--
It is like a nightmare where the public servants are the people which
the police are supposed to protect us from!

John Smith September 4th 08 03:56 AM

Baluns?
 
Cecil Moore wrote:
wrote:
Nope. The CM choke works precisely because the common mode currents
are mirror images, 180 degrees out of phase.


You are 100% wrong. From "The IEEE Dictionary":
"common-mode (1)(general) The instantaneous algebraic
average of two signals applied to a balanced circuit,
both signals referred to a common reference."

The "instantaneous algebraic average of two signals"
180 degrees out of phase is ZERO.


Cecil:

You must be getting old ... stop man! :-)

Regards,
JS

--
It is like a nightmare where the public servants are the people which
the police are supposed to protect us from!

Owen Duffy September 4th 08 04:30 AM

Common and Differential Modalities
 
"Jerry" wrote in
news:s5Ivk.448$sq3.441@trnddc07:
....
I realize that you have asked this question to Richard, who is far
better
prepared to answer than I am. But, it seems that you are confused
about how two sine waves add. Maybe I am wrong, and you do know how
two sine wave voltages generated at different times and are connected
in series combine to being other than 180 degrees from terminal to
terminal.
All the 208 power lines I am familiar with *are* 208 from terminal
to
terminal when each leg is 120 "terminal to center". Where did you
get the "240"?

Jerry KD6JDJ



Jerry, in the three wire system with 180° phase difference between Line1
and Line2 wrt Neutral (the centre wire) the voltage Line1 wrt Line2 is
exactly twice the Line1 to Neutral voltage.

You probably don't use the word Neutral over there, it is the word used
for four wire three phase systems and it is equally applicable for a
three wire two phase system where the Neutral wire carries the
"imbalance" current.

None of this is a good analogy to a two wire open transmission line at
radio frequencies, principally because the length of conductors at power
frequencies is usually a very small part of a wavelength and can be
approximated well using a simpler analytical model than the traditional
'Telegrapher's' equations applied to transmission lines.

Those who resort to explaining radio frequency transmission lines and
transformers using 60Hz models need to justify the accuracy / limits of
the approximation. The low frequency model does not explain high
frequency roll-off in RF transformers and inductors, so it is clearly
incomplete.

Almost all of this discussion is using lumped circuit analysis (a low
frequency model) to explain not just transmission lines, but conductors
with significant mutual coupling (the nominal radiator and its feedline).

Owen






[email protected] September 4th 08 04:42 AM

Baluns?
 
On Sep 3, 10:56*pm, John Smith wrote:
Cecil Moore wrote:
wrote:
Nope. The CM choke works precisely because the common mode currents
are mirror images, 180 degrees out of phase.


You are 100% wrong. From "The IEEE Dictionary":
"common-mode (1)(general) The instantaneous algebraic
average of two signals applied to a balanced circuit,
both signals referred to a common reference."


The "instantaneous algebraic average of two signals"
180 degrees out of phase is ZERO.


Cecil:

You must be getting old ... stop man! *:-)

Regards,
JS

--
It is like a nightmare where the public servants are the people which
the police are supposed to protect us from!


Yes, ZERO with respect to the isolated reference point. They are
measured with respect to each other, not ground. No current should
flow through the ground line if the feed is perfectly balanced.

Jerry[_5_] September 4th 08 04:47 AM

Common and Differential Modalities
 

"Owen Duffy" wrote in message
...
"Jerry" wrote in
news:s5Ivk.448$sq3.441@trnddc07:
...
I realize that you have asked this question to Richard, who is far
better
prepared to answer than I am. But, it seems that you are confused
about how two sine waves add. Maybe I am wrong, and you do know how
two sine wave voltages generated at different times and are connected
in series combine to being other than 180 degrees from terminal to
terminal.
All the 208 power lines I am familiar with *are* 208 from terminal
to
terminal when each leg is 120 "terminal to center". Where did you
get the "240"?

Jerry KD6JDJ



Jerry, in the three wire system with 180° phase difference between Line1
and Line2 wrt Neutral (the centre wire) the voltage Line1 wrt Line2 is
exactly twice the Line1 to Neutral voltage.

You probably don't use the word Neutral over there, it is the word used
for four wire three phase systems and it is equally applicable for a
three wire two phase system where the Neutral wire carries the
"imbalance" current.

None of this is a good analogy to a two wire open transmission line at
radio frequencies, principally because the length of conductors at power
frequencies is usually a very small part of a wavelength and can be
approximated well using a simpler analytical model than the traditional
'Telegrapher's' equations applied to transmission lines.

Those who resort to explaining radio frequency transmission lines and
transformers using 60Hz models need to justify the accuracy / limits of
the approximation. The low frequency model does not explain high
frequency roll-off in RF transformers and inductors, so it is clearly
incomplete.

Almost all of this discussion is using lumped circuit analysis (a low
frequency model) to explain not just transmission lines, but conductors
with significant mutual coupling (the nominal radiator and its feedline).

Owen

Hi Owen

My post to the other guy evidently read as though I was asking a question.
Actually I read the original post as to have errors and was expecting some
lanswer to justify how 120 degrees can be associated with a set of only 2
terminals. There is *no* 240 volt pair of terminals available in a 208/120
power system.
Here in "the states" 208/120 refers to a 3 phase system Y circuit. That
means there are 3 sets of single phase 120 volt circuits available at the
panel. Also available is a set of three terminals that are 208 volts 3
phase.

Jerry







[email protected] September 4th 08 04:47 AM

Common and Differential Modalities
 
On Sep 3, 11:30*pm, Owen Duffy wrote:
"Jerry" wrote innews:s5Ivk.448$sq3.441@trnddc07:
...

* I realize that you have asked this question to Richard, who is far
* better
prepared to answer than I am. * But, it seems that you are confused
about how two sine waves add. *Maybe I am wrong, and you do know how
two sine wave voltages generated at different times and are connected
in series combine to being other than 180 degrees from terminal to
terminal.
* All the 208 power lines I am familiar with *are* 208 from terminal
* to
terminal when each leg is 120 "terminal to center". * Where did you
get the "240"?


* * * * * * * * * * * *Jerry * KD6JDJ


Jerry, in the three wire system with 180° phase difference between Line1
and Line2 wrt Neutral (the centre wire) the voltage Line1 wrt Line2 is
exactly twice the Line1 to Neutral voltage.

You probably don't use the word Neutral over there, it is the word used
for four wire three phase systems and it is equally applicable for a
three wire two phase system where the Neutral wire carries the
"imbalance" current.

None of this is a good analogy to a two wire open transmission line at
radio frequencies, principally because the length of conductors at power
frequencies is usually a very small part of a wavelength and can be
approximated well using a simpler analytical model than the traditional
'Telegrapher's' equations applied to transmission lines.

Those who resort to explaining radio frequency transmission lines and
transformers using 60Hz models need to justify the accuracy / limits of
the approximation. The low frequency model does not explain high
frequency roll-off in RF transformers and inductors, so it is clearly
incomplete.

Almost all of this discussion is using lumped circuit analysis (a low
frequency model) to explain not just transmission lines, but conductors
with significant mutual coupling (the nominal radiator and its feedline).

Owen



- Hide quoted text -

- Show quoted text -


I found it difficult to go beyond the simplistic 60 Hz analogy in this
discussion to best decribe my concept (when writing on usenet). All
one can hope for is that the general idea comes out and hope people
realize that the variables you mention do exist as well and do not
detract from the very fundamental concepts.

[email protected] September 4th 08 04:59 AM

Baluns?
 
On Sep 3, 7:12*pm, Cecil Moore wrote:
wrote:
Nope. The CM choke works precisely because the common mode currents
are mirror images, 180 degrees out of phase.


You are 100% wrong. From "The IEEE Dictionary":
"common-mode (1)(general) The instantaneous algebraic
average of two signals applied to a balanced circuit,
both signals referred to a common reference."

The "instantaneous algebraic average of two signals"
180 degrees out of phase is ZERO.
--
73, Cecil *http://www.w5dxp.com


You reference line 1 to line 2. You put your RF voltmeter acroos the
two conductors. When doing so you measure two times the voltage that
line 1 or line 2 reads with respect to an imaginary isolated grounbd
at the centertap the line 1 or 2 measures separately with respect to
centertap. OF COURSE the summation of all points on the common
reference is zero at all locations at all times, that is why it is
called an isolated "ground"! That is why I said earlier you could
connect the centertap of the isolated CM side to real ground with no
effect on the circuit in an earlier post.

[email protected] September 4th 08 05:03 AM

Baluns?
 
On Sep 3, 7:18*pm, Cecil Moore wrote:
wrote:
I agree that a balun operating at 14 MHz would be a choke when
operating at 70MHz.


You would do well to agree that a well-designed W2DU balun
operating at 14 MHz is choking the heck out of the 14 MHz
common-mode current in order to achieve the balun function.

You seem to have the IEEE definitions of differential
signals and common-mode signals exactly reversed. Because
of that misconception, might you be the one who doesn't
understand how baluns work?
--
73, Cecil *http://www.w5dxp.com


Cecil, if a transmission line operated in the way you think, it would
be radiating fields all along its length transmitting RF all along the
length of the line. Nothing would get the antenna. The conductors in
the lines MUST carry mirror image currents and voltages to indeed
cause the cancellation of fileds you speak about. THAT is how energy
gets to the antenna. Ever hear of a ground loop?

[email protected] September 4th 08 05:08 AM

Baluns?
 
On Sep 3, 10:43*pm, John Smith wrote:
wrote:
...
I agree that a balun operating at 14 MHz would be a choke when
operating at 70MHz.


Oh, gee, then you would also agree that a ferrite core around a power
supply lead would begin to act as a reactance when the DC line had an AC
component travel its' conductive route--you will be happy to realize
most would concur! *ROFLOL

Lame ... need I really add more?

Regards,
JS
--
It is like a nightmare where the public servants are the people which
the police are supposed to protect us from!


I am not sure where you are coming from. Are you trying to say that
differential mode interference often exists alongside CM interference
and diff mode can be filtered by coiling phase wires over a ferrite
core? Works for me. I agree. Now, what has that got to do with the
discussion?

[email protected] September 4th 08 05:10 AM

Baluns?
 
On Sep 3, 10:45*pm, John Smith wrote:
wrote:

* ...





I wouldn't say it was choking the common mode.mode current, I would
say it is isolating it from diff mode current by simply creating an
isolated ground reference point (you could define it at centertap if
you were so inclined). Of course I would agree that the impedance
between diff mode current at the input and CM current in the output
had better be very high, infinity would be best, *but the finite
impedances to load and source respectively should match the balun. If
you want to call the ground isolation function "choking", that use of
this colloquialism is fine with me but FYI that is not the traditional
vernacular for that that application. Also, if the W2DU balun is
referred to as the "ugly balun", I do believe the use of a bifilar
winding around an air core to create an RF transformer has been around
for more than 100 years so I do not understand why it is so-named
after a contemporary ham. It is rather simple to go from bifilar
enameled copper to using the shield and inner conductor of a coax as
"bifilar" conductors. All of this stuff is pretty basic EE (Associate
level, not even Bachelors) and I hesitate to spend much more time on
it.


One thing I can say for sure, you are an idiot ... good luck.

What an utter waste of time ...

Regards,
JS


Coming from you that is a compliment. I recommend you stop wasting
your time on things you know nothing about. If you agreed with me,
then I would have to take another look at what I was saying.


[email protected] September 4th 08 05:12 AM

Baluns?
 
On Sep 3, 10:47*pm, John Smith wrote:
wrote:
...
Because the input and the out windings of the balun must be isolated
at least at RF of interest, OF COURSE there should be a high impedance
between the ballanced current flow and the unbalanced current flow.
However, the impedance of the source looking into the impedance from
the souurce should match source impedance and the impedance of the
load looking in the output winding of the balun should match the load
impedance (say 70 ohms, or 600 ohms or whatever your antenna or
trnasmission line impedance is. The impedence at frequency of interest
between input winding and output winding should be infinity for
isolation purposes (obviously you do not want to mix the unbalanced
input and balanced output currents.


Hey, are you just a plain idot, or someone who lacks any ability at all
to apply logic? *ROFLOL

In all my time here, years!, I have never seen as large an idiot as you!
* My Gawd, you make the dummies here begin to seem logical!


Please plonk me. I don't know how to plonk you using this google web
interface...unless you have instructions. I note you do a lot of
plonking. And its not due to the heat, it's the senility.

John Smith September 4th 08 05:12 AM

Common and Differential Modalities
 
Jerry wrote:

...
I realize that you have asked this question to Richard, who is far better
prepared to answer than I am.
...
Jerry KD6JDJ



Huh, didn't know you liked Shakespeare that much. Let me get to the
library and dust off the old tomes for you ...

Regards,
JS

--
It is like a nightmare where the public servants are the people which
the police are supposed to protect us from!

John Smith September 4th 08 05:15 AM

Common and Differential Modalities
 
Jerry wrote:
... was expecting some

lanswer ...
...

Jerry


Good, you are expecting it then, an lanswer (lame answer.)

Regards,
JS

--
It is like a nightmare where the public servants are the people which
the police are supposed to protect us from!

[email protected] September 4th 08 05:16 AM

Common and Differential Modalities
 
On Sep 3, 10:54*pm, "Jerry" wrote:
wrote in message

...
On Sep 3, 3:59 pm, Richard Clark wrote:





On Mon, 1 Sep 2008 09:26:26 -0700 (PDT), wrote:
In a perfect situation, with a balanced feedline, the only kind of
current and voltage you have IS common mode!


This statement above contains a serious error of perception while
trying to inhabit the debate over BalUns - and it probably corrupts
that topic too.


First - a circuit has at a minimum two conductors extending from a
source. A circuit by its nature is circular: for every charge carrier
that enters it, one must exit it. Continuity is a necessary condition
for a circuit. No continuity, no conduction, hence an "Open Circuit."


Second - those two conductors, if viewed at a remote point where they
are joined, have equal and opposite paths of current conduction - to
and from that point. This is from Kirchoff's law of currents.


Third - this is called Differential Mode current in anticipation of a
common modality.


Fourth - if that remote point of connection is replaced with a load,
there is a voltage across that load characterized by both the
unaltered directions of current, and its now altered magnitude of
current.


Fifth - this is called Differential Mode voltage in anticipation of a
common modality.


This completes the discussion of the Differential Mode.


If we expand upon this simple model of a source, two wires, and a load
and put it into the context of life as we know it; then the circuit
operates in the proximity of ground. By convention, ground is called
Common.


Ground, by convention is an infinite sink of charge of infinite
extent. Hence as a conductor, it is available everywhere - Common.
This ground may have either deliberate or accidental conductive
relationships to the Differential Circuit.


First - the linkage of ground to the differential circuit can be
through an Ohmic path, or by an inductive path, or by a capacitive
path. To support conduction, the circuit must contain two conductive
paths to ground through any combination of these linkages, and that
path must be complete. The apparent source driving conduction through
that path will be a combination of the differential source and the
differential load as each will have some relationship to ground.


Second - those two conductive paths, if viewed at a remote point
where they are joined, have equal and opposite paths of current
conduction - to and from that point. This is from Kirchoff's law of
currents.


Third - this is called Common Mode current.


Fourth - as the differential circuit is original and establishes both
the source and the load; then through the introduction of ground, this
Common Mode current is mixed with the original Differential Current
and analysis must be performed by substitutions to separate them.


Fifth - the apparent source presents the Common Mode voltage.


This completes the discussion of Common Mode.


The applications of a choke to either circuit is commonplace to
control each mode's current. It would appear through the context of
discussion in other threads that there is some confusion in what is
being choked, and how a choke is properly applied is confounded by
that confusion.


It follows that if the transmission line from the source to load
suffers from Common Mode currents, that this must be due to a Common
Mode voltage gradient extending from the source to the load. If
either lead of that transmission line pair were choked, this would
disrupt the Differential Mode. If both leads of the transmission line
pair were independently choked, this would only double the disruption.
However, if both leads were choked in parallel (both lines either
coiled as a pair rather than individually, or both lines penetrate a
lossy core) then their fields would be contained between them in the
Differential Mode, but their Common Mode path (they both share equal
conduction in the same direction due to the Common Mode voltage
gradient) will be snubbed.


Some BalUns employ these techniques - some don't. BalUns fail by the
degree that they don't when Common Mode, as a problem, is injected
into the circuit through imbalances. As balance in the proximity of
earth and many confounding nearby structures is a forgone failure,
choking is a practical necessity for correct BalUn performance. Any
issues of BalUn heatings are proof of this choking necessity, and
further proof of the demand for additional choking at that point (and
frequently elsewhere at wavelength relationships along the affected
line).


73's
Richard Clark, KB7QHC


Let me put it this way (again very simplifed): How do you explain a
residential 208V power source where you have 120 V from line 1 and
line 2 to ground but 240V with respect to each other. You 240V
household appliances operate this way. Ecept for the fact that the
lines are 120 degrees out of phase phase (insread of 180 because we
use a delta system instead of Y, but this is not that important for
this discussion) this is nearly a BALANCED feed, where lines 1 and 2
degrees out of phase at 60 Hz and the voltage of interest is the
summation of the two lines. Nearly every home in the USA operates this
way. In Europe, 240 V is usually obtained by the voltage difference
between line 1 (240V) and earth (0V). That is an unbalanced feed. You
can insert a 1:1 isolation transformer using the European system at
the input and create the balanced USA system at the output by drawing
+120 and -120 at from the output windings assigning imaginary isolated
earth at centertap. The isolated ground CANNOT conduct tio real ground
if the winding to winding impedance is infinity. Basically, hams' 1:1
baluns do much the same thing: They isolate the real ground as such
and prevent currents from flowing down the input ground shield. On
this ng in a short space I cannot think of a simpler way to express
this although I expect to see many statements (you can't equate 60Hz
to RF!). Yes you can; a transformer operates as a transformer in the
same wayat any frequency providing you design it properly for the
frequency of interest. This subject is not nearly so complicated as
some in this group makes it out to be and the topic certainly does not
rate articles in amateur publications any more than basic application
of ohm's law does.

* Hi Dfinn

* I realize that you have asked this question to Richard, who is far better
prepared to answer than I am. * But, it seems that you are confused about
how two sine waves add. *Maybe I am wrong, and you do know how two sine wave
voltages generated at different times and are connected in series combine to
being other than 180 degrees from terminal to terminal.
* All the 208 power lines I am familiar with *are* 208 from terminal to
terminal when each leg is 120 "terminal to center". * Where did you get the
"240"?

* * * * * * * * * * * *Jerry * KD6JDJ- Hide quoted text -

- Show quoted text -


I tried to explain this one failure in my model; it is truely of phase
difference of 120 degree, thus you get only 240/SQRT(3) = 208 RMC when
measuring from phase 1 relative to phase 2. The cure is to imagine a Y
network instead of a delta network; it is much easier to conceptualize
but they are not used so much in the US anymore

John Smith September 4th 08 05:17 AM

Common and Differential Modalities
 
wrote:

...
I found it difficult to go beyond the simplistic 60 Hz analogy in this
discussion to best decribe my concept (when writing on usenet). All
one can hope for is that the general idea comes out and hope people
realize that the variables you mention do exist as well and do not
detract from the very fundamental concepts.


Hmmm, and no wonder ... ever attempt to modulate a 60 hz signal?

Regards,
JS

--
It is like a nightmare where the public servants are the people which
the police are supposed to protect us from!

[email protected] September 4th 08 05:17 AM

Baluns?
 
On Sep 3, 10:54*pm, John Smith wrote:
wrote:

A 1:1 balun IS an RF transformer. Lengths of transmission line wound
an air core can function as a 1:1 RF transformer. Does this in any way
show you the error you are making? Transformers operate in the same
way whether at 60Hz or RF. So much for your "No" statement which seems
to demonstrate a certain confidence masked in senility.


Actually, NO!

A 1:1 balun is a TLT, as stated, properly, by Ownen ...

But, what you speak of is frequently an RF Transformer ... how you keep
repeating that mistake speaks to your in ability to do research and
educate yourself ...


it's not the heat it's the senility

Richard Clark September 4th 08 05:18 AM

Common and Differential Modalities
 
On Wed, 3 Sep 2008 16:14:23 -0700 (PDT), wrote:

Let me put it this way (again very simplifed): How do you explain a
residential 208V power source where you have 120 V from line 1 and
line 2 to ground but 240V with respect to each other.


I have explained it and I see nothing in your query that changes any
particular. Multiple phases compounds the complexity, it doesn't
change first principles. The terminology and usage have been long
established and I have described everything by those conventions.

I cannot think of a simpler way to express
this although I expect to see many statements (you can't equate 60Hz
to RF!). Yes you can; a transformer operates as a transformer in the
same wayat any frequency providing you design it properly for the
frequency of interest.


RF transmission line transformers DO NOT HAVE TO employ squared turns
ratios linked through magnetic flux. The purpose of successful BalUn
core designs is to isolate input from output, not to perform magnetic
coupling. Hence the topic of choking being so tightly conjoined with
RF Z transformation.

Modern BalUns, by this design, exhibit far wider bandwidths of
operation than would be exhibited by traditional flux linked
transformers. More so, the cores used for modern BalUns would roast
in a millisecond under those traditional flux linked conditions where
they can easily pass huge amounts of power differentially, and
suppress Common Mode currents.

The two design principles are vastly different, but serve the same
goal and employ the same terminology: both being called
"transformers." One very obvious confounding example to flux linkage
is the halfwave coaxial BalUn that is fed in parallel and loaded in
series to transform the unbalanced line input from 50 Ohms to the
balanced load output of 200 Ohms. No cores or turns ratios were
employed to accomplish what the isolation of the line provided
naturally. It is confined to a narrow range of frequency, but
conceptually replacing the isolation of line length with the
application of choking extends its coverage by orders of magnitude.

This subject is not nearly so complicated as
some in this group makes it out to be and the topic certainly does not
rate articles in amateur publications any more than basic application
of ohm's law does.


Choking, shielding, and isolation - all of a piece - is a very
complicated topic and generally dismissed inappropriately. The
complexity lies in the breadth of application demands. Analysis
proceeds by simple concepts, certainly, but this does not abstract to
simple solutions.

I will again repeat the admonition that choking a transmission line
does NOT choke each lead individually (which appears to be your sole
experience dominated by RFI suppression in 60Hz applications). If
this singular statement is cryptic, then you should invest your energy
in the study of how the core isolates the input from the output of any
"Guanella BalUn." A perfectly good tutorial has already been
recommended to you by Roy.

73's
Richard Clark, KB7QHC

John Smith September 4th 08 05:20 AM

Baluns?
 
wrote:

...
Yes, ZERO with respect to the isolated reference point. They are
measured with respect to each other, not ground. No current should
flow through the ground line if the feed is perfectly balanced.


Yes, ZERO. The progress you have made since you have began wasting you
time here ...

Regards,
JS

--
It is like a nightmare where the public servants are the people which
the police are supposed to protect us from!

John Smith September 4th 08 05:21 AM

Baluns?
 
wrote:

...
You reference line 1 to line 2. You put your RF voltmeter acroos the
two conductors. When doing so you measure two times the voltage that
line 1 or line 2 reads with respect to an imaginary isolated grounbd
at the centertap the line 1 or 2 measures separately with respect to
centertap. OF COURSE the summation of all points on the common
reference is zero at all locations at all times, that is why it is
called an isolated "ground"! That is why I said earlier you could
connect the centertap of the isolated CM side to real ground with no
effect on the circuit in an earlier post.


Yanno, I think you have Legos confused with antennas. What does it say
on that box that your mom bought you?

Regards,
JS

--
It is like a nightmare where the public servants are the people which
the police are supposed to protect us from!

John Smith September 4th 08 05:23 AM

Baluns?
 
wrote:

...
Coming from you that is a compliment. I recommend you stop wasting
your time on things you know nothing about. If you agreed with me,
then I would have to take another look at what I was saying.


Yes, well, I am quite happy you are pleased ... hey, are you related to
richard?

Regards,
JS

--
It is like a nightmare where the public servants are the people which
the police are supposed to protect us from!

John Smith September 4th 08 05:26 AM

Baluns?
 
wrote:

...
I am not sure where you are coming from. Are you trying to say that
differential mode interference often exists alongside CM interference
and diff mode can be filtered by coiling phase wires over a ferrite
core? Works for me. I agree. Now, what has that got to do with the
discussion?


Fool, I think "differential mode" is the "mode of the day!" (gawd I hate
that word ... :-( )

However, common mode, as many have tried to explain to you, is a bad
trip ... but then, you should know that.

Regards,
JS

--
It is like a nightmare where the public servants are the people which
the police are supposed to protect us from!

John Smith September 4th 08 05:28 AM

Baluns?
 
wrote:

...
Please plonk me. I don't know how to plonk you using this google web
interface...unless you have instructions. I note you do a lot of
plonking. And its not due to the heat, it's the senility.


Naw, I take a particular bizarre interest in serial murders, rapists,
etc. The wife and I just can't get enough of those weird crime shows
.... you are even better than that/those!

Regards,
JS

--
It is like a nightmare where the public servants are the people which
the police are supposed to protect us from!

John Smith September 4th 08 05:31 AM

Common and Differential Modalities
 
Richard Clark wrote:

...

73's
Richard Clark, KB7QHC


By all means, proceed. However, fair warning, I stopped reading any
posts, by you, long ago ... I find that all I can muster is caustic
comments from here on out ...

Regards,
JS

--
It is like a nightmare where the public servants are the people which
the police are supposed to protect us from!

John Smith September 4th 08 05:33 AM

Baluns?
 
wrote:

...
it's not the heat it's the senility


Be careful, a heat rash like that in the pubic area might be the sign of
a larger problem ... perhaps the whores on 65th street are better left
to themselves ... something to consider anyway.

Regards,
JS

--
It is like a nightmare where the public servants are the people which
the police are supposed to protect us from!

Richard Clark September 4th 08 05:48 AM

Common and Differential Modalities
 
On Wed, 03 Sep 2008 19:49:55 -0700, John Smith
wrote:

My gawd,

inappropriately addressed - but accepted nonetheless.
an idiot which

who
takes a hundrend

hundred
sentences to say

write
a simple point
is little better than an idiot which

who
cannot even generate

write
one sentence!


Only a little better? Do you have a sentence, or is this another
obscure sentiment?

73's
Richard Clark, KB7QHC

Sal M. Onella September 4th 08 06:25 AM

Baluns?
 

"Mike Coslo" wrote in message
36...

Do your prayers make any difference, they really don't, because God knew
you were going to pray, and he knew his response. You had no choice. You
did what you did because God made you do it that way.

This of course means that God knows the predestination of every person he
created, which means that he knew that he was knowingly condemming a whole
lot of people to an eternity of torture.


I picked up on these and other inconsistencies in the early 1970s. I've
been an atheist ever since.

I wish some few atheists weren't such activists about it, though. It gives
us bad PR and turns atheism into a religion.



Jerry[_5_] September 4th 08 08:11 AM

Common and Differential Modalities
 

wrote in message
...
On Sep 3, 10:54 pm, "Jerry" wrote:
wrote in message

...
On Sep 3, 3:59 pm, Richard Clark wrote:





On Mon, 1 Sep 2008 09:26:26 -0700 (PDT), wrote:
In a perfect situation, with a balanced feedline, the only kind of
current and voltage you have IS common mode!


This statement above contains a serious error of perception while
trying to inhabit the debate over BalUns - and it probably corrupts
that topic too.


First - a circuit has at a minimum two conductors extending from a
source. A circuit by its nature is circular: for every charge carrier
that enters it, one must exit it. Continuity is a necessary condition
for a circuit. No continuity, no conduction, hence an "Open Circuit."


Second - those two conductors, if viewed at a remote point where they
are joined, have equal and opposite paths of current conduction - to
and from that point. This is from Kirchoff's law of currents.


Third - this is called Differential Mode current in anticipation of a
common modality.


Fourth - if that remote point of connection is replaced with a load,
there is a voltage across that load characterized by both the
unaltered directions of current, and its now altered magnitude of
current.


Fifth - this is called Differential Mode voltage in anticipation of a
common modality.


This completes the discussion of the Differential Mode.


If we expand upon this simple model of a source, two wires, and a load
and put it into the context of life as we know it; then the circuit
operates in the proximity of ground. By convention, ground is called
Common.


Ground, by convention is an infinite sink of charge of infinite
extent. Hence as a conductor, it is available everywhere - Common.
This ground may have either deliberate or accidental conductive
relationships to the Differential Circuit.


First - the linkage of ground to the differential circuit can be
through an Ohmic path, or by an inductive path, or by a capacitive
path. To support conduction, the circuit must contain two conductive
paths to ground through any combination of these linkages, and that
path must be complete. The apparent source driving conduction through
that path will be a combination of the differential source and the
differential load as each will have some relationship to ground.


Second - those two conductive paths, if viewed at a remote point
where they are joined, have equal and opposite paths of current
conduction - to and from that point. This is from Kirchoff's law of
currents.


Third - this is called Common Mode current.


Fourth - as the differential circuit is original and establishes both
the source and the load; then through the introduction of ground, this
Common Mode current is mixed with the original Differential Current
and analysis must be performed by substitutions to separate them.


Fifth - the apparent source presents the Common Mode voltage.


This completes the discussion of Common Mode.


The applications of a choke to either circuit is commonplace to
control each mode's current. It would appear through the context of
discussion in other threads that there is some confusion in what is
being choked, and how a choke is properly applied is confounded by
that confusion.


It follows that if the transmission line from the source to load
suffers from Common Mode currents, that this must be due to a Common
Mode voltage gradient extending from the source to the load. If
either lead of that transmission line pair were choked, this would
disrupt the Differential Mode. If both leads of the transmission line
pair were independently choked, this would only double the disruption.
However, if both leads were choked in parallel (both lines either
coiled as a pair rather than individually, or both lines penetrate a
lossy core) then their fields would be contained between them in the
Differential Mode, but their Common Mode path (they both share equal
conduction in the same direction due to the Common Mode voltage
gradient) will be snubbed.


Some BalUns employ these techniques - some don't. BalUns fail by the
degree that they don't when Common Mode, as a problem, is injected
into the circuit through imbalances. As balance in the proximity of
earth and many confounding nearby structures is a forgone failure,
choking is a practical necessity for correct BalUn performance. Any
issues of BalUn heatings are proof of this choking necessity, and
further proof of the demand for additional choking at that point (and
frequently elsewhere at wavelength relationships along the affected
line).


73's
Richard Clark, KB7QHC


Let me put it this way (again very simplifed): How do you explain a
residential 208V power source where you have 120 V from line 1 and
line 2 to ground but 240V with respect to each other. You 240V
household appliances operate this way. Ecept for the fact that the
lines are 120 degrees out of phase phase (insread of 180 because we
use a delta system instead of Y, but this is not that important for
this discussion) this is nearly a BALANCED feed, where lines 1 and 2
degrees out of phase at 60 Hz and the voltage of interest is the
summation of the two lines. Nearly every home in the USA operates this
way. In Europe, 240 V is usually obtained by the voltage difference
between line 1 (240V) and earth (0V). That is an unbalanced feed. You
can insert a 1:1 isolation transformer using the European system at
the input and create the balanced USA system at the output by drawing
+120 and -120 at from the output windings assigning imaginary isolated
earth at centertap. The isolated ground CANNOT conduct tio real ground
if the winding to winding impedance is infinity. Basically, hams' 1:1
baluns do much the same thing: They isolate the real ground as such
and prevent currents from flowing down the input ground shield. On
this ng in a short space I cannot think of a simpler way to express
this although I expect to see many statements (you can't equate 60Hz
to RF!). Yes you can; a transformer operates as a transformer in the
same wayat any frequency providing you design it properly for the
frequency of interest. This subject is not nearly so complicated as
some in this group makes it out to be and the topic certainly does not
rate articles in amateur publications any more than basic application
of ohm's law does.

Hi Dfinn

I realize that you have asked this question to Richard, who is far better
prepared to answer than I am. But, it seems that you are confused about
how two sine waves add. Maybe I am wrong, and you do know how two sine
wave
voltages generated at different times and are connected in series combine
to
being other than 180 degrees from terminal to terminal.
All the 208 power lines I am familiar with *are* 208 from terminal to
terminal when each leg is 120 "terminal to center". Where did you get the
"240"?

Jerry KD6JDJ- Hide quoted text -

- Show quoted text -


I tried to explain this one failure in my model; it is truely of phase
difference of 120 degree, thus you get only 240/SQRT(3) = 208 RMC when
measuring from phase 1 relative to phase 2. The cure is to imagine a Y
network instead of a delta network; it is much easier to conceptualize
but they are not used so much in the US anymore

Hi Dfinn

Where do you measure voltages on any two terminals to get a 120 degree
phase reading in
a three phase system? How do you divide 240 by the square root of 3 and
get 208?

Jerry KD6JDJ





Cecil Moore[_2_] September 4th 08 11:56 AM

Baluns?
 
wrote:
If
you want to call the ground isolation function "choking", that use of
this colloquialism is fine with me but FYI that is not the traditional
vernacular for that that application.


In 1953, my first ham transmitter had an RF choke to allow
DC to reach the 6146 plate while choking the RF thus forcing
it to follow a different path through the pi-net. RF "chokes"
have been around since before I was born.

From "The IEEE Dictionary": "choke - a device for preventing
energy ... in a given frequency range from taking an undesired
path."

That's exactly what the RF choke in my Globe Scout did in
1953 and that's exactly how a W2DU balun works today.
--
73, Cecil
http://www.w5dxp.com

Cecil Moore[_2_] September 4th 08 12:51 PM

Baluns?
 
wrote:
Again, you seem to have the IEEE definitions of "differential"
and "common-mode" exactly reversed in your head.


Really? Do you believe the currents in a resonant 1/2 wave dipole are
common mode or differential mode?


Assume it is a 1/2WL wire in free space. Where
is the common reference?

I've heard antenna currents called "common-mode"
currents but neither Kraus nor Balanis call those
currents "common-mode". They are usually called
"antenna currents" (in phase, radiating) vs
"transmission line currents" (out of phase, non-
radiating).

In any case, differential currents on a transmission
line are 180 degrees out of phase and ideally, non-
radiating. Common-mode currents on a transmission
line are in phase and radiate. The currents in a
folded dipole are in phase and radiate.

Within a ferrite toroid wired in a 1:1 current-choke-
balun configuration, common-mode current induces flux
in the toroid with virtually none from differential mode.
If the device is made out of turns of coax, the differential
currents never see the choking impedance.
--
73, Cecil
http://www.w5dxp.com

Cecil Moore[_2_] September 4th 08 01:34 PM

Baluns?
 
wrote:
Cecil, if a transmission line operated in the way you think, it would
be radiating fields all along its length transmitting RF all along the
length of the line.


False! This is easy to visualize and prove. Given a 1/2WL
folded dipole fed with 300 ohm balanced line:

1. Do the out-of-phase differential transmission line
currents radiate? Ideally - NO!, because the fields
from the two wires engage in destructive interference
and cancel.

2. Do the in-phase antenna currents radiate? YES!, just
as they are supposed to do because the fields from the
two wires engage in constructive interference and re-
enforce each other.

Let's look at the balanced output terminals of the current
balun at the source. Instantaneous current is flowing out
of one terminal while instantaneous current is flowing into
the other terminal. I'm sorry, but that is differential,
transmission line current.
--
73, Cecil
http://www.w5dxp.com

[email protected] September 5th 08 03:34 AM

Baluns?
 
On Sep 4, 7:51*am, Cecil Moore wrote:
wrote:
Again, you seem to have the IEEE definitions of "differential"
and "common-mode" exactly reversed in your head.


Really? Do you believe the currents in a resonant 1/2 wave dipole are
common mode or differential mode?


Assume it is a 1/2WL wire in free space. Where
is the common reference?


There is none unless you choose to define one. You could go halfway
down the output choke and call it "common refrerence" or "isolated
ground" or whatever you want to call it. Since there usually no need
to reference it axcept perhaps for tutorial purposes, I wouldn't call
it anything. You could also reference it to earth ground but only if
you physically connected it to the aforementioned centertap.

I've heard antenna currents called "common-mode"
currents but neither Kraus nor Balanis call those
currents "common-mode". They are usually called
"antenna currents" (in phase, radiating) vs
"transmission line currents" (out of phase, non-
radiating).

In any case, differential currents on a transmission
line are 180 degrees out of phase and ideally, non-
radiating. Common-mode currents on a transmission
line are in phase and radiate. The currents in a
folded dipole are in phase and radiate.


The ideal transmission line is common mode and does not radiate
because the fields cancel as you said earlier. The dipole antenna is
ALSO common mode but the fileds do NOT cancel because the conductors
are physically 180 degrees apart from each other so they cannot
interfere with each other; instead the fields radiate into free space
rather than cancel each other out. It is rather simple really. It is
correct to call antenna currents "common mode currents". If the
currents on a transmission line are differential, how would (COULD)
they be converted to common mode currents on the antenna? We would
need a 180 degree phase shift somewhere. Answer: the currents on both
the transmission line and the antenna are common mode.

Within a ferrite toroid wired in a 1:1 current-choke-
balun configuration, common-mode current induces flux
in the toroid with virtually none from differential mode.
If the device is made out of turns of coax, the differential
currents never see the choking impedance.


Which explains why you should call it a balun and not a choke. If the
balun and source impedances match there should be no choking
impedance; maximum power trnasfer should occur.

--
73, Cecil *http://www.w5dxp.com



Cecil Moore[_2_] September 5th 08 12:23 PM

Baluns?
 
wrote:
The ideal transmission line is common mode and does not radiate
because the fields cancel as you said earlier. The dipole antenna is
ALSO common mode but the fileds do NOT cancel because the conductors
are physically 180 degrees apart from each other so they cannot
interfere with each other; instead the fields radiate into free space
rather than cancel each other out.


If transmission line currents were common-mode, they would radiate
like crazy and would be an antenna instead of a transmission line.
When one shorts the two wires together and feeds the system Marconi
style against ground, then the currents are common-mode. (Please
switch your news-reader to fixed font). A '+' indicates a connection,
not polarity.

+--------------------
| current reference
(V)
| Differential currents to antenna
+--------------------
Normal Transmission Line mode designed not to radiate


+----+------------------
| | current reference
(V) |
| | Common-mode currents (becomes antenna)
| +------------------
GND Marconi Style feed designed to radiate

If the
currents on a transmission line are differential, how would (COULD)
they be converted to common mode currents on the antenna? We would
need a 180 degree phase shift somewhere.


I'm glad you asked. When we take the last 1/4WL of transmission
line and open it up into a dipole, we have rotated one wire by
-90 degrees and the other wire by +90 degrees. That's a 180 degree
difference. The transmission line currents are 180 degrees out of
phase. The extra 180 degrees of physical rotation subtracts from
the 180 degrees in the transmission line for a total of zero
degrees (in phase) at the antenna feedpoint. This is explained
in detail in "Antenna Theory", by Balanis, 2nd edition, page 18.
I will try to duplicate it here using fixed font ASCII graphics.

In Phase Antenna Currents
--------------------+ +--------------------
| |
| |
+------------------+ |
(V) Differential |
+--------------------+
Transmission Line Currents

Note the out of phase currents in the transmission line results
in in-phase currents in the dipole antenna.
--
73, Cecil
http://www.w5dxp.com

Michael Coslo September 5th 08 03:57 PM

Baluns?
 
Sal M. Onella wrote:
"Mike Coslo" wrote in message
36...
Do your prayers make any difference, they really don't, because God knew
you were going to pray, and he knew his response. You had no choice. You
did what you did because God made you do it that way.

This of course means that God knows the predestination of every person he
created, which means that he knew that he was knowingly condemming a whole
lot of people to an eternity of torture.


I picked up on these and other inconsistencies in the early 1970s. I've
been an atheist ever since.

I wish some few atheists weren't such activists about it, though. It gives
us bad PR and turns atheism into a religion.


For me, a person is allowed to believe whatever they want, as long as it
doesn't affect me. Unfortunately, too many of them don't get that part
and want to force themselves on everyone.

Oddly enough, the greatest sermon, direct orders from the man himself is
ignored by these folk.

- 73 de Mike N3LI -


Jim, K7JEB[_2_] September 5th 08 06:28 PM

Baluns?
 
Mike Coslo wrote:

I was listening to a preacher just last night.

According to him, All is preordinated. God knows the outcome of everything
and every single thing that has and will ever happen. All is predestinated.
This has been known from before he created the unuverse


Predestinated?? Does that mean that God knows exactly when
you will end your 2-meter mobile QSO, lock up the car and
go inside the supermarket for the milk jug the XYL just told
you to pick up on the way home?

Jim, K7JEB

Michael Coslo September 5th 08 07:19 PM

Baluns?
 
Jim, K7JEB wrote:
Mike Coslo wrote:

I was listening to a preacher just last night.

According to him, All is preordinated. God knows the outcome of everything
and every single thing that has and will ever happen. All is predestinated.
This has been known from before he created the unuverse


Predestinated?? Does that mean that God knows exactly when
you will end your 2-meter mobile QSO, lock up the car and
go inside the supermarket for the milk jug the XYL just told
you to pick up on the way home?



You got it. He won't tell you when you lock your keys in the car - even
when he already knows you're going to do it!

- 73 de Mike N3LI -

Richard Clark September 5th 08 07:37 PM

Baluns?
 
On Fri, 05 Sep 2008 14:19:28 -0400, Michael Coslo
wrote:

Jim, K7JEB wrote:
Mike Coslo wrote:

I was listening to a preacher just last night.

According to him, All is preordinated. God knows the outcome of everything
and every single thing that has and will ever happen. All is predestinated.
This has been known from before he created the unuverse


Predestinated?? Does that mean that God knows exactly when
you will end your 2-meter mobile QSO, lock up the car and
go inside the supermarket for the milk jug the XYL just told
you to pick up on the way home?



You got it. He won't tell you when you lock your keys in the car - even
when he already knows you're going to do it!


He won't answer your prayers for the phone number for AAA because he
already wrote it on your membership card he knew you left on the
dresser.

73's
Richard Clark, KB7QHC

Cecil Moore[_2_] September 5th 08 09:09 PM

Baluns?
 
Michael Coslo wrote:
You got it. He won't tell you when you lock your keys in the car - even
when he already knows you're going to do it!


Even before He told Pharaoh to let His people go,
He already knew Pharaoh was predestined to say no.
--
73, Cecil http://www.w5dxp.com

Michael Coslo September 5th 08 09:25 PM

Baluns?
 
Richard Clark wrote:
On Fri, 05 Sep 2008 14:19:28 -0400, Michael Coslo
wrote:

Jim, K7JEB wrote:
Mike Coslo wrote:

I was listening to a preacher just last night.

According to him, All is preordinated. God knows the outcome of everything
and every single thing that has and will ever happen. All is predestinated.
This has been known from before he created the unuverse
Predestinated?? Does that mean that God knows exactly when
you will end your 2-meter mobile QSO, lock up the car and
go inside the supermarket for the milk jug the XYL just told
you to pick up on the way home?


You got it. He won't tell you when you lock your keys in the car - even
when he already knows you're going to do it!


He won't answer your prayers for the phone number for AAA because he
already wrote it on your membership card he knew you left on the
dresser.



If he was a person, he wouldn't be on my Christmas card list.


After I wrote that, I realized just how weird the statement was. Oh
well, I'll leave it for people's amusement or irritation.

Suffice it to say, the XYL wouldn't put up with that sort of behavior....


- 73 de Mike N3LI -



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