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Richard Clark February 25th 04 01:29 AM

On Tue, 24 Feb 2004 18:28:57 -0600, "Steve Nosko"
wrote:
I assumed Richard's intent here is that you only have to do the
calculation for one full period of the periodic component to derive the RMS
value - and if it is symmetrical, then only one half period will suffice.
This all assumes a symmetrical AC shape. .. I see no reason why this would
not be true.


And then you offer in contradiction:

However a DC biased periodic shape requires another squaring and root
operation if you capture all the components. It gets a bit more harry


Such is reality. There is no such thing as symmetry, except on the
academic page. However, I am not so pedantic as to suggest that
shortcuts don't abound; simply pedantic enough to point out you don't
make claims to accuracy (admittedly none were offered that I was
responding to) through fudge factors when so many alternatives remove
doubt.

The simple determination of RMS is the graphical integration of the
area under the curve. There are as many "correction factors" for RMS
as there are shapes, and they all derive from this simple concept.


Here I'll take issue with the ONE WORD "graphical". You can integrate
if you can describe the function of the wave shape mathematically.


Of course, but it is eminently doubtful if you can actually express it
mathematically. Far more here own o'scopes than works of multiple
regression. Graphical analysis is first year engineering stuff out of
drafting class.

When the computational horsepower requirement becomes enormous (there
are many here that give up too easily with complexity); it is the
provence of the "Old School" to suggest that since RMS is all based on
the notion of power, you simply measure the caloric result and ignore
shape altogether. This may be done with thermo-electric piles or
other measurable property transformers that perform the complexity of
integration through physics*. I can anticipate those who dearly
embrace the complexity that they shudder to face (such contradictions
of their love-hate relationships) when I hear Crest, or pulse/power
factor (or duty cycle) uttered. Clearly the problem will have
migrated from Power to some other consideration, but is dressed as an
RMS debate.

73's
Richard Clark, KB7QHC


Yikes! Not sure where you went on that last bit, Richard C...
Now, I ask. Do the power meters on the outside of our houses take all those
factors into consideration and REALLY show TRUE watt hours? I have one in
the basement and I think I figured out why I was seeing twice the reading I
should have (letting a light bulb sit on for awhile) ... I counted the
teeth to get the ratio of the gear train, just to find that it is printed
(somewhat cryptically) on the face) (I made a two wire / three wire
connection error)

Hi Steve,

Yikes? Look at your own response to shudder. ;-)

You offer the doubt and then correct your error in the space of three
sentences. From that I must suppose it was a rhetorical question, but
the "yikes" heading it promises more clarity in response to what you
apparently complain of. After all, a complex, compound sentence with
ellipses and nested parenthetical statements? You lose points for
unpaired braces and lack of punctuation throughout and at the end.

Do the power meters on the outside of our houses take all those
factors into consideration and REALLY show TRUE watt hours?

For at least a Century now.

The power companies offer as close to pure symmetry as you could buy.
They also offer long term time accuracy to far better than any source
short of WWVL.

73's
Richard Clark, KB7QHC

Richard Harrison February 25th 04 02:23 AM

Steve Nosko wrote:
"I wonder if a "true RMS" DVM can handle this?"

So do I. The true rms meter seems a wonderful development to me.

Steve also wrote:

"Also ok, but not sure how it plays into the RMS discussion."

My speculation is that the effective value of a nonsinusoidal waveform
could be found by summation of its sinusoidal constituents.

But, it`s not difficult to find an effective value for not only
sinusoidal periodic waveforms but for
nonsinusoidal periodic waveforms as well. One can graphically take a
large number of equally spaced ordinates of the form, using at least one
complete alternation, Richard Clark. Both alternations are not needed
but could be used as a minus times a minus is a plus and each of the
ordinate values must be squared because power is a function of the
current squared, so both alternations when their ordinates are squared
produce positive values. Next, we sum the squared ordinate values and
divide by the number of ordinates. You get the average value of the
squared curve which is what we are looking for.

Or, you can construct the squared curve and integrate the area under the
squared curve by using a planimeter. Dividing the area by the baseline
length gives the same average value of the squared curve as iusing the
graphic ordinates above. Voila: rms.

Unless I`ve opened a new can of worms with this posting, I don`t know of
any difference of opinion I have with Steve.

Best regards, Richard Harrison, KB5WZI


Richard Clark February 25th 04 03:41 AM

On Tue, 24 Feb 2004 20:23:07 -0600 (CST),
(Richard Harrison) wrote:

Steve Nosko wrote:
"I wonder if a "true RMS" DVM can handle this?"

So do I. The true rms meter seems a wonderful development to me.


Hi Guys,

The first "True RMS" meter I worked on was from Fluke back in '75. It
was broke and I had to fix it, but most of the components had their
identification numbers scrubbed off and the schematic at that point
was just an outline with gozintas and comesouttas.

Well, Fluke was (is) just up the road from me, and I gave them a call
for details. Nocando came the reply. My first lesson in proprietary
design. Such technology was to kill for.

Today, I can buy far better from Radio Shack at 1/10th the cost.
Still and all, it only works through to voice frequencies (to lazy to
grab the spec sheet). If you want more precision/bandwidth, then
there are complex (non-digital) math chips that do it in real time
through analog multipliers and compressors (log function). One of my
tech gurus, Robert Pease of National Semi, challenges most digital
designs as a waste of time and energy. He successfully offers analog
designs that provide far better stability and accuracy.

73's
Richard Clark, KB7QHC

Steve Nosko February 25th 04 05:34 PM

"Richard Harrison" wrote in message
...
[...]
Steve also wrote:
"Also ok, but not sure how it plays into the RMS discussion."

My speculation is that the effective value of a nonsinusoidal waveform
could be found by summation of its sinusoidal constituents.


That's what I thought you were going for. My gut feel is that this must
be valid, otherwise "Fourier ain't an exact solution after all". But it
sounds like a lot of work and you have to be able to extract all the
significant Fourier components (harmonics) and there is an element of
approximation here, just like my "mathematicall function" method, no?

....Of course doing the integration on the waveform takes some time to crank
through the math and get all the quantities collected correctly.


But, it`s not difficult to find an effective value for ...
nonsinusoidal periodic waveforms as well. One can graphically take


For what I wanted to do, the integration was easier. I may be wrong,
but Fourier also needs a function and you still need to integrate, no?

Now, to answer Richard Clark's comments about accuracy in another
post... I did assume that the wave shapes I was interested in were defined
(I think the word is) explicitly. I assumed a mathematical function. When
I compared the three waveforms which were appropriate (sine, triangle,
trapezoid) the results were very much the same (for ratio of RMS to
Average). (gotta remember to keep my sentences shorter).
From this I came to the conclusion that for wave shapes which differed
slightly from the ideal (assumed shapes) the values would be well within
acceptable bounds. Easily 5%. Yes, not exact, but much better than Bob
Shrader had assumed.


large number of equally spaced ordinates of the form, using at least one
complete alternation, Richard Clark.


I don't think they have to be equally spaced since the actual time
enters into the calculation (as you described later). This would make long
sections with a constant value easier.


Both alternations are not needed
but could be used as a minus times a minus is a plus and each of the


This assumes that the waveform is symmetrical around zero. I think in
general, one whole period is required.



or[...] using a planimeter.


Richard H. clearly prefers graphical solutions and that's ok.

Unless I`ve opened a new can of worms with this posting, I don`t know of
any difference of opinion I have with Steve.
Best regards, Richard Harrison, KB5WZI


Right now it appears that this half vs. full period is the only
difference I can see.

--
Steve N, K,9;d, c. i My email has no u's.




Steve Nosko February 25th 04 06:22 PM

OOPS!

"Richard Clark" wrote in message
...
On Tue, 24 Feb 2004 18:28:57 -0600, "Steve Nosko"
wrote:
I assumed Richard's intent here is that you only have to do the
calculation for one full period ...symmetrical, then only one half

period...

And then you offer in contradiction:

However a DC biased periodic shape requires another squaring and root
operation if you capture all the components. It gets a bit more harry


This was a stupid thing to add at this point since it addresses
something which I did not explain, so I'm sure it looks weird. I didn't
even say what was in my mind. Namely, that with the DC + AC you still need
to do one full period of the periodic part.

What I was poorly referring to was this:
If you can break down the signal into component parts such as:
DC
Periodic part #1
Periodic part #2
etc
Then there is a formula for the total RMS which is the square root of
the sum of the squares. It is in one of the papers I linked previously.
That is one way to do an AC+DC situation. Second formula in the Intl Rect
paper:
http://www.irf.com/technical-info/an949/append.htm


[...] There is no such thing as symmetry, except on the
academic page. [...] you don't
make claims to accuracy (admittedly none were offered that I was
responding to) through fudge factors when so many alternatives remove
doubt.


I think is it safe to say that we each determine our own tolerance for
error. Five percent for power is ok for my purposes. SO approximating
waveform functins is just fine.


The simple determination of RMS is the graphical integration of the
area under the curve. There are as many "correction factors" for RMS
as there are shapes, and they all derive from this simple concept.


Here I'll take issue with the ONE WORD "graphical". You can

integrate
if you can describe the function of the wave shape mathematically.


Here, I'll take issue. I believe that the basis for the many
"correction factors" for RMS of various shapes is indeed the mathematical
integration of a function rather than the "Simple concept" of a graphical
solution (if that is what you meant). There is a mathematical integral of a
sine wave.

I think you'd be hard pressed to prove that the average of a sine wave is
2/pi exactly using graph paper. You could certainly say it sure looks close
to 2/pi, but is it exactly pi?... can't say for sure.

Case in point is the phase controlled sine wave made by SCR light
dimmers. I find it hard to believe you can graphicaly come up with the
formula:

Sqr-root[ D/2 + sin[pi(1-D)] cos[pi(1-D)]/2pi

I must also add that the graphical solution and mathematical integration
are different implementations of the same concept. I don't intend to say
that one is wrong and one is right.

Now, for Richard, C. Is the thing coming out of the AC outlet an exact
sine wave...no. It is very noticably flattened on the top by all the power
supplies drawing peak currents near the peak. There must be other
corruptins as well. However, if I assume it is a sine wave, will my
calculations come out very close, I believe Yes.

Now in all fairness, I won't dispute that you can use the graphical
method to find the RMS to any desired accuracy, just not exact...without
being able to integrate the waveform.


Of course, but it is eminently doubtful if you can actually express it
mathematically. Far more here own o'scopes than works of multiple
regression.


Graphical analysis is first year engineering stuff out of
drafting class.


Integration is first year engineering stuff out of calc class. At least
it was for me. I am still amazed that I remember doing tripple integrals
then, and thinking...Gee, this ani't so hard after all!. Couldn't do one to
save my life now.


[...] you simply measure the caloric result and ignore
shape altogether.


I always thought that the common method of measuring RF power was pretty
cool! The Thermistor or bolometer. Here you balance a bridge with DC or
low freq AC. It heats the thermistor to the correct resistance. Then, when
you add RF power, the thing heats up more and changes resistance. So, you
remove some DC power to get back to the correct resistance and that amount
is easy to figure. That is how much RF you put in. Cool. I think it is
correct to say that you absolutely cannot measure power *directly*. You
must measure something else which is affected/caused by the power...comment?


[..] migrated from Power to some other consideration


Not trying to migrate. I just think its a cool method.



Yikes! Not sure where you went on that last bit, Richard C...
Now, I ask. Do the power meters on the outside of our houses take all

those
factors into consideration

And, like me, Richard Clark makes a really long answer that says...Yes.

Got me!
I have NO idea how the watt-hour meter works...and don't want to try
to understand at this point.

73,
--
Steve N, K,9;d, c. i My email has no u's.



Steve Nosko February 25th 04 08:46 PM


"Cecil Moore" wrote in message
...
Richard Harrison wrote:
If we have a Class C amplifier feeding power to the same antenna and
enjoying a conjugate match, we can have a source that takes less than
50% of the available energy. So, the transmitting antenna system can be
more efficient than the receiving antenna system, it seems to me.



Didn't see the original post...

I think the phrase "available energy" may draw discussion, but won't start
it. I suspect it is not the thing to focus on. However...

With a "conjugate match" the source dissipates 50% of the power and the load
the other 50%. This can't be changed. Draw the schematic to see. Rs = RL
therefore Ps = PL. (I'll use a big "L" so it looks like an "L")


------------------------
Then I go to something I have for a long time wondered about; the following
situation:
A (tube) amplifier is in conjugate match conditions. It is dissipating 10
watts in its plate. This is the limit of its plate dissipation. Model this
as a voltage source (Vs) with source resistance (Rs) and a load with load
resistance (RL). The conjugate match has removed all the reactance.

There is also 10 Watts to the load.

Now, assuming you can, increase the (plate) supply voltage by, say 20%.

This raises the source voltage (Vs) [may be the fatal flaw]. If the plate
resistance (Rs) stays the same (I don't know if it will - more flaw-fodder),
then the plate dissipation will also increase. SO... how about adjusting
the match so the plate sees a higher RL to get back to 10 watts plate
dissipation. RL must now increase 40% to do this. The source current must
stay the same if the source resistance stays the same and keep the same
source dissipation.

Now, what we have done is to increase RL and Load voltage (VL), and
therefore load power, but kept 10 watts at the plate. If I did the math
correctly the load now dissipates 40% more power. If, however, we
re-adjust the match back to conjugate we WILL get more power and 50% will be
dissipated in the stage...until it blows. SO...

I think this tells us that if the stage is dissipation limited, but not
breakdown limited, we can non-conjugate match for a higher power than
'before' by raising the supply voltage. It sorta looks like we are getting
more with a non-conjugate match. You don't have the 50-50 division of power
also. It is now 41.7% tube, 58.3% load

Snake oil? The math is correct, but there may be some practical limit not
considered.

--
Steve N, K,9;d, c. i My email has no u's.

Then there's the solid state power amplifier standard output resistance
formula.
Rs = Vcc^2 / (2*Po)
The implication should be obvious...



Dave Shrader February 25th 04 09:13 PM

Dan Richardson wrote:

Let me try this one more time. You had posted earlier and I commented
on this:

"A receiving antenna must be resonant to enable full acceptance of
available energy, and it must be matched to avoid re-radiation of more
than 50% of the energy it is able to grab."

I commented on the first portion of your statement (above). My only
point is that it makes no difference if an antenna's is resonate or
not in determining how much energy it grabs.

That's it, nothing more.

73
Danny, K6MHE

SNIP

The effective aperture is the effective aperture is the effective
aperture ...

The antenna intercepts ALL the EM energy within it's effective aperture.

You, the listener, may be interested in only 2.8 KHz of that energy. :-)


aunwin February 25th 04 11:48 PM

Great, now to the issue.
\
How much power does the antenna pick up compared to the power enclosed
within the 2.4 Khz frequency spread that is considered useful ? Or can we
say how much energy is dumped to ground by a bandpass filter (plus insertion
losses). I know it may be absolutely quiet outside the bandwidth of choice
but I assume you get my drift with respect to efficiency of a simple dipole
to a radiator of high Q.
Regards
Art
"Dave Shrader" wrote in message
news:he8%b.120870$jk2.515312@attbi_s53...
Dan Richardson wrote:

Let me try this one more time. You had posted earlier and I commented
on this:

"A receiving antenna must be resonant to enable full acceptance of
available energy, and it must be matched to avoid re-radiation of more
than 50% of the energy it is able to grab."

I commented on the first portion of your statement (above). My only
point is that it makes no difference if an antenna's is resonate or
not in determining how much energy it grabs.

That's it, nothing more.

73
Danny, K6MHE

SNIP

The effective aperture is the effective aperture is the effective
aperture ...

The antenna intercepts ALL the EM energy within it's effective aperture.

You, the listener, may be interested in only 2.8 KHz of that energy. :-)




Richard Harrison February 26th 04 03:17 AM

Dave Shrader wrote:
"The effective aperture is the effective aperture is the effective
aperture...."

And by any other name it would likely smell as sweet.

Terman has a definitionin of sorts in his 1955 edition on page 899:
Directive gain=(4 pi)(effective aperture)(k) divided by lambda squared.

Arnold B. Bailey is much more descriptive in "TV and Other Receiving
Antennas", starting around page 298. I`ve tried to condense and number
his points:
1. The radio field is expressed in volts per meter or in watts per
square meter.
2. Our standard dipole will have a capture area within the radio field,
broadside to the field, with the rod positioned in the direction of the
electric vector. (not cross-polarized)
3. Our 1/2-wave dipole has a capture area extending the 1/2-wavelength
of the rod, and 1/8-wavelength either side of the center of the rod.
4. The area thus calculates as lambda squared over 8.
5. This effective area representation is a simplification but it works
for most purposes.
6. If we can modify our 1/2-wave antenna to capture more signal than
normal, we say the antenna has gain.
7. "Capture area" is pure fiction but it gives the right answers.
8. Zero-dB gain antennas all have the same "capture area", and are
assumed to be resonant which is an essential requirement enabling full
performance.
9. Shape, size, power transfer capability, and directional response are
the four main factors which determine an antenna`s utility. (Bailey has
great elaboration on each of these four factors.)
10. Some antenna shapes operate well over a wide frequency bandwidth,
others don`t.
11. Fat antennas tend to be broadband and are shorter than a free-space
wavelength, indicating a reduced signal velocity along their lengths.
12. All parts of the receiving antenna rod intercept the radio wave.
13. Induced current is reflected by open-circuit ends of the antenna
rod.
14. Impedance at the center of the rod is the result of incident and
reflected waves interacting.
15. Resonance is a result of interaction of incident and reflected
signal components in the rod.
16. The antenna rod has a characteristic resistance independent of the
reflected signal, and this resistance is determined by the ratio of
voltage on the rod to current.. (This is found on page 306.)
17. From the size of an antenna rod we can determiner its capacitance
per unit length. This factor determines its characteristic resistance.
(voltage to current ratio)
18. Reflection coefficient at the ends of the rod depends on
configuration. Thicker antennas have smaller reflections at their ends.
19. Conical rods which are thicker toward their extremities produce weak
reflections, and tend to have broadband responses.
20. On thin dipoles at first resonance, there is substantial reflection
from its ends and the reflection is 180-degrees out of phase with the
incident signal.
21. 1/4-wave back from the open-circuit ends of the antenna, the voltage
is low and the current is high, so the impedance (a resistance) is low.
The resistance 1/4-wavelencth back from the open-circuit ends is much
lower than the characteristic resistance of the rod to the signal
traveling in either direction alonng the antenna rod.
22. With reflection----
R = Vincident - Vreflected / Iincident + Ireflected
(Whereas, the Ro = V/I
23. Fat antennas are less directional than thin antennas and keep their
broadside lobe together better at harmonic frequencies.

Don`t know what the particular value of effective aperture is. Terman
found it useful in describing the directional characteristics of a
matress antenna. Since effective aperture is related to directive gain
by constants, why not just stick with directive gain? Bailey, a leading
Bell Labs antenna researcher, said capture area is pure fiction anyway
as the grip on radiated energy does not start and stop abrubtly at the
imaginary boundaries used to describe it.

Obviously, effective aperture has enjoyed some popularity among some who
found it useful. The effective area of an antenna has a dictionary
definition: The square of the wavelength multiplied by the power gain in
a particular direction, divided by 4 pi. The "capture area" is defined
as: The area of the antenna elements that intercept radio signals.
I may have confused the definitions.

Best regards, Richard Harrison, KB5WZI


Richard Harrison February 26th 04 01:45 PM

Steve Nosko wrote:
"I assumed Richard`s intent here is that you only have to do the
calculation for one full period...symmetrical, then only half
period..."

Maybe an advantage of graphical representation is manifestation of the
absurd. If the wave is not symmetrical around the zero volt axis, or if
one alternation has greater squared values, it may be apparent. You may
be able to see this in the mathematical expression for the waveform too.

The effective value of both alternations must be equal for the
determination of the value of only one alternation to suffice.

Steve also wrote:
"There ia a formula for the total rms which is the square root of the
sum of the squares.""

Sounds familiar. Sounds like Pythagoras.

Best regards, Richard Harrison, KB5WZI


Richard Harrison February 26th 04 02:16 PM

Steve Nosko wrote:
"I think the phrase "available energy" may draw discussion, but I won`t
start it."

I plead guilty. I knew when I wrote it that the choice was poor but
couldn`t think of a better phrase at the moment.

Terman says on page 76 of his 1955 edition:
"Alternatively, a load impedance may be matched to a source of power in
such a way as to make the power delivered to the load a maximum. (see
footnote) The power delivered to the load under these conditions is
termed the "available power" of the power source."

Walter Maxwell straightened me out on my carelessness on this long ago,
and I repeated anyway. Dang me!

Best regards, Richard Harrison, KB5WZI


Richard Harrison February 26th 04 02:37 PM

Steve Nosko wrote:
"With a "conjugate match" the source dissipates 50% of the power and the
load the other 50%."

This is true only if all the source resistance is the type that converts
electrical energy to heat. There is a non-dissipative resistance.
Switched-off time in the Class-C amplifier is part of its internal
resistance.

You can deliver all the available power of the Class-C amplifier to the
load and dissipate less than 50% in the source.

Best regards, Richard Harrison, KB5WZI


Richard Harrison February 26th 04 03:20 PM

Steve Nosko wrote:
"A (tube) amplifier is in conjugate match conditions. It is dissipating
10 watts in its plate. This is the limit of its plate
dissipation----There is also 10 watts in the load.

Now assuming you can, increase the (plate) supply voltage by , say
20%---(may be the fatal flaw)."

Likely so. If everything remains linear, 20% more voltage increases
power by 1.2 squared, or 1.44 times. If the tube was already dissipating
its maximum sustainable power, expect an early failure due to the
overload.

If you were not already in a maximum power transfer condition, and a
condition which might provoke flashover within the tube, a readjustment
of the match might shift more of the available power to the load and
thus relieve the tube of some of the dissipation.

Best regards, Richard Harrison, KB5WZI


Steve Nosko February 26th 04 03:39 PM


"Richard Harrison" wrote in message
...
Steve Nosko wrote:
"With a "conjugate match" the source dissipates 50% of the power and the
load the other 50%."

This is true only if all the source resistance is the type that converts
electrical energy to heat. There is a non-dissipative resistance.
Switched-off time in the Class-C amplifier is part of its internal
resistance.

You can deliver all the available power of the Class-C amplifier to the
load and dissipate less than 50% in the source.

Best regards, Richard Harrison, KB5WZI



I think this becomes very academic (or perhaps a better word is awkward)
because originally you framed this as a "conjugate match" situation. Now,
you are in terms of time varying parameters. I think the analysis must stay
in one realm or the other. My mental models have trouble switching back and
forth.
I can't speak to tubes, but I do know that to get the most out of a
transistor power amp (transmitter type) up to about 200 MHz you design the
output match to be for a collector resistance of Vcc^2/(2Po). IF I recall,
this can be derived easily if you assume the transistor pulls all the way to
ground and the output tank swings up to 2 x Vcc. I was shown, and
understood it way back then, but can't recall the path to the solution off
the top of my head.
This, then, always started the discussion of whether this "matched" the
transistors output impedance or some other more esoteric concept. Then talk
of "average resistance" came in and eyes would glaze over....

The designer would then go back to the bench, work to optimize the design to
his requirements, test it over temp, etc. and ship it.

"There comes a time to shoot the Engineer and ship the product." is the
title of a famous editorial from the early 70's (IIR). Got it around here
somewhere...
-- 73
Steve N, K,9;d, c. i My email has no u's.



Richard Harrison February 26th 04 03:51 PM

Steve Nosko wrote:
"Then there`s the solid-state power amplifier standard output resistance
formula.
Rs = Vcc^2 / (2*Po)
The implication should be obvious."

It looks like Ohm`s law to me, P=Vsq / R.

The implication of (2*Po) is that 50% of the power is in the source and
50% of the power is in the load. If so, it`s a Class-A amplifier
formula, but the semiconductors could be biased to cut-off (Class-B) to
reduce dissipation in the transistors when they are idle. The best
collector load resistance is often not that which produces maximum
output, but that which produces maximum "undistorted output".

Best regards, Richard Harrison, KB5WZI


Steve Nosko February 26th 04 04:00 PM


"Richard Harrison" wrote in message
...
Steve Nosko wrote:
"I think the phrase "available energy" may draw discussion, but I won`t
start it."

I plead guilty. I knew when I wrote it that the choice was poor but
couldn`t think of a better phrase at the moment.........
Best regards, Richard Harrison, KB5WZI


I think this is what causes much of the discussion here. Terms are not
always as clear cut as things like: voltage or resistance. We know those,
but some of the others are more vague...or just what concept they point to
is not obvious. It is also sometines difficult to determine what the KEY
point or word is of a question or statement.
When I read yours, I made the assumption that "available power" was not
where your question pointed. I went along the; "Can we get a non 50-50
division? and not waste so much in the stage" path.
It is clear that different responders "Hear" different question.

Cryminy crum! I think my brain has forgotten how to hit the keys "on" in
the correct order. I keep getting things like "questino" for
"question"....or is it a keyboard timing issue??? As my fingers fly
along...
--
Steve N, K,9;d, c. i My email has no u's.



Richard Harrison February 26th 04 05:22 PM

I wrote a long boring post on "effective aperture". I apologize. I
regret not becoming familiar with Kraus`s "Antennas" long ago. Kraus
makes many ideas clear with few words.

On page 43 of his 1950 edition of "Antennas" Kraus writes:
"The ratio of the power W in the terminating impedance to the power
density of the incident wave will be defined as the effective aperture
Ae.
Thus Ae = W/P
If W is in watts and P is in watts per square meter, the Ae is in watts
per square meters."

Best regards, Richard Harrison, KB5WZI


aunwin February 26th 04 05:51 PM

Steve, have we now moved to an antenna that has a preamplifier on it for
listening ? If so I need not continue to struggle to follow the thread day
by day to determine its implications to the subject at hand.
The half power thingy I presume is understood by all so IS something very
exciting to be revealed that shows that the dipole is really an efficient
radiator after all, but only if you put a class C amplifier on it ? There
are stacks of information in books and lots of words in a dictionary, but
sooner or later one has to give a reason as to why they are reading out loud
if it is meant to be instructive or explanaatory with respect to the thread,
i.e. dipole and its impedance. You can start a different thread which would
help out for when one checks out the archives unless the intent
is meant to be destructive
Regards
Art


.. "Steve Nosko" wrote in message
...
Hi Richard...

"Richard Harrison" wrote in message
...
[...]
"----Second, it is the RMS current through the tube which will waste
power, so that is what we must be concerned with."


I don`t believe current through a Class C amplifier consists of an
ordinary sine wave.


And I didn't say that it does nor do I believe it does. I'm inclined

to
take my 100MHz storage scope to to the 6146's of my TS830s and see for
myself.
Your words imply (at least I infer) you are thinking that only a sine
wave has an RMS value. Every wave of any shape has an effective or RMS
value - its heating or "power causing" value.


[...] I think it consists of short unidirectional pulses.
The tuned "tank circuit" is the source of sine waves.


This certainly has to be correct. The tank will most likely cause some
sine-like VOLTAGE waveform, but the tube current has to be pulses of some
shape. This is a very timely discussion in view of the AC power meter QST
article and the extensive investigation I just completed on several pulse
shapes..


RMS is the effective value, not the average value, of an a-c ampere.


I will differ here. The RMS value is more appropriately described as
the power producing value of ANY wave form. Pulses can produce heat just

as
well as sine wave AC. We all know this from a practical view since tubes
can only conduct in one direction and the plates DO get hot.



...as the heating
value of an ampere is proportional to the current squared.


This is actually a simplification. P=ExI Power is the product of
voltage and current *only*. Because this is a second order effect, in a
resistance it can be related to either voltage squared or current

squared...
because that captures the second order character. Maybe there's a better

way
to say it mathematically, but I don't know it.
When we get to non sine shapes, then we have to fall back on the

actual
definition. root [avg of square] ...with the integral and all.
http://www.ultracad.com/rms.pdf

[...snip...]

Ordinarily, with nonsinusoidal currents, the ratio of maximum to
effective value is not the square root of 2.
Best regards, Richard Harrison, KB5WZI


Doing the math for pulses with the shape of sine, triangle (a single
slope with sudden end) and trapezoid (a sudden start to one level then a
slope to a peak and a sudden end), I decided to look at the RMS to AVERAGE
ratio since average is what a common meter will measure in Bob Shrader's
article (AC watt meter Jan 04 QST).
I was particularly interested in the sine-shaped pulses of various

duty
cycle because the current of common power supplies occurs in short pulses
with a sine-like shape that are near the peak of the voltage waveform.
It was interesting that for all these shapes, this ratio was very
similar. One relatively simple thing to understand which came out of the
analysis was that the average value is directly proportional to the duty
cycle as you might reasonably postulate. Where duty cycle is the ratio of
"on" time to off time. Where "on" time is the time that ANY current

flows.
Whereas the RMS is proportional to the Square root of the duty cycle.

e.g.
drop the duty cycle to half and the RMS drops to .707.

I have to do some verification, but it sure looks as though Bob's
numbers can be as much as three times what he quoted, depending on the
waveshape and some measurements I made.

http://www.irf.com/technical-info/an949/append.htm
Trapezoid=rectangular. Also for the phase controlled sine, the things

that
look like tau and a small n are both pi i.e. sin [pi x (1-D)] cos [pi x
(1-D)] and denominator of 2 x pi


Some average & RMS values here.
http://home.san.rr.com/nessengr/techdata/rms/rms.html

More (better) average formulas:
http://www.st.com/stonline/books/pdf/docs/3715.pdf
NOW I know where the average value of a sine wave comes from = (2/pi)
The Greek delta = d.

A calculator for RMS:
http://www.geocities.com/CapeCanaveral/Lab/9643/rms.htm






Cecil Moore February 26th 04 06:18 PM

Richard Harrison wrote:
Thus Ae = W/P
If W is in watts and P is in watts per square meter, the Ae is in watts
per square meters."


Seems to me that Ae would be in square meters. :-)
--
73, Cecil, W5DXP


Reg Edwards February 26th 04 06:35 PM


"Steve Nosko" wrote
With a "conjugate match" the source dissipates 50% of the power and the

load
the other 50%. This can't be changed.

=============================
Without disagreeing with what you say -

A conjugate match is not relevant in the present discussion because there is
seldom, if ever, a conjugate match between a PA and its antenna system.

The tuning-up process is NOT intended to produce such a match.

Tuning up is just the simple process of adjusting the transmitter load
resistance to be equal to its designed-for load resistance, usually an
arbitrary 50 ohms.

The internal resistance of a transmitter is NOT 50 ohms. It is not a design
feature. It is whatever happens to appear after the designer has met a
series of other requirements. The designer himself does not know what the
internal resistance is unless, out of curiosity, he bothers to measure or
calculate it.
----
Reg, G4FGQ




Cecil Moore February 26th 04 06:35 PM

aunwin wrote:
The half power thingy I presume is understood by all so IS something very
exciting to be revealed that shows that the dipole is really an efficient
radiator after all, but only if you put a class C amplifier on it?


Art, I assume you know that Class-C amplifiers are not usually used
for SSB since they are not linear for SSB. The basic confusion is
between linear systems and non-linear systems. If the amplifying
device (singular) conducts over the entire 360 degrees of an RF cycle
and the output waveform is a reasonable copy of the input waveform,
then that device is said to be linear. If you have two amplifying devices
operating in anything except Class-A operation, the output of each
individual device is not linear. That's the kicker. The "two non-linear
device" option is not available at the antenna for receiving purposes.
A normal dipole cannot receive Class-C (non-linear) signals.
--
73, Cecil, W5DXP


Cecil Moore February 26th 04 06:43 PM

Reg Edwards wrote:
The internal resistance of a transmitter is NOT 50 ohms. It is not a design
feature. It is whatever happens to appear after the designer has met a
series of other requirements. The designer himself does not know what the
internal resistance is unless, out of curiosity, he bothers to measure or
calculate it.


Proving that, like 50/60 Hz AC power, efficiency may be
more important than maximum power transfer. Edison actually
thought that AC generators would burn up while trying to
deliver maximum power. That's why he backed DC.
--
73, Cecil, W5DXP


Richard Harrison February 26th 04 06:53 PM

Cecil, W5DXP wrote:
"Seems to me that Ae would be in square meters."

Cecil is wide awake. If you divide watts by watts per square meter, you
end up with square meters. Appropriate for for an aperture, and
dimensionally correct.

I must have been half asleep and typed something from the wrong line.
Kraus made no mistake. I did. I apologize.

Best regards, Richard Harrison, KB5WZI


Richard Clark February 26th 04 07:16 PM

On Wed, 25 Feb 2004 12:22:32 -0600, "Steve Nosko"
wrote:

[...] you simply measure the caloric result and ignore
shape altogether.


I always thought that the common method of measuring RF power was pretty
cool! The Thermistor or bolometer. Here you balance a bridge with DC or
low freq AC. It heats the thermistor to the correct resistance. Then, when
you add RF power, the thing heats up more and changes resistance. So, you
remove some DC power to get back to the correct resistance and that amount
is easy to figure. That is how much RF you put in. Cool. I think it is
correct to say that you absolutely cannot measure power *directly*. You
must measure something else which is affected/caused by the power...comment?


Hi Steve,

There are many classes of caloric devices, two of which you identify
that are common within the Metrologist's art, and wholly absent from
amateur activities. So here I must make a slight correction of your
description. Power meters contain two (2) such devices which form the
balanced halves of a bridge. One side is exposed to the RF, the other
side is exposed to the simpler DC or AC power that is known to a high
degree of accuracy. What you describe is the detector implementation
of the same devices (which exhibit non-linearity to perform
detection). They would, in the fashion you describe, offer good
"relative" power indication, but not absolute power (except through
substitution methods). As such, they are fairly common in precision
VSWR instrumentation especially when they are driven by 1KHz modulated
power sources, and in turn drive special AC VTVM's scaled to present
dB and VSWR to very high resolution.

A list of the methods:
The Crystal: 1N21/23/25/26...
The Bolometer (low power caloric)
The Barretter (a Bolometer): Sperry 821, PRD 630A
The Wollaston wire (a Barretter): actually a 0.01A glass fuse
The Carbon filament (a Barretter)
The Thermistor (a Bolometer): Western Electric 28A
The Thermocouple
The Thermopile (lotsa Thermocouples)

73's
Richard Clark, KB7QHC

aunwin February 26th 04 07:35 PM

Cecil
I am talking about the half power thingy with respect to a series circuit of
which a antenna is designed around. Reg politely made a separate thread on a
specific part of that thread which referred to impedance, presumably because
Q was being bandied about where he thought probably it was irelevant.
Am I wrong to think that because a different thread was not made
the impedance question and amplifiers was relavent and somebody was not
being destructive/impolite?
Now to your pont of what is the kicker...a normal dipole cannot receive
Class-C (non linear signals)"?
Having being told about this thing that somebody read somewhere,
where is it leading to? Seems like I entered a class on engineering
and after 5 minuites I am wondering what sort of professor I had that not
only just read books out loud for his money but thought it was O.K. to read
from a wood working book. Can't we assume that a antenna is a closed series
circuit containing only passive
items ? If you have in mind that we must we consider an antena as a Class
something or other amplifier when determining its impedance then I am
hopelessly lost in a thread that can only end up nasty like some others did
and drive some more people away
because somebody wanted to play games of obstruction with the intent to
annoy. Now I see that somebody decided to change this
thread heading instead of starting a new thread . Now we are talking about
RMS meters and how they can be used ? Are we talking digital or analogue,
hand held or otherwise, high enough accuracy to satisfy all ( Nah that is
asking to much) Well it is an antenna newsgroup so it must radiate ,
somebody read it in a book and assumes that all are unaware of it so he
wishes to describe it
so others can make sense of what he read and why he read it!
Regards
Art
I am not pointing the finger at you Cecil, I have no idea who the culprit is
or what his intent is.


?Cecil Moore" wrote in message
...
aunwin wrote:
The half power thingy I presume is understood by all so IS something

very
exciting to be revealed that shows that the dipole is really an

efficient
radiator after all, but only if you put a class C amplifier on it?


Art, I assume you know that Class-C amplifiers are not usually used
for SSB since they are not linear for SSB. The basic confusion is
between linear systems and non-linear systems. If the amplifying
device (singular) conducts over the entire 360 degrees of an RF cycle
and the output waveform is a reasonable copy of the input waveform,
then that device is said to be linear. If you have two amplifying devices
operating in anything except Class-A operation, the output of each
individual device is not linear. That's the kicker. The "two non-linear
device" option is not available at the antenna for receiving purposes.
A normal dipole cannot receive Class-C (non-linear) signals.
--
73, Cecil, W5DXP




Richard Harrison February 26th 04 07:49 PM

Art, KB9MZ wrote:
"The half power thingy I presume is understood by all so IS something
very exciting to be revealed that shows that the dipole is really an
efficient radiator after all, but only if you put a class C amplifier on
it?"

Art was the introducer of efficiency into this impedance thread.
Something from Art about radiation per unit length of an antenna, if I
recall. We noted that the antenna itself is usually so efficient there`s
not much to talk about, but there are differences in the effectiveness
of getting a signal on and off the air via an antenna. There`s coupling
the antenna to the radio. This has been argued here since before the "47
KW CB" thread, and that was years ago.

If Art can get more signal out of an antenna which is as small or
smaller than ordinary without putting more current into that antenna,
assuming orientation, polarization, and the other usual conditions are
fair for the competition, I`m excited.

Best regards, Richard Harrison, KB5WZI


Richard Harrison February 26th 04 08:19 PM

Art, KB9MZ wrote:
"Can`t we assume that an antenna is a closed series circuit containing
only passivee items?"

Sure, but you have an incomplete representation. An antenna is coupled
more or less to the entire universe. It is usually tightly coupled to a
radio or similar apparatus by some mutual impedance which makes a
codependency.

Best regards, Richard Harrison, KB5WZI


Steve Nosko February 26th 04 08:38 PM


"Richard Harrison" wrote in message
...
Steve Nosko wrote:
"A (tube) amplifier is in conjugate match conditions. ...

Now assuming you can, increase the (plate) supply voltage by , say
20%---(may be the fatal flaw)."

Likely so. If everything remains linear, 20% more voltage increases
power by 1.2 squared, or 1.44 times. If the tube was already dissipating
its maximum sustainable power, expect an early failure due to the
overload.


That's what I went on to say (get more power and 50% will be
dissipated in the stage...until it blows), but there was more to the story
which is relavant.
--
Steve N, K,9;d, c. i My email has no u's.



Steve Nosko February 26th 04 08:49 PM


"Richard Harrison" wrote in message
...
Steve Nosko wrote:
"Then there`s the solid-state power amplifier standard output resistance
formula.
Rs = Vcc^2 / (2*Po)
The implication should be obvious."

It looks like Ohm`s law to me, P=Vsq / R.


Well... I don't call THAT ohm's law, but rather, oh, I suppose, the
power formula, but that's symmantics. It is a transposition of (whatever
you call) that formula.



The implication of (2*Po) is that 50% of the power is in the source and
50% of the power is in the load.


Again, I don't recall teh derivation, but it works. I don't believe it
related to a mathematical constraint that the power be equally split. Can't
speculate further withoug working it out.
This is the "maximum output" load. Don't know off-hand what the limiting
factor is, but this is what they desigend for and I don't thing you could
get more out without killing the part or its lifetime. Don't recall anyone
blowing parts with the wrong load...pretty robust parts. You just couldn't
get any more out.


If so, it`s a Class-A amplifier


They are class C. VHF FM PAs.


formula, but the semiconductors could be biased to cut-off (Class-B) to
reduce dissipation in the transistors when they are idle. The best
collector load resistance is often not that which produces maximum
output, but that which produces maximum "undistorted output".

Best regards, Richard Harrison, KB5WZI




Cecil Moore February 26th 04 08:56 PM

aunwin wrote:
Can't we assume that a antenna is a closed series
circuit containing only passive items ?


A passive antenna, when it is receiving a signal, is a pretty good
approximation to a Thevenin Equivalent circuit. The received
signal is the generator. The generator impedance is the radiation
resistance (and the lossy R's). We've got a transmission line and
usually a 50 ohm load in the receiver.

If you have in mind that we must we consider an antena as a Class
something or other amplifier when determining its impedance then I am
hopelessly lost in a thread that can only end up nasty like some others did


Why not, for the purposes of limiting the discussion, consider only
a Thevenin Equivalent 50 ohm source for the transmitter? That way,
the entire system will be linear and easy to discuss.

I am not pointing the finger at you Cecil, ...


If you were, which one would it be? :-)
--
73, Cecil, W5DXP


Steve Nosko February 26th 04 09:01 PM


"Reg Edwards" wrote in message
...

"Steve Nosko" wrote
With a "conjugate match" the source dissipates 50% of the power and the

load
the other 50%. This can't be changed.

=============================
Without disagreeing with what you say -

A conjugate match is not relevant in the present discussion because there

is
seldom, if ever, a conjugate match between a PA and its antenna system.

The tuning-up process is NOT intended to produce such a match.

Tuning up is just the simple process of adjusting the transmitter load
resistance to be equal to its designed-for load resistance, usually an
arbitrary 50 ohms.

The internal resistance of a transmitter is NOT 50 ohms. It is not a

design
feature. It is whatever happens to appear after the designer has met a
series of other requirements. The designer himself does not know what the
internal resistance is unless, out of curiosity, he bothers to measure or
calculate it.
----
Reg, G4FGQ


Hi Reg,
This is another track, but one I've pondered, but probably shouldn't
now... And one that I believe has seen MANY words on NetNews, no? So I'll
put this out anyway and see what I get.

As we adjust the classical pi output network, I think we are starting
high and gradually lowering the load impedance seen by the tube, no? Start
with max C at the load cap and decrease it for max Po (keep in resonance
with the plate cap) I believe in the pi config. the BIG load "C" transforms
the load (50ohms) up to a "hi" Z seen by the plate. This may be wrong,
though I believe not, so will continue with the concept.
As we do this the power to the load keeps increasing up to a point. If
we keep going, the Po drops. So, we have reached the optimum Z as seen by
the tube. I think the question at this point is "why / what" is this the
"optimum" for?
I suspect the arguments are FOR and CON conjugate match.
I think it must be agreed that it is clearly the optimum for Po, no?
--
Steve N, K,9;d, c. i My email has no u's.




Steve Nosko February 26th 04 09:03 PM


"Cecil Moore" wrote in message
...
Reg Edwards wrote:
The internal resistance of a transmitter is NOT 50 ohms. It is not a

design
feature. It is whatever happens to appear after the designer has met a
series of other requirements. The designer himself does not know what

the
internal resistance is unless, out of curiosity, he bothers to measure

or
calculate it.


Proving that, like 50/60 Hz AC power, efficiency may be
more important than maximum power transfer. ...
73, Cecil, W5DXP


That's also where I was going with my "raise the plate voltage" concept.
--
Steve N, K,9;d, c. i My email has no u's.



Steve Nosko February 26th 04 09:05 PM


I'll never go there in the RF arena even though another hobby of mine is
laser light shows.
Placing "photon" and "RF" in the same paragraph is ... what shall I call it,
flame-fodder?



"Richard Clark" wrote in message
...
On Wed, 25 Feb 2004 14:46:42 -0600, "Steve Nosko"
wrote:
I think the phrase "available energy" may draw discussion, but won't

start
it.

Uh-Oh
I suspect it is not the thing to focus on. However...

This has in the past lead to a cataract of 600 posting threads

With a "conjugate match" the source dissipates 50% of the power and the

load
the other 50%. This can't be changed.

This is the 1mm fuse that starts that torrent. Once lit, no one
escapes.
...
Snake oil? The math is correct, but there may be some practical limit

not
considered.


Hi Steve,

Practical or otherwise will be dismissed to the discussion of photons
and general relativity by the end of two days, if this doesn't fall
flat on its face with mine being the only comment. ;-)

73's
Richard Clark, KB7QHC




Steve Nosko February 26th 04 09:20 PM


"Richard Clark" wrote in message
...
On Wed, 25 Feb 2004 12:22:32 -0600, "Steve Nosko"
wrote:

[...] you simply measure the caloric result and ignore
shape altogether.


I always thought that the common method of measuring RF power was

pretty
cool! The Thermistor or bolometer. Here you balance a bridge with DC or
low freq AC. It heats the thermistor to the correct resistance. Then,


Yea... Then I give only a partial description since trying to give
it completely would take pages, I decided to "overview" it.

However...


... and wholly absent from

amateur activities.


OOPS! "wholly"?? I've got one. A really nice (but un temp
compensated) thermistor mount) (but don't tell anyone that I have nothing
to drive it with -- the rest of the bridge.)

So here I must make a slight correction of your
description. Power meters contain two (2) such devices which form the
balanced halves of a bridge.


I gotta go back & look, (this was from the 60's) but there are two and
they are in series for the low freq and parallel for the RF. On the low
freq side it is a 200ohm mount. Now I hafta' remember how the RF was
handled .... musta' been to only one...let me think about this...


One side is exposed to the RF, the other
side is exposed to the simpler DC or AC power that is known to a high
degree of accuracy. What you describe is the detector implementation
of the same devices (which exhibit non-linearity to perform
detection). They would, in the fashion you describe, offer good
"relative" power indication, but not absolute power (except through
substitution methods).


OOPS again! You DO get absolute because you know how much low freq
power you remove. Isn't that the principle of the HP437 & 438's? or are
they doing something else...diode ... er...uh crystal if you're across the p
ond? I always thought they were, caloric, as you say.

--
Steve N, K,9;d, c. i My email has no u's.


As such, they are fairly common in precision
VSWR instrumentation especially when they are driven by 1KHz modulated
power sources, and in turn drive special AC VTVM's scaled to present
dB and VSWR to very high resolution.

A list of the methods:
The Crystal: 1N21/23/25/26...
The Bolometer (low power caloric)
The Barretter (a Bolometer): Sperry 821, PRD 630A
The Wollaston wire (a Barretter): actually a 0.01A glass fuse
The Carbon filament (a Barretter)
The Thermistor (a Bolometer): Western Electric 28A
The Thermocouple
The Thermopile (lotsa Thermocouples)

73's
Richard Clark, KB7QHC




Steve Nosko February 26th 04 09:21 PM

Consider me burned out too, but I did change the subject line to allign
w/the change in topic.
--
Steve N, K,9;d, c. i My email has no u's.
"aunwin" wrote in message
news:zmq%b.127262$jk2.539846@attbi_s53...
Steve, have we now moved to an antenna that has a preamplifier on it for
listening ? If so I need not continue to struggle to follow the thread

day
by day to determine its implications to the subject at hand.
The half power thingy I presume is understood by all so IS something very
exciting to be revealed that shows that the dipole is really an efficient
radiator after all, but only if you put a class C amplifier on it ? There
are stacks of information in books and lots of words in a dictionary, but
sooner or later one has to give a reason as to why they are reading out

loud
if it is meant to be instructive or explanaatory with respect to the

thread,
i.e. dipole and its impedance. You can start a different thread which

would
help out for when one checks out the archives unless the intent
is meant to be destructive
Regards
Art


. "Steve Nosko" wrote in message
...
Hi Richard...

"Richard Harrison" wrote in message
...
[...]
"----Second, it is the RMS current through the tube which will waste
power, so that is what we must be concerned with."

I don`t believe current through a Class C amplifier consists of an
ordinary sine wave.


And I didn't say that it does nor do I believe it does. I'm

inclined
to
take my 100MHz storage scope to to the 6146's of my TS830s and see for
myself.
Your words imply (at least I infer) you are thinking that only a sine
wave has an RMS value. Every wave of any shape has an effective or RMS
value - its heating or "power causing" value.


[...] I think it consists of short unidirectional pulses.
The tuned "tank circuit" is the source of sine waves.


This certainly has to be correct. The tank will most likely cause

some
sine-like VOLTAGE waveform, but the tube current has to be pulses of

some
shape. This is a very timely discussion in view of the AC power meter

QST
article and the extensive investigation I just completed on several

pulse
shapes..


RMS is the effective value, not the average value, of an a-c ampere.


I will differ here. The RMS value is more appropriately described

as
the power producing value of ANY wave form. Pulses can produce heat

just
as
well as sine wave AC. We all know this from a practical view since

tubes
can only conduct in one direction and the plates DO get hot.



...as the heating
value of an ampere is proportional to the current squared.


This is actually a simplification. P=ExI Power is the product of
voltage and current *only*. Because this is a second order effect, in a
resistance it can be related to either voltage squared or current

squared...
because that captures the second order character. Maybe there's a better

way
to say it mathematically, but I don't know it.
When we get to non sine shapes, then we have to fall back on the

actual
definition. root [avg of square] ...with the integral and all.
http://www.ultracad.com/rms.pdf

[...snip...]

Ordinarily, with nonsinusoidal currents, the ratio of maximum to
effective value is not the square root of 2.
Best regards, Richard Harrison, KB5WZI


Doing the math for pulses with the shape of sine, triangle (a single
slope with sudden end) and trapezoid (a sudden start to one level then a
slope to a peak and a sudden end), I decided to look at the RMS to

AVERAGE
ratio since average is what a common meter will measure in Bob Shrader's
article (AC watt meter Jan 04 QST).
I was particularly interested in the sine-shaped pulses of various

duty
cycle because the current of common power supplies occurs in short

pulses
with a sine-like shape that are near the peak of the voltage waveform.
It was interesting that for all these shapes, this ratio was very
similar. One relatively simple thing to understand which came out of

the
analysis was that the average value is directly proportional to the duty
cycle as you might reasonably postulate. Where duty cycle is the ratio

of
"on" time to off time. Where "on" time is the time that ANY current

flows.
Whereas the RMS is proportional to the Square root of the duty cycle.

e.g.
drop the duty cycle to half and the RMS drops to .707.

I have to do some verification, but it sure looks as though Bob's
numbers can be as much as three times what he quoted, depending on the
waveshape and some measurements I made.

http://www.irf.com/technical-info/an949/append.htm
Trapezoid=rectangular. Also for the phase controlled sine, the things

that
look like tau and a small n are both pi i.e. sin [pi x (1-D)] cos [pi x
(1-D)] and denominator of 2 x pi


Some average & RMS values here.
http://home.san.rr.com/nessengr/techdata/rms/rms.html

More (better) average formulas:
http://www.st.com/stonline/books/pdf/docs/3715.pdf
NOW I know where the average value of a sine wave comes from =

(2/pi)
The Greek delta = d.

A calculator for RMS:
http://www.geocities.com/CapeCanaveral/Lab/9643/rms.htm








aunwin February 26th 04 09:56 PM

There you go again wandering off and bull****ting about something that you
read some where and no body else knows it.
If you think as you say that all has been said that needs to be said about
antennas then open another thread where you can deposite your volumous
verbal diarrea. The subject was antennas and impedance but you seem to think
that every thing is known so you can turn to any book on any subject and
empty yourself on us as if you are on a bathroom stool which is your county
seat. Now if you want to attack me regarding my antenna then fine start a
thread and we will go at it but remember it is not in a book so you will
have to think for yourself or resort to reading any old book and
regurgitating. Now you could find something about say loop antennas that you
are sure nobody else knows about or are we not upto that part in Krause's
book that you are currently reading ?
And while we are at it, now you are getting absent minded please put a
marker in the book where you left off. And another thing I will echo what
Cecil says to the like of you....an antenna is an antenna and not to be
regarded as a system. My antenna does not cry out aloud that it has had its
amplifier stolen. Another point..you mention "we" since when do you think
you talk for everyone here, only a few days ago your excuse was that you was
not a professor,! Today you screwed up with dimension units that you copied
incorrectly from YOUR book and frankly you have to post more than others
because people do not agree with you most of the time as you seem unable to
stay on target and get confused
about what the subject is or how to interpret something that you read and
screw around trying to find a way to make it relavent.
If you remembered what ever you learned in school you would be able to talk
for yourself and then debate for yourself now that Terman is dead, really
dead . Now you also said something about what I said on this thread
regarding current or something ( I think I said 'I believe' which is a long
way from acting as a know all tho I must admit I haven't been up lots of
towers,put them up in lots of countries and all those other stories that you
tell ) to which you replied bull**** or balloney which from you should be
enough so that you can walk away like a messiah you doesn't have to explain
himself based on some fabulous light around his head that he thinks he has
earned thru his fabulous teachings.
Another thing are you the only one that was correct on Reggies
question.....no I didn't see a response in the early days that I read that
thread... probably you knew all along as you read something like it in a
book so dumped that on the thread anyway.
Now if you want to change the heading of this thread then be my guest since
you and you alone knows everything there is to know about antennas as you
read this book on a tower in Del Fuego or was it in the bathroom?
This is not a personal attack by the way
it is just a disagreement like saying baloney or bull****, justification is
not required. I am sure you can identify with that
with you not being a professor and thus allowed to spout off.
Art
Looking forward to hearing you hit my antenna and the mathematics that go
with it regarding the amplifier hidden in the elements. Last time you said '
it' breaks all the laws of physics, the laws that you read in a book
somewhere and that was sight unseen, the antenna that is, the laws were
chiselled in a rock , graphical form that you saw the last time you climbed
a mountain where a bush once burned and you became a prophet


"Richard Harrison" wrote in message
...
Art, KB9MZ wrote:
"The half power thingy I presume is understood by all so IS something
very exciting to be revealed that shows that the dipole is really an
efficient radiator after all, but only if you put a class C amplifier on
it?"

Art was the introducer of efficiency into this impedance thread.
Something from Art about radiation per unit length of an antenna, if I
recall. We noted that the antenna itself is usually so efficient there`s
not much to talk about, but there are differences in the effectiveness
of getting a signal on and off the air via an antenna. There`s coupling
the antenna to the radio. This has been argued here since before the "47
KW CB" thread, and that was years ago.

If Art can get more signal out of an antenna which is as small or
smaller than ordinary without putting more current into that antenna,
assuming orientation, polarization, and the other usual conditions are
fair for the competition, I`m excited.

Best regards, Richard Harrison, KB5WZI




aunwin February 26th 04 10:12 PM

No I can't remember ever putting a finger/s up at anybody.
But I have this feeling that this thread is now long enough and has included
so many subjects of discussion that we have the beginnings of a full scale
augument again. However if it means that this is the time a certain person
leaves the group in discussed
then no harm done. Forget antennas and impedance and the subject change you
are advocating, let the row start now, say something,
anything so we get a repeat of the last one. Can't you say balonney or
bull**** at the next guru and tell something different to another guru and
blame it on the first guru? Throw a fishing pole with a carrot on it!
Art
Art

Art
"Cecil Moore" wrote in message
...
aunwin wrote:
Can't we assume that a antenna is a closed series
circuit containing only passive items ?


A passive antenna, when it is receiving a signal, is a pretty good
approximation to a Thevenin Equivalent circuit. The received
signal is the generator. The generator impedance is the radiation
resistance (and the lossy R's). We've got a transmission line and
usually a 50 ohm load in the receiver.

If you have in mind that we must we consider an antena as a Class
something or other amplifier when determining its impedance then I am
hopelessly lost in a thread that can only end up nasty like some others

did

Why not, for the purposes of limiting the discussion, consider only
a Thevenin Equivalent 50 ohm source for the transmitter? That way,
the entire system will be linear and easy to discuss.

I am not pointing the finger at you Cecil, ...


If you were, which one would it be? :-)
--
73, Cecil, W5DXP




Richard Clark February 26th 04 10:59 PM

On Thu, 26 Feb 2004 15:20:06 -0600, "Steve Nosko"
wrote:
OOPS again! You DO get absolute because you know how much low freq
power you remove. Isn't that the principle of the HP437 & 438's? or are
they doing something else...diode ... er...uh crystal if you're across the p
ond? I always thought they were, caloric, as you say.


Hi Steve,

They are Bolos (caloric) using PRD type elements. From your
description (barring the equipment name), it sounded like the typical
detector application. I can see you originally described a self
balancing bridge:

The HP bridge is powered three ways. It has a DC source to offer
temperature compensation and range changes (zero setting). It has an
AC Oscillator (~10 KHz) source in quadrature (topographically
orthogonal, across the bridge instead of over it). Basically, the
bridge temperature components (the Bolometer) act as an oscillator
level stabilizing feedback loop (much like the famous HP 200 which
used a lamp's negative resistance). The third power input is the
unknown RF which unbalances the heat causing the feedback to
re-regulate where the drive level changes (which is monitored by the
meter as the indication of the RF power applied).

The sum of the operation was that the bridge always operates at null
with the same heat burden for any applied RF power (within constraints
of course).

And yes, they are characterized as 200 Ohm mounts.

73's
Richard Clark, KB7QHC

Robert Lay W9DMK February 27th 04 09:12 PM

On Wed, 25 Feb 2004 14:46:42 -0600, "Steve Nosko"
wrote:

snip....
With a "conjugate match" the source dissipates 50% of the power and the load
the other 50%. This can't be changed. Draw the schematic to see. Rs = RL
therefore Ps = PL. (I'll use a big "L" so it looks like an "L")


Dear Steve,

You may find the information in this article to be of interest
relative to the efficiency in a conjugate match situation.

http://www.qsl.net/w9dmk/ObservationsOnMPTT.htm

73,

Bob

J. McLaughlin March 2nd 04 01:48 AM

I just get an advertisement when I click on your link. Mac N8TT

--
J. Mc Laughlin - Michigan USA

"Robert Lay W9DMK" wrote in message
...
On Wed, 25 Feb 2004 14:46:42 -0600, "Steve Nosko"
wrote:

snip....

Dear Steve,

You may find the information in this article to be of interest
relative to the efficiency in a conjugate match situation.

http://www.qsl.net/w9dmk/ObservationsOnMPTT.htm

73,

Bob




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