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-   -   Voltage/Current at the end of a dipole? (https://www.radiobanter.com/antenna/589-voltage-current-end-dipole.html)

Tdonaly October 22nd 03 08:44 PM

Reg wrote,


Do you have a better idea than a diode probe to sample voltage at the
end of a dipole?

===============================

The only people person who needs to know the volts at the ends of an antenna
conductor such as a 1/2-wave dipole is the antenna designer. He has to
concern himself with insulators, breakdown voltages, the effects of corona
discharge and other such mundane (to other people) things.

Antenna designers, of which extremely few are needed in this small world,
being practical, sensible people who are obliged by professional
self-discipline to keep economy in time and materials foremost in their
minds, do not waste valuable resources researching the 'end-voltage'
question, purchasing latest space-age technology equipment just for a
one-off job, and employing teams of incompetent but highly-paid assistants
and workmen to make one solitary measurement.

Of course they don't !

In a few seconds they just do a little school arithmetic : -

Volts at end of dipole = Q * Vin / 2

Where Vin is centre-fed dipole feedline volts and Q is the dipole's resonant
Q factor.

Q is dipole inductive reactance divided by radiation resistance.

According to the ARRL handbook, Heaviside, Terman, me and countless others,
Q = Omega*L/R

Richard, you are familiar with these elementary notions. Do you not feel a
little saddened, like me, that amateurs, even future professional engineers,
are handicapped by having unnecessarily complicated, incorrect even, ideas
knocked into their heads by do-gooders on this newsgroup, trying to appear
knowledgeable, who should know better ?

I hasten to distinguish between accumulated PRACTICAL EXPERIENCE and
TECHNICAL BAFFLEGAB. The latter is easily recognisable.
===
Reg, G4FGQ


All this post serves to do is confirm the suspicion in many minds, Reg, that
you
haven't ever taken the trouble to study electromagnetics. Might I suggest that,

the next time you read Heaviside's work, you put forth the effort necessary
to understand it. The simple approximations that you rely on so heavily for
your own programs may be good enough for the rough work you demand of them,
but, they are not a statement of reality, and they only work given the narrow
set of
conditions which, for some reason, you always leave unstated.

Tom Donaly, KA6RUH



Reg Edwards October 22nd 03 09:35 PM

Dear Tom,

The proof of ANYTHING lies in the EATING.

Your appetite is lacking. As with the one million hoodwinked housewives who
can't be wrong.

Reg.



Roy Lewallen October 23rd 03 01:53 AM

The point is that there's no "correct" answer. The voltage between two
points separated in space with the presence of a varying magnetic field
can be pretty much anything you'd like it to be -- the value depends, as
others have pointed out, on the path taken between the points. Only Reg
is able to suspend the principles of electromagnetics and confidently
compute a single answer.

Roy Lewallen, W7EL

Richard Harrison wrote:
Roy, W7EL wrote:
"Which orientation would provide the "correct" answer?"

Maybe none.

We know what the correct answer is at the feedpoint. By trial and error
we can find the most stable and least critical placement for our test
lead. We can calibrate our voltage indicator with a sample at the
feedpoint under the conditions that prevail.

A test lead perpendicular to the balanced antenna suffers the least
interference. It`s subject to imperfections and it`s subject to
improvements to overcome the imperfections.

In AM broadcasting we get away with hanging a sampling loop on each
tower of a directional array to monitor both tower current and phase. It
works well enough.

Do you have a better idea than a diode probe to sample voltage at the
end of a dipole?

Best regards, Richard Harrison, KB5WZI



H. Adam Stevens October 23rd 03 02:56 AM

what?
there are multiple answers?
how many?

"Roy Lewallen" wrote in message
...
The point is that there's no "correct" answer. The voltage between two
points separated in space with the presence of a varying magnetic field
can be pretty much anything you'd like it to be -- the value depends, as
others have pointed out, on the path taken between the points. Only Reg
is able to suspend the principles of electromagnetics and confidently
compute a single answer.

Roy Lewallen, W7EL

Richard Harrison wrote:
Roy, W7EL wrote:
"Which orientation would provide the "correct" answer?"

Maybe none.

We know what the correct answer is at the feedpoint. By trial and error
we can find the most stable and least critical placement for our test
lead. We can calibrate our voltage indicator with a sample at the
feedpoint under the conditions that prevail.

A test lead perpendicular to the balanced antenna suffers the least
interference. It`s subject to imperfections and it`s subject to
improvements to overcome the imperfections.

In AM broadcasting we get away with hanging a sampling loop on each
tower of a directional array to monitor both tower current and phase. It
works well enough.

Do you have a better idea than a diode probe to sample voltage at the
end of a dipole?

Best regards, Richard Harrison, KB5WZI





Roy Lewallen October 23rd 03 04:20 AM

For Reg, only one. For me, an infinite number.

Roy Lewallen, W7EL

H. Adam Stevens wrote:
what?
there are multiple answers?
how many?

"Roy Lewallen" wrote in message
...

The point is that there's no "correct" answer. The voltage between two
points separated in space with the presence of a varying magnetic field
can be pretty much anything you'd like it to be -- the value depends, as
others have pointed out, on the path taken between the points. Only Reg
is able to suspend the principles of electromagnetics and confidently
compute a single answer.

Roy Lewallen, W7EL



David or Jo Anne Ryeburn October 23rd 03 04:48 AM

In article , Roy Lewallen
wrote:

For Reg, only one. For me, an infinite number.

Roy Lewallen, W7EL

H. Adam Stevens wrote:
what?
there are multiple answers?
how many?

"Roy Lewallen" wrote in message
...

The point is that there's no "correct" answer. The voltage between two
points separated in space with the presence of a varying magnetic field
can be pretty much anything you'd like it to be -- the value depends, as
others have pointed out, on the path taken between the points. Only Reg
is able to suspend the principles of electromagnetics and confidently
compute a single answer.

Roy Lewallen, W7EL


Roy, the good point you are making is often hard to get across. I tried
for about forty years to teach multivariable calculus to EE students and
others. Sometimes I succeeded. But some students couldn't get over the
fact that in one dimension, integrals are independent of the path, and so
they expected that to be true in two dimensions, or in three.

It makes things a lot simpler if you believe that all line integrals are
independent of the path, since from that it follows that integrals around
loops are always zero. That makes things like Green's Theorem and Stokes'
Theorem simpler too, since (if you grant that surface integrals involved
are also zero) they simply say that 0 = 0.

Simple isn't always right. Maybe in some other universe, all fields are
conservative, but not in this one.

David, ex-W8EZE and retired math prof

--
David or Jo Anne Ryeburn

To send e-mail, remove the letter "z" from this address.

Cecil Moore October 23rd 03 04:57 AM

David or Jo Anne Ryeburn wrote:
Simple isn't always right. Maybe in some other universe, all fields are
conservative, but not in this one.


It might help if the language was made more understandable. Isn't the
problem in getting an absolute ground reference point at the end of
the dipole? It is possible to model a 3D antenna with a 4th dimension
ground "plane".
--
73, Cecil http://www.qsl.net/w5dxp



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David or Jo Anne Ryeburn October 23rd 03 05:46 AM

In article , Cecil Moore
wrote:

David or Jo Anne Ryeburn wrote:
Simple isn't always right. Maybe in some other universe, all fields are
conservative, but not in this one.


It might help if the language was made more understandable. Isn't the
problem in getting an absolute ground reference point at the end of
the dipole? It is possible to model a 3D antenna with a 4th dimension
ground "plane".


Nope, that's not the problem. The language I am using is standard. To
understand it, get out your multivariable calculus text, if you've kept
it, or go to the library and borrow a good one. (Shameless plug: Howard
Anton's Calculus book is a good one -- I helped debug it before
publication.) Look up "independence of path" in the section on line
integrals, and look up the related topic of "conservative vector fields".
*That's* the problem, and not anything about ground references. What Roy
is talking about is an important special case of lack of independence of
path; there are many more examples.

David

--
David or Jo Anne Ryeburn

To send e-mail, remove the letter "z" from this address.

Roy Lewallen October 23rd 03 08:01 AM

No, that's not the problem. The problem is that you're looking for a
single voltage between two points separated in space. There is no single
value for that voltage. If you made some kind of "artificial ground"
close to the antenna, then there are an infinite number of possible
voltages between it and the Earth.

But I'm sure you can work it out as easily with virtual photons and 4
dimensional geometry as Reg does with grade school arithmetic. It's
quite simple, really, if you don't need to have the right answer.

Roy Lewallen, W7EL

Cecil Moore wrote:
David or Jo Anne Ryeburn wrote:

Simple isn't always right. Maybe in some other universe, all fields are
conservative, but not in this one.



It might help if the language was made more understandable. Isn't the
problem in getting an absolute ground reference point at the end of
the dipole? It is possible to model a 3D antenna with a 4th dimension
ground "plane".



Cecil Moore October 23rd 03 03:29 PM

Roy Lewallen wrote:
If you made some kind of "artificial ground"
close to the antenna, then there are an infinite number of possible
voltages between it and the Earth.


In four dimensions, the ground is not "artificial" and is
at the same potential as the Earth.
--
73, Cecil http://www.qsl.net/w5dxp



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Cecil Moore October 23rd 03 03:51 PM

David or Jo Anne Ryeburn wrote:

wrote:
It might help if the language was made more understandable. Isn't the
problem in getting an absolute ground reference point at the end of
the dipole?


Nope, that's not the problem. The language I am using is standard.


For you, maybe, but not for the average amateur radio operator. Instead
of trying to demonstrate how smart you are, how about trying to explain the
concept in words that the average amateur radio operator can understand?
Feynman took that approach in his book, _QED_.

Again, the problem goes away if you use a 4 dimensional model and define
the 4th dimensional path distance to ground as zero.
--
73, Cecil http://www.qsl.net/w5dxp



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Jim Kelley October 23rd 03 05:14 PM



Cecil Moore wrote:
In four dimensions, the ground is not "artificial" and is
at the same potential as the Earth.


What is that supposed to mean?

73, Jim AC6XG

Tom Bruhns October 23rd 03 06:23 PM

Cecil Moore wrote in message ...
David or Jo Anne Ryeburn wrote:

wrote:
It might help if the language was made more understandable. Isn't the
problem in getting an absolute ground reference point at the end of
the dipole?


Nope, that's not the problem. The language I am using is standard.


For you, maybe, but not for the average amateur radio operator. Instead
of trying to demonstrate how smart you are, how about trying to explain the
concept in words that the average amateur radio operator can understand?


How about:
1. Kirchoff's Voltage Law: The sum of the EMFs around a closed loop
equals the sum of the voltage drops around a loop. (It's commonly
MISstated as the sum of voltage drops around a loop is zero; it's much
better to distinguish between EMFs and voltage drops, as there are
EMFs which CANNOT be localized to one point in the loop.)
2. Faraday's Law of Magnetic Induction: For any closed loop, there
is an EMF proportional to the rate of change of magnetic flux enclosed
by the loop. (This is one EMF which cannot be localized--it just
drives the whole loop.)
3. Ohm's Law: Voltage drop is proportional to current times
resistance (so in a good conductor with modest current, there is very
little voltage drop).

From those, it should be obvious that the voltage you measure between
any two points depends on the path you take, in the presence of a
time-varying magnetic field (and perhaps at other times as well).
Didn't you previously post that you understood that?

As David has suggested, that set of three laws isn't the only way to
think about it, but I think they should serve the typical ham fairly
well; no integrals needed.

Cheers,
Tom

Cecil Moore October 23rd 03 06:25 PM

Jim Kelley wrote:

Cecil Moore wrote:
In four dimensions, the ground is not "artificial" and is
at the same potential as the Earth.


What is that supposed to mean?


Solve the problem using a 4D math model. The 3D variable
path problem goes away.
--
73, Cecil, W5DXP


Jim Kelley October 23rd 03 06:45 PM



Cecil Moore wrote:

Jim Kelley wrote:

Cecil Moore wrote:
In four dimensions, the ground is not "artificial" and is
at the same potential as the Earth.


What is that supposed to mean?


Solve the problem using a 4D math model. The 3D variable
path problem goes away.


If you've solved it, you should post the solution. (Otherwise, it's
just sounds like you're trying to impress somebody.)

73, Jim AC6XG

Richard Clark October 23rd 03 07:04 PM

On Thu, 23 Oct 2003 10:45:21 -0700, Jim Kelley
wrote:
If you've solved it, you should post the solution.

The promise of that (following submission to a spectrum of vanity
publishers) could last two years alone!

73's
Richard Clark, KB7QHC

K7JEB October 24th 03 06:12 AM

Roy Lewallen, W7EL, posted:

No, that's not the problem. The problem is
that you're looking for a single voltage
between two points separated in space. There
is no single value for that voltage. If you
made some kind of "artificial ground" close
to the antenna, then there are an infinite
number of possible voltages between it and
the Earth.


Well, I chose one particular configuration
and one particular integration path because
I was curious about the original question -
something about how much voltage would the
end insulator have to handle for 100 watts
of radiated power.

I chose a vertical, half-wave monopole fed
against perfect ground and looked at the
driving source data with EZNEC. The feed-
point impedance was 2188 +j66 ohms and a
driving current of .213 amps produced a
radiated power of 100 watts and a feedpoint
voltage of 466 volts. 1500 watts scales
that up to 1805 volts. Symmetry about the
ground would increase that to 3600 volts
for the free-space case. That is what I
would adopt as my design-to target for
end insulators.

I know it's crude, but I was just looking
for a ballpark figure.

Jim, K7JEB




K7JEB October 24th 03 02:24 PM

Roy Lewallen, W7EL, posted:

No, that's not the problem. The problem is
that you're looking for a single voltage
between two points separated in space. There
is no single value for that voltage. If you
made some kind of "artificial ground" close
to the antenna, then there are an infinite
number of possible voltages between it and
the Earth.


As another case study, I analyzed a half-wave,
inverted-V antenna over perfect ground with the
ends of the antenna close to the ground. I
placed high-resistance (1e12-ohm) loads between
these open ends and ground as voltmeters. The
angle of the inverted-V was 90 degrees, placing
the apex of the antenna 0.35 wavelength above
ground.

The feedpoint impedance was trimmed up to be
19 + j0.4 ohms. Going right for the maximum,
1500 watts into this impedance requires an
8.9 amp current source.

The voltage to ground across the load on the
antenna endpoint is 5300 volts for 1500 watts
of radiated power.

This scales back to 1370 volts for 100 watts.

Again, this is just a special case of the general
problem. But it has a configuration that is easy to
implement in the EZNEC program and is quite
relevant to typical ham-radio, low-band dipole
installations.

If anyone wants to go over this data, or that for
the vertical, half-wave monopole, drop me an e-mail
at k7jeb (at) qsl.net and I will send over the .EZ
files.

Jim, K7JEB



Richard Harrison October 24th 03 02:40 PM

Roy Lewallen wrote:
"The problem is that you`re looking for a single voltage between two
points in space. There is no single value for that voltage."

Keith Henney in his 1950 "Radio Engineering Handbook on page 638 wrote:
"A thin-wire dipole gives an end potential of about 3,900 volts for 1000
watts antenna input for a height of 1/4-wave. It will be higher for
smaller heights, and falls to a minimum of about 1700 volts as height
increases to 3/4-wave; beyond this point it settles down to the
free-space value of about 3000 volts. Potentials vary as the square root
of the power ratio and as the inverse square root of the capacitance per
unit length. For a potential of 3900 volts on a wire 0.101 in. in
diameter (No.10 B&S), the radial gradient is of the order of 31 kv per
cm."

At frequencies where the antenna has high reactance and low resistance,
a few watts of power produce very high potentials. At high altitudes,
high potentials can easily produce corona and flashover. Apply more
watts and produce corona and flashover at sea level.

One way to measure the voltage at the end of a dipole might be to
increase input to the dipole until orona cccurs and then scale that to
the power of interest.

Best regards, Richard Harrison, KB5WZI


Cecil Moore October 24th 03 04:31 PM

K7JEB wrote:
I know it's crude, but I was just looking
for a ballpark figure.


Hi Jim, all of the estimates have been in the same
ballpark except for the ones that indicate the voltage
doesn't appreciably change from the center feedpoint
of a 1/2WL dipole to the open ends.

Looks like antennas and transmission lines obey Maxwell's
equations after all. :-)
--
73, Cecil, W5DXP


Cecil Moore October 24th 03 04:51 PM

Richard Harrison wrote:
At high altitudes,
high potentials can easily produce corona and flashover.


That's why the cubical quad was invented. The voltage at
the voltage maximum points is in the ballpark of half that
of a dipole and those points can be insulated.
--
73, Cecil, W5DXP


K7ITM October 24th 03 08:47 PM

Looks perfectly reasonable to me, Jim. Another perfectly reasonable thing to
ask is "what is the electric field strength near the antenna elements?" because
if the field strength is too great, you can get corona. And EZNEC (NEC2, etc)
will give you at least an estimate of that value. As you say, it can be
interesting to know if an insulator will be adequate, and that's a question
well worth asking.

Cheers,
Tom


Jim, K7JEB, wrote:

Well, I chose one particular configuration
and one particular integration path because
I was curious about the original question -
something about how much voltage would the
end insulator have to handle for 100 watts
of radiated power.

I chose a vertical, half-wave monopole fed
against perfect ground and looked at the
driving source data with EZNEC. The feed-
point impedance was 2188 +j66 ohms and a
driving current of .213 amps produced a
radiated power of 100 watts and a feedpoint
voltage of 466 volts. 1500 watts scales
that up to 1805 volts. Symmetry about the
ground would increase that to 3600 volts
for the free-space case. That is what I
would adopt as my design-to target for
end insulators.

I know it's crude, but I was just looking
for a ballpark figure.




K7ITM October 24th 03 08:52 PM

Jim, K7JEB, wrote:
....
Again, this is just a special case of the general
problem. But it has a configuration that is easy to
implement in the EZNEC program and is quite
relevant to typical ham-radio, low-band dipole
installations.

It's also easy to get the electric field strength near the antenna from EZNEC.
I expect the field to be highest near wires, because of the shape the field
must take near the wires, so that's where I'd look first to get an idea about
possible breakdown of the air or insulators.

Cheers,
Tom


JDer8745 October 24th 03 10:19 PM

Really???


K9CUN

JDer8745 October 24th 03 10:23 PM

What we know as and call "voltage" is the potential difference between two
points. Give me access to the two points and an ideal voltmeter (AC or DC) and
I'll measure it for you. I am assuming sinusoidal steady state AC, isn't
everyone?

73 de Jack, K9CUN

W3HY October 25th 03 07:48 PM

In , (JDer8745)
wrote:


What we know as and call "voltage" is the potential difference between two
points. Give me access to the two points and an ideal voltmeter (AC or DC)
and
I'll measure it for you. I am assuming sinusoidal steady state AC, isn't
everyone?

73 de Jack, K9CUN


I'll bet you can. So I have this piece of clear plastic with two terminals
staked to it. Call them A and B, A about 2 inches above B as I look at it. I
have a 10k resistor wired from A to B and dressed an inch or so off to the
left. I also have a 1k resistor wired from A to B and dressed off to the
right, so the two resistors are a couple inches apart. There aren't any other
electrical connections to the two resistors. I have a pretty good AC
voltmeter, and using my best techniques, I measure one volt RMS across the 10k
resistor. Using a scope, I see it's a nice 100kHz sinewave, constant
amplitude. So what's the voltage across the 1k resistor?

73 de



Roy Lewallen October 26th 03 07:13 AM

Just one caution about this. I don't think EZNEC or other NEC-based
programs will give accurate field strength any closer to a wire than a
few wire diameters. So it probably wouldn't be good for predicting the
likelihood of corona discharge and the like. It might be possible,
though, to model a wire as a number of very much smaller parallel wires
arranged in a circle, to get good field strength values closer to the
real wire. I wouldn't completely trust the results, though, until at
least a few test cases were run which could be compared to theoretical
values.

Roy Lewallen, W7EL

K7ITM wrote:
Jim, K7JEB, wrote:
...

Again, this is just a special case of the general
problem. But it has a configuration that is easy to
implement in the EZNEC program and is quite
relevant to typical ham-radio, low-band dipole
installations.


It's also easy to get the electric field strength near the antenna from EZNEC.
I expect the field to be highest near wires, because of the shape the field
must take near the wires, so that's where I'd look first to get an idea about
possible breakdown of the air or insulators.

Cheers,
Tom



Richard Harrison October 27th 03 05:24 AM

Roy, W7EL wrote:
"I don`t think EZNEC or other NEC-based programs will give accurate
field strength any closer to a wire than a few wire diameters."

The Antenna Section in Keith Henney`s "Radio Engineering Handbook" was
written by Edmund A. Laport, Chief Engineer of RCA`s International
Division at the time (around 1950).

On page 637 Ed writes:
"Where high power is to be transmitted, or at high altitudes, antenna
insulation and conductor designs require care to details. For h-f use,
only radial potential gradients need to be considered. At high
altitudes, pluming may occur with consequent damage to the system.
Fortunately in practice, high power is generally used with directive
antennas, and the power is divided among several dipole sections thus
tending to minimize the problem. A thin-wire dipole gives an end
potential of about 3,900 volts rms for 1000 watts input for a height of
0.25 wavelength. It will be higher for smaller heights, and falls to a
minimum of about 1,700 volts as height increases to 0.75 wavelength;
beyond this point it settles down to the free-space value of about 3,000
volts. Potentials vary as the square root of the power ratio and as the
inverse square root of the capacitance per unit length. For a potential
of 3,900 volts on a wire 0.101 in. in diameter (No, 10 B&S), the radial
gradient is of the order of 31 kv per cm. As a rough approximation for a
cage, the gradient for one wire is divided by the number of wires in the
cage."

The multiwire observation is important because, if the potential
gradient at any point in air becomes greater than 30,000 volts/cm., the
air becomes ionized and sparking or corona discharge will occur.

On page 645, Ed writes:
"With 100-kw carrier input (to an 8-dipole array), the end potential on
each dipole is 7,500 volts rms. A 3000-ft. 580-ohm two-wire balanced
feeder used with this antenna had an efficiency of 67 per cent.

I am comfortable with Ed`s experience which can be scaled for the power
and configuration of the antenna.

Best regards, Richard Harrison, KB5WZI


JDer8745 October 28th 03 03:39 PM

"So what's the voltage across the 1k resistor?"
------------------------------------------------------
It's whatever my ideal voltmeter reads when it's connected across the ends of
the 1-kOhm resistor.

Jack


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