If I have a cylindrical bifilar air coil and feed a 200Hz sine wave in one end, and a 300Hz sine wave in the other end (so currents oppose), will I obtain any EMR at the 100Hz difference frequency?
Unlikely. To get nonlinear mixing, the field would have to be high enough to saturate the iron
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John Larkin Highland Technology, Inc
picosecond timing laser drivers and controllers
jlarkin att highlandtechnology dott com
http://www.highlandtechnology.com
It does no great harm to help kids with occasional homework questions. They'll flunk out anyhow.
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John Larkin Highland Technology, Inc
picosecond timing laser drivers and controllers
jlarkin att highlandtechnology dott com
http://www.highlandtechnology.com
Class size is too big... instructor seeks to find which students should be dropped >:-} ...Jim Thompson
-- | James E.Thompson | mens | | Analog Innovations | et | | Analog/Mixed-Signal ASIC's and Discrete Systems | manus | | San Tan Valley, AZ 85142 Skype: skypeanalog | | | Voice:(480)460-2350 Fax: Available upon request | Brass Rat | | E-mail Icon at
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| 1962 | I love to cook with wine. Sometimes I even put it in the food.
When I was in college, they used chemistry and physics to thin the herd. The attrition rate in the first two years was probably 25% per year. It was rare for anyone to flunk out after the sophomore year, though there were a few that were in so much academic trouble by then that they couldn't hold on.
Two opposing magnetic fields will tend to "cancel" or distort. If the signals differ, and their radiated EMF's are superimposed, is it not plausible that the distorted field would have a periodicity representative of the difference frequency?
In order to create a 100 Hz component, there would have to be a nonlinear element somewhere. There is none in the copper+air case.
Superposition is addition. That process is linear, so it doesn't create any distorton or harmonics or difference frequencies.
The iron core, if the field is high enough to create some saturation, will be nonlinear so can create some harmonics and the 100 Hz difference.
--
John Larkin Highland Technology, Inc
picosecond timing laser drivers and controllers
jlarkin att highlandtechnology dott com
http://www.highlandtechnology.com
You seem to be equating cancellations with distortions; they are two different things.
"Distortion", in the electronics sense, implies nonlinearities. In the copper + air case there aren't any (unless you're driving things so hard that you get corona discharge or some such). Without nonlinearities you won't get frequency mixing.
So no, if you understand the phenomenon involved, there won't be.
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Tim Wescott
Wescott Design Services
http://www.wescottdesign.com
--
| James E.Thompson | mens |
| Analog Innovations | et |
| Analog/Mixed-Signal ASIC's and Discrete Systems | manus |
| San Tan Valley, AZ 85142 Skype: skypeanalog | |
| Voice:(480)460-2350 Fax: Available upon request | Brass Rat |
| E-mail Icon at http://www.analog-innovations.com | 1962 |
I love to cook with wine. Sometimes I even put it in the food.
Now I am going to embarass myself further by asking this question.
Has anyone ever heard of tensor fields? When two opposing forces, such as EMF's interact, a _potential_ is created on the A or longitudinal vector. This occurs "outside" of the classical EM domain and is undectable by conventional instrumentation.
In the case presnted in my original post, it may be expressed at
Wheeler points out that magnetism is the effect of Lorentz contraction of t he electric fields of moving charges. I was never taught that - Wheeler's b ook came out a bit after the time I worked it out for myself as an undergra duate, but when I talked about my insight with other people, it seemed that the idea was well known, but not helpful enough to get talked about in und ergraduate courses.
You don't get two opposing magnetic fields. The voltages at either end of the coil will be different, so you'd get a single current - which you could work out
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which will generate a single magnetic field, which will look like 500Hz modulated at 100Hz. There's no non-linear mixing involved.
Do you mean the magnetic vector potential, symbol "A"?
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Not "outside" of anything. It's just a different-from-the-usual mathemati cal formalism for describing how charges moving over *here* affect charges over *there*.
And yes, it's detectable. Aharanov-Bohm effect:
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and yes, that is "outside" of Classical EM, but QM's mathematical abstrac tions are as real as any other mathematical abstractions (H and B field, D and E field, etc.) if you can use them to reliably detect and manipulate st uff, which you can.
The foregoing responses still apply. The B field is the curl of the A fie ld and since the B field under consideration is the linear superposition of the 200 Hz and 300 Hz fields, then absent any overdriving or nonlinearitie s in the hardware there will be no harmonics or sum/difference products see n in the A field.
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