mnottertail
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quote:
ORIGINAL: dRGreen420
http://physics.info/waves-standing/
I'm not speaking of any light frequencies. That would be a speck, not even something you could make a coil out of. You are thinking about it upside down. This is in relation to propagation velocities. An EM wave supposedly travels at the speed of light (limited to) regardless of its frequency. As you point out this velocity is impossible along a wire for all the known reasons. But it's not impossible at all, as has been proven. As the wire is coiled in a particular geometry these limitations are overcome somewhat, resulting in velocities exceeding light. The free space propagation of a 1:1 ratio coil is 187% the velocity of light. Burdened by the frame and the wire and the insulation and so on, this is reduced to around 116%-118.9% as is confirmed by numerous different experiments and by different experimenters (with a metallic connection - the lowest frequency. With lighter coupling this raises).
The natural frequency of 101.292 metres of wire based on the velocity of light as the speed limit = 2959.685 kc
The measured frequency = 3522 kc
= 118.9% the propagation with the velocity of light as the limit.
Effective wavelength = 85.119 metres
Musical instruments have particular wire lengths, or resonating chambers, or appropriately spaced frets and so on for a reason. Change any of these factors and then see how good it sounds.
Previously tested coil:
126 turns
Diameter = 8.28cm
Height = 8.28cm
Conductor length = 32.271 metres
Luminal frequency = 2322.4 kc
Direct = 2694.8 kc
10pF = 2833.1 kc
Consideration of Coil Self Capacitance
1) Extra Coil Diameter
8.28 cm
2) Capacitance factor from Radiotron table for a coil aspect ratio of 100%
.46 Numeric
3) Multiply this by the coil diameter
3.8 picofarads
4) This is the "free space" self capacitance of this extra coil. This means a true air wound coil.
Now to determine the actual working capacitance of this extra coil resulting from the coil form and stray lead parasitic capacitance.
1) The theoretical velocity factor from the Wireless Power Table for a coil with a 100% aspect ratio:
187% numeric
2) The actual measured velocity factor
124% numeric
3) Taking the ratio of the free space to actual measured velocity gives
1.51 numeric
4) Velocity varies as the inverse of the square root of the capacitance
2.28 numeric
5) Multiplication of the free space capacitance by this squared factor
8.7 picofarads
6) This is the burdened coil capacitance resulting from the coil form and connecting leads.
v = 124% luminal velocity
C = 8.7 picoFarad
n = x 167 magnification factor
The inductance, characteristic impedance and resonant frequency of this extra coil is now developed.
1) The magnetic inductance of the extra coil by Wheeler's formula (Theory of Wireless Power) is
846 microHenry
2) The effective inductance for a cosine quarter wavelength current distribution is
by Steinmetz, two over Pi the total inductance,
539 microHenry
By Miller, one half the total inductance,
423 microHenry
3) The equivalent capacitance of the extra coil is given as
8.7 picoFarad
4) The effective capacitance for a sine quarter wave distribution is
by Steinmetz, two over Pi times C,
5.5 picoFarads
by Miller, eight over Pi squared times C,
7.1 picoFarads
4)The Characteristic coil impedance is defined as the square root of the ratio of inductance to capacitance
By Steinmetz
9.9 Kilo Ohm
by Miller
7.7 Kilo Ohm
5) The angular frequency is defined as the inverse of the square root of the product of inductance and capacitance
18 Kilo-radians per second
or
2860 Kilocycles/sec
Yadda yadda yadda blah fucking blah fucking blah.
The natural frequency of a length of wire when plucked does not have a thing to do with this. You are first of all, not plucking this wire and secondly, to create the standing wave, the wire needs to be tied at both ends to fixed points which changes your length. Or you could fix a point in the center and let the ends run wild, or several points along the length. a standing wave reinforces itself and gains amplitude, not frequency. Thats why you exist, the electrons orbiting an atom do so as standing waves, thats why their possible orbits are fixed, and there can be only so many electrons (your nodes and antinodes) can occupy any given orbit. All that crap being summed up as RESONANCE.
NO magic at all. The physical existence of the wire does not have any correspondence with the electromagnetic waves that are pushed thru it.
To excite or retard the frequency of an ocillation is done by ocillators where I come from, and tesla coils are used to do that at sound and light speeds in radio, cellphones, tv and the like. Nothing is happening faster than the speed of light.
YOUR CLOCK (and your math) is broken, and unrepairable.
What is the natural frequency of say excrement? one should be able by your methods to flush it excceding the speed of light.
to boost the Khz of the em with outside force is unremarkable and is ignored (but the biggest impetus) in these absurd and inumerate mathematics you demonstrate no understanding of. I see no vibration of the wire in a standing wave in any of these experiments.
This is a standing wave and destroyed that bridge by its natural frequency.
http://www.youtube.com/watch?v=j-zczJXSxnw&feature=fvwrel
Your natural frequency would need a wave, there is no wave in that wire.
Sorry, you got nothing.
< Message edited by mnottertail -- 8/21/2012 5:37:03 AM >
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