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Doing lots of reading and trying to catch up in the meantime. By the way, reading Le Bon really brings home the fact that Einstein's whole credit for energy-mass equivalence was a cover-up.
Taking the most accurate measurements I can find in CS Notes, I have for the (original) extra coil
L = 17.68mH
C (total) = 435.67pF
F = 57337 cycles/sec
Z = 6371 ohms
L/C = Z˛ = 405925383.53
This is going to be tricky! Interestingly I get the same impedance for both variations of the scaled down extra coils above. I'm not sure how to integrate the end capacitance into this though?
Two factors exist, the LC root frequency, and the L over C root impedance. The frequency is scaled but the impedance should be the same. It is a math knot. I would directly scale wire length in this case. Use an equivalent wire length and fool with coil diameters etc to find a fit. Try to keep L to C ratio, Z squared same for scale model as full size unit.
Secondary frequency (alone & tuned) = 1749780.2 cycles/sec
Diameter = 36.29cm
Height = 2.58cm
Number of turns = 16
Conductor length = 18.24 metres
Static inductance = 175.46µH
Cosine quarter wave inductance = 99.72µH
Free space self capacitance = 28.66pF
Sine quarter wave effective capacitance = 52.88pF
This is where it gets more complicated.
Square root of scale ratio = 0.15554...
From original extra coil where L = 17.68mH and C = 115.67pF, required
L = 2.7mH
C = 67.2pF
Taking the physical extra coil dimensions, times 0.15554... gives
Extra coil frequency (free) = 747704.4 cycles/sec
Diameter = 39.11cm
Height = 37.13cm
Number of turns = 100
Conductor length = 122.87 metres
Static inductance = 2.75mH
Cosine quarter wave inductance = 1.56mH
Free space self capacitance = 17.99pF
Sine quarter wave effective capacitance = 30.29pF
Plus 25.3pF terminal gives the desired result, as far as inductance and capacitance is concerned and as far as I understand it. But the frequency is way off.
Going by the scale ratio of 0.024... so it's in proportion with the secondary and the total wire length in the system is scaled by the same factor
Extra coil frequency (free) = 4807066.667 cycles/sec
Diameter = 6.08cm
Height = 5.77cm
Number of turns = 100
Conductor length = 19.11 metres
Static inductance = 427.86µH
Cosine quarter wave inductance = 243.15µH
Free space self capacitance = 2.79pF
Sine quarter wave effective capacitance = 4.71pF
But then the problem would be that the extra coil won't be seen as an inductance, so I expect the end frequency would be closer to 1000 kc than 1860.
6SN7 runs best with 300 volts on the plate. 6SN7 will put out a good 5 watts at this voltage. The cathode resistor should be 1000 ohms and for safety 2 watts carbon, ideally. Make sure not to burn the tube out. Put a ma meter on the plate circuit - not on the rf side. And make sure it stays around 20 ma. Your plate voltage looks too low and the cathode resistor is 10k in your circuit just for tuning and setup to ensure not to burn out the tube. Once you feel confident that everything is working ok, then you can go with the 300 volts on the plate and the 1k cathode resistor. Make sure both sections are in parallel.
Engineering analysis of the Colorado Springs Tesla Magnifying Transformer
Engineering analysis of the Colorado Springs Tesla Magnifying Transformer
Preface: the following material and calculations are taken from the Tesla Colorado Springs Notebook. An index of important pages is given at the end.
1) The Colorado Transformer consists in part of a basic quarter wave resonant transformer, referred to in the notes as the primary-secondary structure. The primary circuit is of the balanced, open loop break, configuration. This break in the primary loop gives rise to steep transient waves. This in turn gives rise to a multitude of harmonic travelling waves upon the coiled windings which constitute the Tesla Transformer. This is discussed in “Condensed Intro to Tesla Transformers.” Like did Tesla, we will focus on the sinusoidal, single frequency, distributions.
2) Next is the extra coil. This coil here operates with a propagation constant less than an eighth of a wavelength. Therefore the coil is operating as a simple inductance coil, not as a distributed network. The distributed network capacity of this mode can be expressed as a definite terminal capacitance. Hence the inductance of this coil is adequately represented by its static inductance.
3) Finally is the capacity mast. The effective electrostatic capacity of this mast is given. To convert from C.G.S. “centimeters” first divide by the speed of light squared, in centimeters per second, then multiply by ten to the plus ninth. This gives Farads. It works out to 1.1 times C.G.S. gives picoFarads. How easy.
The capacity of the mast consists of two components, one is the self capacity to earth in per Farads, the other is the mutual elastivity K to the ionosphere in per Farads. The measured mast capacity is a resultant, the square root of the ratio of self capacity, C, to the mutual elastivity, K. The actual values of C and K are unknown. The square root of the product of C and K is the propagation constant. The smaller the value of this constant, the greater is the electro-static coupling to the ionosphere.
4) It should be noted that the earth connection at this location was very poor. It was not adequate for the system neutrals. This gives rise to stray mutual inductance between neutral connections. This also led to travelling waves on the two wire 1000 volt power line that powered the Tesla system. Standing waves in the distant generator windings shorted out these coils burning out the town’s generator station.
In conclusion, the Colorado Tesla Transformer is most basic. An extremely high electromotive force is established through the employment of a large lumped series resonant circuit. This series circuit consists of a static inductance coil, the extra coil, and a static capacitance, the capacity mast. This is a basic LC circuit.
This LC circuit is fed by a constant current resonant transformer as a source of low frequency alternating current energy. The operating frequency is near 45 Kilocycles.
5) The propagation constants and the transmission impedances can be derived from the basic physical dimensions of this system. It is fortunate that we have the “RadioTron Designers Handbook”, Tesla did not. He had no frequency counter, no scope, no W.W.V. time standard, Nothing! Think about this.
6) SECONDARY COIL DIMENSIONS AND CONSTANTS
Diameter: 15 meters
Height: 1 meter
Number of Turns: 17 numeric
Mean Length of Turn: 47 meters
Total Length of Turns: 800 meters
Luminal Wavelength: 3200 meters
Self Capacitance: 1500 picoFarad
Self Inductance: 10 milliHenry
Luminal Frequency: 94 Kc/sec
Free Space Frequency: 64 Kc/sec
Actual Frequency: 43 Kc/sec
Free Space Propagation: 68%
Actual Propagation: 46%
Transmission Impedance: 2500 Ohm
Dielectric Burden: 330 picoFarads
7) EXTRA COIL DIMENSIONS AND CONSTANTS
Diameter: 8.4 feet
Height: 8.0 feet
Number of Turns: 100 numeric
Mean Length of Turn: 8 meters
Total Length of Turns: 800 meters
Luminal Wavelength: 3200 meters
Self Capacitance: 112 picoFarad
Self Inductance: 25 milliHenry
Luminal Frequency: 94 Kc/sec
Free Space Frequency: 176 Kc/sec
Actual Frequency: 116 Kc/sec
Free Space Propagation: 187%
Actual Propagation: 123%
Transmission Impedance: 15 Kilo-Ohm
Dielectric Burden: 26 picoFarads
8) MAST CAPACITANCE EFFECTIVE VALUE:
Measured Capacitance is given approximately at 320 picoFarads
The self capacitance of the extra coil is given as 112 picoFarad.
The total capacitance is hence given,
Total End Capacity, 432 picoFarad
This end capacity is series resonant with a 25 milliHenry inductance coil. This gives rise to a propagation constant, (the resonant frequency) and to a transfer impedance.
9) The propagation constant, or frequency, is defined as the inverse of the quantity consisting of the square root of the inductance times the capacitance, this root then multiplied by two Pi. Hence cycles per second.
The product,
25 milliHenry times 432 picoFarad
Results in a frequency of
47 Kilo-cycles
10) The transfer impedance is given as the square root of the ratio of the inductance to the capacitance.
25 milliHenry divided by 432 picoFarad
Results in an impedance of
7600 Ohm
This represents the output impedance of the Tesla Magnifying Transformer.
11) The basic circuit is shown in figure 1:
In basic terms, a 45 Kc/sec 2500 Ohm source of alternating current energy energizes a large series resonant circuit consisting of an inductance coil and elevated capacity structure. At 45 Kilo-cycles per second, every ampere supplied to the extra coil gives rise to 7.6 Kilovolts at the elevated capacity terminal. The effects of higher harmonics and distributed constants can raise this potential by no more than 50% over the base 7.5 KV. Hereby, for a capacity potential of 1000 KV, the input current to the extra coil must be 132 amperes at 45 Kilocycles per second.
12) This derives the total KiloVolt-Ampere reactive activity of the extra coil in 1000 KV operation, hence, the total activity;
132 MegaVolt-Ampere
This is a substantial activity of 174 thousand horsepower, remembering that this is an average value, the peak value is unknown.
13) In conclusion, the Colorado Springs Tesla Magnification Transformer is a very simple system, no more than a giant series resonant circuit with an approximately sinusoidal waveform rendered asymmetrical by a moderate dampening constant. The extra coil is not operating as a transmission network of distributed constants, but only as a basic inductance coil. Hence the length of wire on the coil is somewhat immaterial. The mast capacitance swamps out the extra coil self capacitance, this suppressing transmission modes of higher harmonics.
This transformer is seen to be somewhat disappointing to the theorist. No fancy travelling wave interaction nor any stupendous harmonic conjunctions, only a Big Series Resonant Circuit. It can be surmised that the Colorado Springs Transformer was incapable of full mono-polar operation, due to the suppression of distributed constants. What is fortunate is that with the material hereby provided the Colorado Springs Tesla Transformer can be scaled down to any convenient size for experimentation. This setup is now quantified, and the mystics can remain silent.
73 DE N6KPH
Reference Index (From Colorado Springs Notes)
Page 43 & 58 Primary Circuit
Page 67 Primary Length
Page 203 Primary/Secondary Dimensions
Page 206 Secondary Frequency
Page 211 Secondary Inductance
Page 260 to 267 Capacity Mast
Page 318 Extra Coil Dimensions
Page 357 Extra Coil Ground Frequency
Page 359 Extra Coil Mast Frequency
Page 363 Extra Coil Free Frequency
I want to see more demonstrations of what people are doing...
My first attempt of setting up some kind of transmission experiment between the two coils.
Primary two turns of copperfoil strip
Secundary 20 turns of 0.6mm gold plated copperwire.
Coils are mirrored.
Today I finnished the two stands, I'll receive a signal generator and a scoop to do some testing in the week to come.
Lots of stuff to figure out still, a whole lot of stuff....
I am not in a position for much calculation now. The Colorado unit scaling is based upon a square root because L or C vary each with the square root since the frequency is based upon the square root of the product of LC. Try scaling the total wire length on each coil & see how that works out.
KEEP THE QUESTIONS COMING
The way I understand it is this: The secondary frequency is raised by the extra coil, so from what I can gather the extra coil has to be a certain inductance.
Full scale frequency = 45000 cycles/sec
Scale frequency = 1860000 cycles/sec
Ratio = 0.024...
Square root = 0.15554...
Full scale secondary frequency = 42800 cycles/sec
Diameter = 15 metres
Height = 1.0668 metres
Number of turns = 16 (Based on Tesla's description and the coil measurements the 17th turn is "excluded" and is on the top insulators - including that would make the coil height nearly double in the calculations)
Conductor length = 753.98 metres
Static inductance = 7.25mH
Cosine quarter wave inductance = 4.12mH
Free space self capacitance = 1185pF
Sine quarter wave effective capacitance = 2138.66pF
Full scale extra coil frequency (free) = 116300 cycles/sec
Diameter = 2.5146 metres
Height = 2.3876 metres
Number of turns = 100
Conductor length = 789.98 metres
Static inductance = 17.68mH
Cosine quarter wave inductance = 10mH
Free space self capacitance = 115.67pF
Sine quarter wave effective capacitance = 194.77pF
End capacitance in your analysis was 432pF.
Taking the static inductance of the extra coil and end capacitance, multiplied by 0.15554
L = 2.7mH
C = 67.2pF
I don't understand how the end frequency works out from this, because from this
ω = 2347650.708
and
F = 373640 cycles/sec
Aether Force is using my name and saying things that I never said. This organization was formed to destroy my efforts by the Gang of Four, names to be given very soon.
All material about me they put out is fraudulent. An insane and dangerous psychopath, aka Techzombie, is the source of most of this effort aided by others. Spread the word about "AETHER FARCE DOT NEM!"
Do not get involved with them, they are "The Kiss of Death."
Great on your efforts. I am envisioning a ham telluric net on 1860. The 807 is a great tube. 5933 & 1625 are basically the same. All are high voltage versions of the 6L6G. I will be back in the bush soon, because of the treachery that I am enduring. I might not come back out. The Gang of Four have done much damage and I have no more interest in these CIG things. It is best that I find another coyote and we both avoid human contact. By the way, Aaron has suffered greatly so give him all your support.
73 DE NGKPH
KEEP THE QUESTIONS COMING
Last edited by t-rex; 08-02-2013, 11:02 PM.
Reason: edited tube number
I am not in a position for much calculation now. The Colorado unit scaling is based upon a square root because L or C vary each with the square root since the frequency is based upon the square root of the product of LC. Try scaling the total wire length on each coil & see how that works out.
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