Thread: Eric Dollard
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Old 08-08-2012, 05:01 AM
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Some considerations on the tentative tuning relations data. I believe the Tandem mode relation confirms what Eric said. In this mode the condenser rings and extra coil act as one terminal capacitance on the top of the secondary. Therefore as the extra coil terminal capacitance is increased, condenser rings capacitance decreased, the working frequency of the secondary in tandem mode rises, and as the proportions of terminal capacitance vs rings capacitance is not linear or balanced, at a certain point the tandem frequency is unable to go beyond a certain level and then begins to decrease again, as the "secondary terminal capacitance" consisting of the extra coil continues to increase to keep the concatenated mode frequency constant.

Quote:
Originally Posted by T-rex
Two modes of resonance exist, the first is the longitudinal, the second is the transverse. For the first the extra coil input is inductive and thus subtracts from the ring capacitance. For the second mode the extra coil is capacitive and adds to the ring capacitance. The potential meter here is measuring the secondary potential. In the second mode the rings and extra coil all are one terminal capacity so the secondary acts with this as a somewhat lumped LC circuit. In the first mode it is a pair of coupled transmission lines so the magnification factor drops because of travelling waves, and additional losses.
Quote:
Originally Posted by T-rex
Two modes are possible for extra coil in relation with the secondary coil. Both involve quarter wave resonant rise, this the fundamental of resonant transformation. Its also known as constant potential to constant current transformation. A constant potential is a zero impedance (short circuit) a constant current is a zero admittance (open circuit). Departure from these zero values alters the coil distribution to something other than a quarter wave.

This quarter wave can exist in a distinct pair of manifestations. The first mode is when the quarter wave is distributed over the length of both extra and secondary windings as a whole, a pair of eighth waves let us say. This is the TANDEM mode. A multiplication in potential is derived hereby since the extra coil exhibits a higher transmission impedance thereby giving rise to a greater EMF between turns and thus a higher termination potential. All photos of my Bolinas and Integratron setups operated in this mode. It is the easy one to achieve.

The second mode of the extra coil and secondary coil connection involves two quarter wave distributions, one on each coil. This is not to be considered a half wave however. This mode is the CONCATENATED connection.It compounds the quarter wave resonant rise of the secondary coil with another quarter wave rise in the extra coil, hence a concatenated resonant rise. This is the holy grail of resonant transformer design and unheard of potentials may be gained in this manner. To derive this analytically is extremely difficult, it is an advance transmission line problem. It might not even be possible to calculate or even achieve this mode of resonance, but we are going to give it a try.
The "secondary" measurements could therefore effectively be said to be the tandem mode frequency of the secondary minus its extra terminal capacitance. In this case I think it should be possible to get similar "tandem mode" results simply by replacing the extra coil with a large capacitance. This could be something to try at some point.

As for the concatenated mode, that seems to be a little more tricky

Taking a rounded up/down value of 72% of F as the tuning for the extra coil and secondary

If F = 3670 kc
Luminal wavelength = 81.68 metres

72% tuning = 2642.4 kc
Effective wavelength = 113.454 metres

Both coils tuned to 72% "total effective" wavelength = 226.909 metres
Effective frequency = 1321.2 kc

F to effective frequency ratio = 277%

Effective frequency to F ratio = 36%

This could only be if the coil was operating in 1/2 wave mode.

1/2 wave frequency = 1835 kc

Effective frequency to 1/2 wave frequency ratio = 72% (= tuning factor of F)

Hypothetically, if this was the case then it would be reasonable to think that this is a 1/2 wave situation with the coil operating at 72% the effective luminal frequency due to losses and burdens and what not.

However, while at 1/2 wave it would be operating at 72%, at 1/4 wave it would be operating at 100%. So where did the losses and burdens go?

This "total effective frequency" of 1321.2 kc is not measured, neither is the 72% tuning factor of 2642.4 kc. So this can't be the case.

At 72% tuning, what is measured is:

Concatenated frequency = 3670 kc
Tandem frequency = 1813 kc

3670 kc = 138% effective frequency of 2642.4 kc
1813 kc = 68.6% effective frequency of 2642.4 kc

This seems to confirm "faster than light" when the extra coil is implemented in concatenated mode, and "slower than light" in tandem mode when the extra coil is just a lump of metal. At least theoretically if the coiled wires were lengthened to 72% tuning rather than through additional capacitance.

Bearing in mind that at 72% of F, relative to the wire lengths of the coils:

Secondary luminal frequency = 5730.4 kc
Extra coil luminal frequency = 4550.8 kc

72% F Secondary = 46.11% luminal
72% F Extra coil = 58% luminal

Also, while tuned to 72% of F the extra coil with 10pF input is measured at 100% F.

As I don't believe the coil is operating at 277% as one length of wire, it's not at 72% in 1/2 wave mode, and there is no significance to the 72% frequencies beyond standalone operation, the only other explanation in my mind is that there are two 1/4 wave actions going on. There are two modes of extra coil coupling as explained by Eric which is responsible for this increase in frequency from the 72% tuning factor up to 100% of F. And the tandem mode operation is not a 1/2 wave equivalent as the ratio to F is clearly variable.

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Last edited by dR-Green; 08-08-2012 at 06:54 AM.
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