Hi Fausto,
Thanks for your reply. A few comments...
1) it does not matter. The before and after experiment were all on the same coil. Others have measured their coil and seen that for the equivalent "SIZE" of coil it was not producing 12 volts. My coil is only equivalent in size not in turns or weight or area of copper. The concept is to prove that a "small coil can easily produce 12 volts".
You are completely missing the point here. This is pure Faraday's Law and nothing more. It has nothing to do with the fact that it is is a "small" coil. If you compare two different coils that are approximately the same size and one generates a much high voltage than the other then you have look at why that is happening.
http://hyperphysics.phy-astr.gsu.edu/hbase/electric/farlaw.html#c1Any change in the magnetic environment of a coil of wire will cause a voltage (emf) to be "induced" in the coil. No matter how the change is produced, the voltage will be generated. The change could be produced by changing the magnetic field strength, moving a magnet toward or away from the coil, moving the coil into or out of the magnetic field, rotating the coil relative to the magnet, etc.
Faraday's law is a fundamental relationship which comes from Maxwell's equations. It serves as a succinct summary of the ways a voltage (or emf) may be generated by a changing magnetic environment.
The induced emf in a coil is equal to the negative of the rate of change of magnetic flux times the number of turns in the coil. It involves the interaction of charge with magnetic field.
The transformer coil that you tested had many more turns than Romero's pick-up coil and that's one of the main reasons that you could generate that high a voltage. Repeat the same test with a coil that is hand-wound and the same gauge wire that Romero used and approximately the same size and you will be in for surprise. The main difference between the two coils will be the number of turns and that will explain why the observed voltages are different. This is absolutely incontrovertible.
2) And indeed it did. I clearly showed that on the video even though in rough ways. You could post a video yourself showing more professional measurement and proving my demonstration wrong! One can see it right away more light on the LEDs by simply putting the biasing magnet. You did not notice it?
I'll watch the clip again soon and tell you what I see. "Rough ways" is part of the problem. Your ability to hold the coil in approximately the same place is limited because in one case you are trying to compensate for attraction and in another case you are trying to compensate for repulsion. As long as the brightness and the length of the flashing is compatible and knowing the limits of human perception for detecting these differences is one factor. More importantly, I think in your clip you manage to show a few good scope shots for both orientations and the look very comparable.
Put it this way, the understanding of magnetic interactions says the power generation should be the same. You made a "rough" test and as long as they look "roughly" the same then you've got nothing Fausto.
Like I said I'll look at the clip again but as researcher you absolutely want to avoid fooling yourself. You know the story of the horse that could do addition and subtraction? If you don't know the story you should look it up.
3) Off course there is a relationship between the too. A child can see that!
There is no relationship Fausto.
For the output power:
For the spinning rotor, the only thing that determines how much energy is transferred into the pick-up coil is the difference in rotational speed before it passes by the pick-up coil and after it passes by the pick-up coil. It is as simple as that because the energy reduction in the slower spinning rotor has to go somewhere. Where it goes is "into" the Lenz law drag. And when you have Lenz law drag that means you have transferred some energy into the pick-up coil.
For the cogging:
On the other hand, the cogging is always energy neutral, and has nothing to do with the decrease in energy in the spinning rotor. We are going to ignore any possible increased bearing friction that may occur from the cogging. Depending on the type of cogging, the rotor will first speed up and then slow down as it passes the polarized core of the pick-up coil, or, alternatively, it will slow down then speed up as it passes the polarized core.
The output power event causes the rotor to slow down and extracts energy from the rotor. The cogging event does not cause the rotor to slow down and does not extract energy from the rotor.
Even though the two events happen at the same time, they are superimposed on top of each other and have nothing to do with each other. This happens all the time in electrical circuits and in mechanical systems. You need to try to "open your mind" and see this because this is the true reality that describes the dynamics of this system.
MileHigh