CROPCIRCLES BY ELECTRIC AND MAGNETIC FIELDS
An exercise in electromagnetism
1. IONS PUSHED TO ONE SIDE OF THE STALK
2. A BOL AS CIRCLECURRENT
3. BOLíS IN VERTICAL MOTION - THE LORENTZ FORCE
4. BOLíS IN VERTICAL MOTION - PART 2
5. THE SUPERBOL AND ALTERNATING CURRENTS
6. HORIZONTAL MOTION
8. THE EARTHCURRENT
9. THE EARTHCURRENT - PART 2
10. MAGNETIC DUST
11. BOLís OF MAGNETIC DUST
12. THE FRACTAL BOL
13. MAGNETIC DUST SUCKED IN AND SPRAYED OUT
14. THE END
I wished I had done my best at school, when I was young. I wished I had finished university. Then I should have been better on calculation. I could have calculated the magnitude of all the mentioned effects and estimate their outcome in numbers...
Above the crop floats a BoL. For the moment it hangs there perfectly still. No force from the BoLīs circlecurrent acts on the electric charges of the ions in the stalks. As long as the circlecurrent doesnít change, its accompanying magnetic field doesnít change either. A magnetic field that doesnít change and doesnít move exerts no force on electrical charges that are standing still, like the ions in the stalk (Lorentz force law). So for the moment nothing happens.
Suddenly the BoL moves upward. For practical reasons we take the BoL starting from the soilís surface. That is, we take the circlecurrent lying flat on the soil. To understand what happens now we everywhere decompose the magnetic field of the BoL in one component in the horizontal plane and a second component along the vertical line. In this case the vertical component lies along the BoLís velocity direction. When the velocity of an electric charge is along the magnetic field line, the magnetic field exerts no force on the charge (Lorentz force law). The magnetic component in the horizontal plane is the only force working here. Consider again the BoL of fig. 2.2 :
Fig. 3.1We take for analysis a horizontal plane just a small distance under the circlecurrent, see the dotted line in the small vertical cross-section picture. The BoL, and with it our plane of analysis, is viewed from above and you move along with the BoLís velocity. You see the BoL standing still beneath you and the soil of the earth receding behind the BoL. Since velocity is relative, you are free to choose this point of view as your standing-still base. Doing so provides a neat frame of reference in which the law of the Lorentz force can be applied correctly, see fig. 3.2. For reasons of simplicity, we assume the ions in the stalks of the crop to have a positive electric charge. If they had a negative charge all forces (light blue arrows) would point in the opposite direction.
The swirling light blue arrows depict the forcefield, that is the force exerted by the BoLís magnetic field on the moving charges (the ions) in the crop. The ring of fat light blue arrows (strong force there) lays on the same place as the ring of fat dark blue arrows (strong field). Mind, field is not the same as force.
Green arrows point in the lay-direction of the crop. As depicted in fig. 1.1, when the force on the ions is in one direction the lay of the crop is in the opposite direction. If the weaker part of the field cannot reach the necessary ion concentration in the stalks, only a ring appears, at the location of the fat arrows.
The small diagram depicts the BoLís circlecurrent (red) as viewed from aside and its current plane of analysis (dotted line). It also shows the velocity (grey) of the ground (brown) - the whole earth in fact - with respect to the BoL, which in fact is the velocity of the stalkís ions in the magnetic field of the BoL.
If the BoL had moved downward towards the crop, instead of upward, and went through it until it hits the ground and disappears, Lorentz law then gives the picture of fig. 3.3. The magnetic field remained the same but the forcefield has reversed direction, and so the lay of the crop.
The strength of the magnetic field causing the ion concentration, drops with the distance, causing lesser ions concentrated when further away from the BoL. Radiation intensity, when one single BoL is the source, drops with the distance too, causing lesser radiation absorbed by any ion when further away from the BoL. As an effect the over-all heating may drop that quickly at a certain distance that it sufficiently serves as a threshold. A threshold is needed to get those beautiful sharp edges seen at most cropcircles.
If not sufficient one expects instead a transition area at the border of half-downed crop. Which indeed now and then is observedÖ
Only calculation or simulation can tell. Or maybe experiment. Page 7 is about experiments.
Shall we now celebrate ”We have a cropcircle! We have a cropcircle!”
Well, except from experiment to show it actually works, there is a small back-fire, a certain set-back effect. Follow me to the next page!
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