Best example how to generate electric curent without without "cutting" wires with a magnetic flux is a Faraday Disc. Where electric charges existing in the conductive metal are placed in a magnetic field (which simply enhance their mass) and spinning the disc simply throw away these particles of electric energy by inertia (so called centrifuge force).

It is quite obvious why in such arrangement a greater current is obtained as voltage depends on the radius which is usually small for practical applications.
Depending on metal used for disc results can be very different. For example if instead of copper disc is used a disc made of silver (aluminium and/or magnesium) alloy, thickness of disc dictate current and radius dictate voltage.

In RakarskiY model above if we replace coils with discs, magnet static and rotate the discs in the same direction, each disc will have opposite sign and no cutting of magnetic flux is required.

I have not finished my research on the "Faraday disk paradox", but it is certain that if you rotate a magnet around its axis, the magnetic lines of force remain in place. That is, the magnetic field, its force effect does not depend on the rotation of the magnet body. An interesting phenomenon indicates that we know nothing about the nature of the magnetic field. As for how the EMF is induced in the Faraday disk, I have my own vision, but until I conduct an experiment, I do not want to talk about it, and this is not a question for me.

FARADAY'S PARADOX | Patreon 

As for the generator of Pixia or the unknown R.M., who sent a letter to Faraday, their machines worked on the effect of changing the anapole moment. True, the effect itself was described only in 1957. All generators with closed magnetic circuits (and the Pixia machine belongs to this type) work on the phenomenon of induction when changing the anapole moment in the zone of the conductor in which the EMF is induced.
  

Quote from: rakarskiy on Feb 12, 2025, 01:04 AMHello UFO!

Hello Rakarskiy!

Quote from: rakarskiy on Feb 12, 2025, 01:04 AMI respect your conviction,

Fine, but besides "respecting it" do you "agree to it"?

Quote from: rakarskiy on Feb 12, 2025, 01:04 AMbut you don't accept the obvious at all.

Of course I do!!

Quote from: rakarskiy on Feb 12, 2025, 01:04 AMTo induce EMF in a wirer, provided the conductor is moving in a magnetic field or vice versa, a number of conditions must be fulfilled:

For maximum EMF, the lines of force must be perpendicular to the conductor at an angle of 90 degrees (sin(a) = 90*)

I agree to above statement 100%!!

Quote from: rakarskiy on Feb 12, 2025, 01:04 AM...along the entire length of the conductor (L).

As I disagree with above statement, "Imaginary Lines Of Force" (ILOF) does NOT need to "cut" -AT ALL- the ENTIRE LENGTH of Conductor (in a Coil) to obtain Induction gain!!
As a matter of fact, in NONE of ALL the actual Generators in our Planet it takes place like you mentioned above, there is always ONLY a Specific Area of ALL the Induced Coils which is actually "cut".

Quote from: rakarskiy on Feb 12, 2025, 01:04 AMIn the area of the conductor, the magnetic induction (Bm) of the magnetic field must have a corresponding value in Tesla, the crossing velocity must be appropriate (v).

E = Bm*L*v*sin(a)

This condition cannot be fulfilled in any way in the Pixie machine.

Rakarskiy...What do you mean that "this condition cannot be fulfilled on the Pixii Machine"?
Which "condition"?...that Coil wires and Field are NOT at 90º?
If it is, then, I am sorry, but you are wrong!!

Please watch image below that I have to make from scratch, for you to see (as others following this Topic), just to demonstrate THE SAME INDUCING METHOD which is STILL APPLIED on every single (CONVENTIONAL) generator in our planet


This is the SIMPLEST WAY to observe the Pixii-Ampere Generator Induction Cycle.

Both ENDS of the U-Shaped Magnet have one South Pole as other a North Pole, and every time they sweep the Stator Coils-Steel Core ON THE GREEN SHADED AREA is where B-Field and Conductor Wires meet, crosses, coincide at a 90º Angle. It does not matter how they rotate...it could be CW or CCW.
On this green area is where Induction Starts and Ends on each side of each coil, and of course the definition of where it starts and where it ends DOES NOW depends on Rotation Direction.

Quote from: rakarskiy on Feb 12, 2025, 01:04 AMThe maximum EMF in the coils of a Pixie generator is recorded when the magnetic flux in the core is fully closed. At this point, the entire magnetic field is concentrated in the body of the magnet and the core. This state is the state of the Anapole Moment (Toroidal Dipole).

I agree with your statement above also in a 100%.... look at the image below:


On above image Rotor Magnet is above and Aligned-centered with both Stators Coils...Yes, I also agree that here is where the PEAK Induction takes place. I have "shaded" all wires in green, and NOT because they are all at 90º with Field, BUT, because here Field VORTEX INFLUENCES (Induces) ALL wires on Both Coils, of course, one Coil will set a Negative Peak, while other will generate the Negative Peak.
the Induction "STARTS & ENDS" when Field start sweeping the green shaded area of coils, as when it starts LEAVING Coil Wires.
Yes, the "PEAK" is whenever there is a FULL ALIGNMENT between B-Field and Steel Core CENTER.

Now, do you realize that actual Science does NOT recognize that this "SMALL TIME FRAME CENTERED=PEAK INDUCTION" is true?...

However, this is "Figuera's Principle of Induction"...except that it is NOT a Rotation but a Linear displacement...

This is the ONLY WAY to understand the AC SINE WAVE!!...So, whenever Field starts entering Coil Wires, Sine starts to GO UP (POSITE), when sine reaches PEAK, is at FULL, CENTERED ALIGNMENT between Core-Field, and you can call it as you please, like the "anapole moment"...however, all this "moment" is, is a FULL CENTERED ALIGNMENT between Rotor-Stator.
Then, as B-Field LEAVES CENTER ALIGNMENT (Anapole Moment) related to Stator Coil, then Sinewave starts GOING DOWN...

And above description, was just the Analysis on one Coil, as an example of the Positive Sinewave...As the other Coil is generating a NEGATIVE SINE at the same time but apart by 180º.

Quote from: rakarskiy on Feb 12, 2025, 01:04 AMPixie's collector switch was added to his design at the suggestion of Ampere, who was the customer for this device. So in the primary design it was an alternator.

The "switch" or "Rotary Switch" or COMMUTATOR, as a basic name, is just to CONVERT AC to DC...as this commutator ONLY COLLECTS through the brushes the POSITIVE SINEWAVES.

Quote from: rakarskiy on Feb 12, 2025, 01:04 AMThere is another slide where I have given two versions of a generator with a magnetic rotor and a magnet as a core element, both systems work on the same principle of inducing EMF in the coil wires.   

This Image above is NOT the same type of structure as the Pixii-Ampere Generator.

On Pixii Generator each Field Polarity (N+S) is FACING DIRECTLY each Stator Coils, wires and steel core.

You have made a completely different type of Model, just to make your "anapole moment" "fit in"...however, and AGAIN, is NOT the same, exact model.

Question: Have you built the Model above?...Because if you build it, and test it...it will generate (Induce) very low Power, no matter how strong the magnet is...or how many Turns you add to Coil...or how thick steel core is...
Because the LOSS in Magnetic Field is GALORE (HUGE) DUE to such Long and Angled Steel Core!!...honestly, It is a completely useless design!!...it just works to explain your "Theory of the Anapole Moment"...

Ufopolitics

Hello UFO!

Thank you for the detailed answer, how do you understand the essence of the Ippolit Pixia generator. Unfortunately, you did not analyze the design, in terms of real processes with magnetic induction values in the zone where the induction should be produced. The EMF formula that simply cannot work there has four factors:

Magnetic induction (Bm) is a fundamental characteristic of a magnetic field, like intensity for an electric field. In the SI system, magnetic induction is measured in teslas (T).

The straightness of the conductor (L) of the coil in relation to the magnetic induction vector, in this design will be no more than 45-75* [sin (75° 10′) = 0.9666746. sin (75° 9′) = 0.9666001].

Only a small part of the turns (and only a small part of the turn) can fall into the zone of cutting by the lines of force. Even in this question, it is necessary to understand what kind of induction this phenomenon will cause. Let's consider a real design, and not what is drawn in textbooks.
 
   

You see, reality is different, especially the shape of the tips, U-shaped magnets. Secondly, the gap between them. Magnetic flux always tends to concentrate towards the lower resistance. So I modeled the approximate magnet ratio (to get closer to reality, I took Alnico magnets.) and made a simulation with the definition of magnetic induction in the area of the supposed conductor cross-section along the lines of force.


The next step is three simulation episodes, bringing the magnet poles closer to the core volutes with coils. The data is sufficient to make preliminary calculations.

The program calculated the magnetic induction of the coil conductor zone. The best parameter for the first induction option [E = Bm * L * v] is the first position (left screen), since the magnetic lines cover a larger number of turns with an average magnetic induction value of Bm = 0.1 Tesla. Let's say the core diameter is 30 mm, the circumference will be [P = 2πr = 2π15 = 30π ≈ 94.24776 mm]. Let's take the total number of turns in the coil as N = 200, the number of turns in the cutting zone by magnetic lines will be 10% (200 * 0.1 = 20), that is, in two coils it will be 40 turns. Further, not the entire length of the turn is active, but only that which is on the straight line cutting the conductor. Let us define it as 40% of the circumference without taking into account the angle [94.2 * 0.4 = 37.68 mm * 40 dbnrjd = 1507.2 mm (1.5 m).
Next, we need to find out the speed at which the magnetic lines cross the conductor. Let's say a manual drive with a gearbox can spin the magnet up to 500 rpm. The circle around which it rotates will be 70 mm in diameter. We can calculate the angular and linear speeds: w = (1 rpm = π/30 rad/s = 0.104719) * 500 rpm = 52.36 rad/s, v = wR = 52.36 rad/s * 0.035 m = 1.83 m/s.


 Е =  Bm * L * v  = 0,1 T * 1.5 m * 1.83 m/s = 0.27 volts and all two coils in series. And this is the most idealized result. In the second position, the area of the intersected turns will decrease sharply, which will worsen the result even with a slight increase in induction.

We have another result, magnetic induction in the core body. It was Bm = 0.11 Tesla. But this result will act on all turns of the coils, on those sections of the conductor that are in the focus of the closed flow. Anapole moment.

1) Е = 4.44 * N*B*S*f  (где   f = p*RPM/60 = 2 * 500 / 60 = 16-17 Hz;  S = 0.025 * 0.025 = 0.000625 m^2)  = 4.44 * 400 * 0.11 T *  0.000625 m^2  *  16 Hz = 1.95 volt
Во второй позиции имеем уже магнитную индукцию в сердечнике 0,2 Теслы:

2) Е = 4.44 * N*B*S*f    = 4.44 * 400 * 0.2 T *  0.000625 m^2  *  16 Hz = 3.5 volt

If we take into account the resistance of all windings and the resistance of the galvanometer, then if only the option of cutting the conductor with magnetic lilies worked, then Ampere would not see anything.

And I will say even more that the principle of the generator of Ippolit Pixia was completely repeated by Kromrey in his generator, which pulled Bedini out of oblivion.
 

 

I don't know about the Anapole moment, but the generator totally looks like Kromrey converter. In one of the Energy from vacuum series episodes Bedini says that when they were trying to manufacture Kromrey converters, the manufacturing company stopped existing and all the models disappeared. The converter heats up, but at the same time radiates coldness. So I'd say we don't have the physics to describe this device available yet.