Unipolar electromagnetic induction

Phenomenon of unipolar electromagnetic induction is the structure part of phenomenon of "electromagnetic induction" (in new interpretation, Sidorovich, 1980) [1].
As known, J. C. Maxwell had not worked out the equation for a magnetomotive force, bounded with "a magnetizing action on an iron, moving in electric field", that was noted by L. Boltzmann in the editorial comments to the German edition (1898) of the works of J. C. Maxwell.
In the experiments with movement of the charged or charging bodies in an electric field (M. Faraday, 1838; H. A. Rowland, 1876; W. C. Roentgen, 1885; A. A. Eichenwald, 1901 1903) the "motion of conductors" and "motion of dielectrics" was only investigated, but these experiments had not deal absolutely with "motion of magnetics (magnetodielectrics)" transverse to external or own electric field. Therefore the results of the experiments for "MMF of motion" will be quite adequate only to the generalized and modificated equations of Maxwell Hertz for moving media (1890) under the condition of proper interpretation of J. J. Thomson's formula (1881) for magnetic field of electric charges in translatory motion.
As opposed to the full phenomenon of electromagnetic induction (with "transformation MMF" and "MMF of motion") the unipolar magnetoelectric induction is determined only by "MMF of motion", when magnetisable body or medium (magnetodielectric, ferrite or other) is moving through external or own magnetic field, across it.
On principle of unipolar electromagnetic induction a number of the magnetic unipolar machines (transducers) and the electrohydrodynamic devices (EHD-machines) may be designed, which falling to a class of the magnetic inductive machines [2] with electric field of an excitation and induced magnetic field (for example, the magnetic unipolar generator of alternating current, Fig.).
The dual symmetric induction phenomenon for "unipolar electromagnetic induction" [1] is the phenomenon of "unipiolar magnetoelectric induction" (Faraday, 1831), in which a magnetic field and translatory motion of electroconductive or dielectric body or medium - the cause, and a originated electric field - the consequence.

The unipolar electromagnetic induction in an external electric field, as the particular case of the phenomenon of electromagnetic induction in new interpretation, was identified in 1980 [1] in capacity of the dual symmetric induction phenomenon to the classical fundamental phenomenon of Faraday's "magnetoelectric induction" and accordingly to the unipolar magnetoelectric induction (Faraday, 1831).
In capacity of a working body in the unupolar (homopolar or acyclic) magnetic machines (transducers) is need to use a magnetisable body or medium (magnetodielectric, ferrite). In EHD-machines (transducers) a magnetodielectric liquid or a magnetic liquid may be such moving working medium. The working body of an electroconductive metallic magnetics is useless in given case, so long as an electric field is not permeating in a electroconductive metals.
If the moving body (transverse to an external electric field) is a magnetisable body or medium (magnetodielectric, ferrite, magnetic liquid) then in it along with MMF the magnetic polarization takes place and this body acquares the magnetic moment, according to Law of Electromagnetic Induction [1].
For the case of rotation of a magnetisable body (magnetodielectric, ferrite) in external axial electric field its radial magnetic polarization takes place.
With aim of power take-off (p.t.o.) the design of a magnetic unipolar generator should be preferably with alternating electric field of excitation (varying in time or in space).

If the moving infinite extent body (transverse to own electric field) is a magnetisable body with permanent electric polarization (magnetodielectric, ferrite, electret, ferroelectric or composit) then in it along with MMF the magnetic polarization takes place and this body acquares the magnetic moment, according to Law of Magnetoelectric Induction [1].
For the case of rotation of a magnetisable body with permanent electric moment (magnetodielectric, ferrite, ferroelectric or electret-composit) in own axial electric field its radial magnetic polarization takes place.
In this case the experimental investigation has be advantageous.

"MMF of motion" is characteristic quantitative parameter of unipolar electromagnetic induction. The quantitative representation of phenomenon of electromagnetic induction is in form of Law of electromagnetic induction [1]. Then

"MMF of motion" (in magnetodielectric or other magnetisable body, moving across an external or own electric field) states as following (in particular, for a straightlinear part of a body):

h = - (- / +) D l v

where
h - the magnetomotive force (MMF), A;
D - the electric induction, C/m2;
l -- the length of a magnetic, magnetodielectric or other body, m;
v - the velocity of motion, m/s.

The magnetomotive force is equal to the rate of crossing of the body by the individual lines of electric induction, taken with the opposite sign.
As a result, the direction of the induced MMF and magnetic polarization in magnetisable body, moving in electric field across to the force lines, is determined by the mnemonic "rule of a left hand" or the strength induced magnetic field determined by the vector product (in agreed-upon rightwinding system of co ordinates) [in the form of modification of the formula of J. J. Thomson (1881) [4], which originaly was introduced by him for the expression of magnetic field of a convection current]:
H = [D v]

Further, Lentz's Law (1833) gives Rule of Lentz for the direction of the induced MMF, thus:

"The MMF induced in a magnetic circuit always acts in such direction that the current it drives around the circuit opposes the change in electric induction flux, which produces the MMF".

It, accordingly, demand for the opposite sign in the above presented relations, which in result may be both "-" and "+" (as it is above in equations), in dependence from accepted conditional directions.

Surprisingly, starting in the right way from the new conception of the phenomenon "electromagnetic induction" [1] and, in particular, of "unipolar electromagnetic induction" with "MMF of motion", the cause of a beginning, configuration and polarity of the original magnetic field of the Earth and planets finds out an explanation in dependence of the speed and the direction theirs rotation around own axis [2].

[1] Sidorovich A. M., Electromagnetic Induction (New Conception). -- Proc. Int. Symp. (ISEF'87), Pavia, Italy, September 1987, p. 25-27.
[2] Sidorovich A. M. Comparison of the Principle Peculiarities of the Electric and Magnetic Inductive Machines. - Proc. Int. Conference on Electrical Machines, Istanbul (Turkey), 2 - 4 September 1998.