Magnetic mutual induction

Phenomenon of "magnetic mutual induction"[1] was in the first time identified, simultaneously with phenomenon of "magnetic self-induction" [1], on basis of new conception of "electromagnetic induction" in 1980 (A. M. Sidorovich [1, 2]). This phenomenon is in adequacy to principle of "magnetic transformation" of magnetic currents or magnetic tensions, in accord with it in practice the devices in the form of "magnetic current transformer" and "magnetic tension transformer" are distinguishing, that is also substantially for processes of excitation, propagation and receiving of "electromagnetic waves" (H. Hertz, 1888) and "magnetoelectric waves" (A. M. Sidorovich, 1988) in open space and directing systems. More in phenomenon of magnetic mutual induction the both phenomena of dynamic induction - "Magnetoelectric Induction" (M. Faraday, 1831) and "Electromagnetic Induction" (A. M. Sidorovich, 1980) are sequentially and symmetrically presented.
For two magnetic contours of a magnetic or a magneto dielectric, bounded inductively through curl electric field, phenomenon of magnetic mutual induction is quantitatively defining by new notion of "magnetic mutual inductivity" (MM) , measuring in the "farad" (F):

MM = kM (LM1 LM2)^1/2

where
MM -- - magnetic mutual inductivity, F;
kM -- -- coefficient of electric bound of two magnetic contours;
LM1, LM2 - full magnetic inductivity of the corresponding contours 1 and 2, F.

Magnetic mutual inductivity of the contours depends from sizes and form of contours, the number of turns of each and theirs mutual placing in space and also from dielectric (electric) properties of intermediate medium on way of basic electric induction flux (or closed electric current of mutual induction). Electric flux linkage of one of contours may be changing ether in consequence of a change of magnetic current in other contours, or owing to a change of theirs magnetic mutual inductivity.
In the case of intermediate medium with energy loss the magnetic mutual inductivity is the complex value (for harmonic regimes) or the operator value (for changing regimes).

In stationary systems of magnetic contours (with any its number) the magnetic mutual induction is caused by change of the electric flux linkage of the one of contours in consequence of a change of magnetic currents in the other contours or parametrically, owing to a change of its magnetic mutual inductivities.
Any magnetic transformer is the example of such stationary system of magnetic mutual induction.
Inasmuch as the phenomenon of magnetic mutual induction is in adequacy to the principle of "magnetic transformation", then the magnetic transformer with dielectric core (or a dielectric intermediate medium) is the direct physical analog of electric transformer with magnetic core (or a magnetic intermediate medium) and is feasible on the very high frequencies (30 - 300 MHz and above). In the case of the electric conductive or semiconductor intermediate medium the magnetic transformer makes in the design on the more low work frequencies of the radio engineering band, involving the power frequencies. In the capacity of the magnetic transformer with the conductive contour of mutual induction may be classifying the quite a number of the inductive transducers, for example, -- for a measuring of the electric conduction of the liquids (the conductivity of the electrolytes, the conductivity and the salinity of the sea water), in this number, for the measuring (without an electric contact) of the conductivity of the aggressive liquids directly in the pipelines, and for the other purposes.

In movable systems of magnetic contours the magnetic mutual induction is caused by change of the electric flux linkage of the contours in consequence of a change of its magnetic mutual inductivity (in result of a change of theirs mutual placing in the space and also redistribution of the scattering flux on the way of the basic electric induction flux).
Such principle of initiation of magnetic mutual induction may be using, in particualy, in the transducers of vibration or motion, in the induction transducers of angle rotation, etc.

In principle the phenomenon of magnetic mutual induction may be used for distant inductive coupling through electric curl field (in particular, for transfer of a signal through the wall).
In this case, as contrast to the phenomenon of "electric mutual induction" (M. Faraday, 1831) when the inductive signalling through magnetic curl field is effected on the distance up to 5 km and more, the inductive coupling through electric curl field is on the comparatively small distance (only up to the few millimetres or centimetres in various conditions and media).
As is known, in distinct from phenomenon of "electric mutual induction" (M. Faraday, 1831) with one type of intermediate medium (a magnetic medium in absence of magnetic conductivity), phenomenon of "magnetic mutual induction" (A. M. Sidorovich, 1980) is bounding with two types of intermediate medium (dielectric and electric conduct media) simultaneously and in single or in composite variation with energy loss (dielectric loss and conductive loss) or in absence its, for example, in the vacuum or air ("air magnetic transformer").

[1] Sidorovich A. M., To binary-inversion interpretation of Maxwell's equations and the induction phenomena // News of Acad. Sci. BSSR. Ser. phys.-mat. sci., 1980, No 3, p. 126 (In Russian).
[2] Sidorovich A. M. Electromagnetic Induction (New Conception) -- Electromagnetic Fields in Electrical Engineering: Proc.Int. Symp., Pavia (Italy), 23-25 Sept.1987 -- Pavia, 1987, p. 25-27.