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## PowerPedia:Longitudinal Wave in the Body of Permanent Magnet

Lasted edited by Andrew Munsey, updated on June 15, 2016 at 1:43 am.

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#### Intraction standing wave and permanent magnet

In magnet motor a standing There was an error working with the wiki: Code[1] emerging along magnetization axis of a moving permanent magnet. It penetrates the body of moving permanent magnet. Below we shall deal with the process of energy exchange between this wave and the magnet [1,2].

If in the magnet body there appears a longitudinal standing wave (where in every point the magnetic field intensity is directed along the magnet axis), then on the magnet axis in different points of the axis the intensity H will be different. In result there appears the intensity gradient directed along the axis. As it is known, a force is acting on magnetic dipole in magnetic field, and this force is proportional this the above mentioned gradient and is directed towards the increase of intensity's absolute value. The domens in the body of permanent magnet are dipoles, and hence, if there exists a longitudinal standing wave of magnetic field intensities, the forces directed along the magnet axis are acting on them.

It is proved experimentally, that the domens, under the effect of magnetic field intensity, may change their volume and move along the magnet (this movement is not a mechanical movement of the atoms, but is a change of magnetic state in certain parts of the magnet's body, similar to the change of elastic state in certain areas of crystallic lattice). Thus, the appearance of standing longitudinal wave in the body of permanent magnetic magnet causes an irregular distribution of domens along the magnet axis, i.e. their concentration is a certain function of the coordinate measured along this axis.

#### Energy Conversion Power

In [1,2] shows, that the magnetic energy of the permanent magnet increases for non-uniform distribution of domens along the domen's length. Consequently, the standing wave brings to permanent magnet the energy. Evidently, the this energy changes periodically in time from zero to a certain maximum. This energy transfers into magnetic energy of a permanent magnet, which then transfers into kinetic energy of this magnet motion. Power of wave's energy conversion into magnet's magnetic energy

: P=2 \cdot 10^6 f R^4 B^2\,\!,

where

: f - frequency of wave ,

: B - induction of permanent magnet,

: R - radius of permanent magnet.

Recommended length of the magnet

: L=4 R\,\!.

Thus specific by magnet's volume power

: p=\frac{P}{\pi L R^2}.

#### Example

For B=1[T], R=0.01[m], f=1000[Hz]\,\! we have:

full power P=20[W]\,\!,

specific (by magnet's volume) power p=2 \left [ {W \over sm^3} \right ] \,\!

#### References

:1. Khmelnik S.I., Khmelnik M.I. Longitudinal wave in the body of moving permanent magnet. "Papers of Independent Authors", publ. «DNA», printed in USA, Lulu Inc., ID 6334835, Israel-Russia, 2009, iss. 11, ISBN 978-0-557-05831-0 (in Russian), http://dna.izdatelstwo.com/volum/6334835.pdf

:2. Khmelnik S.I. Energy processes in free-full electromagnetic generators. Publisher by “MiC”, Israel, 2011, second edition, ISBN 978-1-257-08919-2, USA, Lulu Inc., ID 10292524

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