Applied Physics and Mathematics Annotation << Back RELATIVISTIC MAGNETIC FIELD OF MOVING UNCHARGED BODY S.A. GERASIMOV In the system of references relative which a conductor moves, the summarized velocity of two electrons of the conductor the velocities of which relative to conductor are equal and opposite is not equal zero. This can be reason of appearance of the magnetic field. The known estimations predict very high magnitude of the magnetic field inductance for such a distribution function of electron velocities. A role of the form of the speed distribution function is not studied. Detailed considerations taking account all the particularities of the relativistic transformations of velocities for rectangular motion of the semi-infi nite conductor enable to solve the problem in quadratures. For arbitrary distribution function of electrons, the inductance of such a magnetic field is proportional to the mean square speed of electrons in a conductor and does not satisfy the Ampere’s theorem for the magnetic fi eld. In order to satisfy this theorem, the electric field created by moving electric charged should be taken into account. Experimental attempts to study this effect demonstrate essentially very small values of the magnetic field inductance. Therefore the calculation of the time dependence of the magnetic fi eld inductance for the harmonically moving semi-infi nite conductor is topical. The signal form is close to the sinusoidal one, that enables to register the value of order 10-7 T using methods intended for studying weak periodical signals. Keywords: neutral conductor, Lorentz transformations, distribution function of electron speeds, mean square speed of electrons, signal form. Contacts: E-mail: gsim1953@mail.ru Pp. 11-16.