Applied Physics and Mathematics Annotation << Back ELECTROKINEMATICS OF A CHARGED SPHERE AND A TRUE RELATIVISTIC PARADOX V.A. LEUS An electro-magnetic field appearing in a laboratory due to moving charges has unusual properties. In particular, such a field of kinematical origin does not obey the wave equation with a non-relativistic velocity instead of light speed; so, its movement resembles that of a rigid body. In this section the field of a uniformly charged sphere moving at a constant speed is considered. Relativistic axiom, implicitly used in the derivation of formulas describing a kinematic deformation for the proper spherical field from the point of view of a fixed observer, is revealed. A discrepancy was found between the generally accepted idea of the configuration of a deformed field and its real geometry. It is shown that the correct interpretation of known formulas leads to a logical contradiction, which cannot be eliminated within the framework of the theory of relativity. Thus, the declared harmony of the theory of relativity and classical electrodynamics is in doubt. A scheme of a decisive experiment is proposed. Keywords: Electro-kinematics, charged sphere, uniform motion, deformed field, implicit axiom, relativistic contradiction. DOI: 10.25791/pfim.04.2022.1236 Pp. 17-28.