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Ioan Zaharie

Publications and source records attributed to Ioan Zaharie.

2 recordsLinked to original sources

Why two formulas for the electric field intensity and the magnetic induction created by a uniformly moving point charge?

A derivation of the electric field intensity and of the magnetic induction generated by a uniformly moving point charge is presented. The derivation is in accordance with the fact that the electric and magnetic fields of moving charge are propagating from the charge with speed $c$ in empty space. The derivation is tailored for a special audience who knows the transformation of space, time and fields and Coulomb's law in the rest frame of the point charge. It avoids the use of Maxwell's equations and the concept of retarded potential.

physics.gen-ph↗

With the relativistic velocity addition law through special relativity

It is shown that if we can define a physical quantity with proper character in a given inertial reference frame (kinematic, dynamic, electromagnetic in its nature) which transforms when detected from a reference frame relative to which it moves with velocity $u_x$ as $F=\f{F^o}{\sqrt{1-\f{u_x^2}{c^2}}}$ then we can derive for it transformation equations following one and the same procedure, which involves the addition law of relativistic velocities which can be derived without using the Lorentz transformations. The transformation equation derived that way, generates the physical quantities $u_xF$ and $u_x'F'$, for which physicists invent names reflecting theirs physical meaning.

physics.gen-ph↗