Additions and Corrections to ELECTRICITY and MAGNETISM by Oleg D. Jefimenko Page 96, Fig. Add d<
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In the typical expressions for Maxwell’s equations there is no doubt that both sides are equal to each other, but as Jefimenko notes, ” Retrieved from ” https: McDonald, The relation between expressions for time-dependent electromagnetic fields given by Jefimenko and by Panofsky and PhillipsAmerican Journal of Physics 65 11 These equations are magnteism time-dependent generalization of Coulomb’s law and the Biot—Savart law to electrodynamicswhich were originally true only for electrostatic and magnetostatic fields, and steady currents.
In electromagnetismJefimenko’s equations named after Oleg D. Jefimenko, Solutions of Maxwell’s equations for electric and magnetic fields in arbitrary mediaAmerican Journal of Physics 60 10— Covariant formulation Electromagnetic tensor stress—energy tensor Four-current Electromagnetic four-potential.
Electricity and Magnetism
Essential features of these equations are easily observed which is that the right hand sides involve “retarded” time which reflects the “causality” of the expressions. Jefimenko give the electric field and magnetic field due to a distribution of electric charges and electric current in space, that takes into account the propagation delay retarded time of the fields due to the finite speed of light and relativistic effects.
GriffithsMark A. They are the general solutions to Maxwell’s equations for any arbitrary distribution of charges and currents. There are similar expressions for D and H.
Full text of “Electricity and Magnetism”
There is a widespread interpretation of Maxwell’s equations indicating that spatially varying electric and magnetic fields can cause each other to change in time, thus giving rise to a propagating electromagnetic wave  electromagnetism.
However, Jefimenko’s equations show an alternative point of view. Electromagnetic tensor stress—energy tensor. JefimenkoElectricity and Magnetism: Therefore, we must conclude that an electromagnetic field is a dual entity always having an electric and a magnetic component simultaneously created by their common sources: Hence, it is impossible for E jefimenlo B fields to be “creating” each other.
Views Read Edit View history. From Wikipedia, the free encyclopedia. This page was last edited on 16 Marchat Charge density and current density are creating them both.
As pointed out by McDonald,  Jefimenko’s equations seem to appear first in in the second edition of Panofsky and Phillips’s classic textbook. Therefore they can be used for moving charges and currents. In other words, the electricigy side of each equation is actually “caused” by the right side, unlike the normal differential expressions for Maxwell’s equations where both sides take place simultaneously.
JefimenkoCausality Electromagnetic Induction and Gravitation2nd ed.: Part of a series of articles about Electromagnetism Electricity Magnetism Electrostatics.