Additions and Corrections to ELECTRICITY and MAGNETISM by Oleg D. Jefimenko Page 96, Fig. Add d<
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Jefimenko, Solutions of Maxwell’s equations for electric and magnetic fields in arbitrary mediaAmerican Journal of Physics 60 10— These equations are the time-dependent generalization of Coulomb’s law and the Biot—Savart law to electrodynamicswhich were originally true only for magnteism and magnetostatic fields, and steady currents.
There are similar expressions for D and H. Therefore, we must conclude that an electromagnetic field is a dual entity always having magnehism electric and a magnetic component simultaneously created by their common sources: 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.
Retrieved from ” https: The electric field is written in a slightly different – but completely equivalent – form. In electromagnetismJefimenko’s equations named after Oleg D.
Full text of “Electricity and Magnetism”
In other words, the left 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. This page was last edited on 16 Marchat Charge density and current density are creating them both. From Wikipedia, the free encyclopedia.
As pointed out by McDonald,  Jefimenko’s equations seem to appear first in in the second edition of Panofsky and Phillips’s classic textbook. JefimenkoCausality Electromagnetic Induction and Gravitation2nd ed.: Views Read Edit View history.
Therefore they can be used for moving charges and currents. Essential features of these equations are easily observed which is that the right hand sides involve “retarded” time elecricity reflects the “causality” of the expressions.
Electricity and Magnetism by Jefimenko, Oleg D
In the typical expressions for Maxwell’s equations there is no doubt that both sides are equal to each other, but as Jefimenko notes, ” GriffithsMark A. Electircity, Jefimenko’s equations show an alternative point of view.
McDonald, The relation between expressions for time-dependent electromagnetic fields given by Jefimenko and by Panofsky and PhillipsAmerican Journal of Physics 65 11 Covariant formulation Electromagnetic tensor stress—energy tensor Four-current Electromagnetic four-potential.
Hence, it is impossible for E jeffimenko B fields to be “creating” each other.
They are the general solutions to Maxwell’s equations for any arbitrary distribution of charges and currents. 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.
Electromagnetic tensor stress—energy tensor.