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Szczepan Bialek wrote:
MODERN texts use the Biot-Savart law.
You babbling, ignorant, stupid, ineducable, idiot, Biot-Savart applies
to magnetostatics, which has NOTHING to do with how antennas work.
Jefimenko's equations are the basis of modern electromagnetic field
analysis.
Jefimenko's equations first appeared in print in 1962.
"Jackson characterizes the equations as "Jefimenko's generalization of the
Coulomb and Biot-Savart Laws".
Heaviside and Jefimenko assumed that: "That a moving charge is equivalent to
an electric current-element is undoubted, and to call it a
convection-current. as Prof. S. P. Thompson does, seems reasonable." From:
https://en.wikisource.org/wiki/Elect..._moving_charge
It is not reasonable. In current are many charges (electrons). No
experimental evidences what the magnetic field is in the case of the one
charge.
The reasonable aproach is the Faraday's:
" Whatever the view adopted respecting them may be, we can, at all events,
affect these lines of force in a manner which may be conceived as partaking
of the nature of a shake or lateral vibration. For suppose two bodies, A B,
distant from each other and under mutual action, and therefore connected by
lines of force, and let us fix our attention upon one resultant of force,
having an invariable direction as regards space; if one of the bodies move
in the least degree right or left, or if its power be shifted for a moment
within the mass (neither of these cases being difficult to realise if A and
B be either electric or magnetic bodies), then an effect equivalent to a
lateral disturbance will take place in the resultant upon which we are
fixing our attention; for, either it will increase in force whilst the
neighboring results are diminishing, or it will fall in force as they are
increasing."
Here the oscillating charge causes the lateral disturbances.
In Biot-Savart are the rotational disturbances.
S*