Video 1.
Understanding Electromagnetic Radiation! by Learn Engineering (2019)
. Source. Shows animations of a dipole antenna which illustrates well how radiation is emitted from moving charges and travels at the speed of light.
In the standard formulation of Maxwell's equations, the electric current is a convient but magic input.
Would it be possible to use Maxwell's equations to solve a system of pointlike particles such as electrons instead?
The following suggest no, or only for certain subcases less general than Maxwell's equations:This is the type of thing where the probability aspect of quantum mechanics seems it could "help".

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