James Maxwell 'discovered EMR ' by unifying the law of electricity and magnetism. This summarises his work without delving too deep into the mathematics.

SEE A LESSON ON MAXWELL - physicshigh.com/light_emr.html

Some good reference if you want to explore the maths further
- brilliant.org/wiki/maxwells-equations/
- newt.phys.unsw.edu.au/einsteinlight/jw/module3_Maxwell.htm
and of course from Feynman himself
- feynmanlectures.caltech.edu/II_18.html

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