1/4 We currently expect any complete physical theory to be relativistically invariant, so I wouldn't say deriving Maxwell's equations from Coulomb's Law and Special Relativity is groundbreaking (but cool yes).
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Remember that Special Relativity grew out of classical electromagnetic theory and experiments inspired by it. Maxwell’s field equations, developed long before the work of Lorentz and Einstein, proved to be entirely compatible with relativity. In fact, Einstein's 1905 paper was...
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not really a derivation, but Veritasium video gives some intuitive argumenthttps://youtu.be/1TKSfAkWWN0
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Signal processing math is "unreasonably effective" in several domains (music, harmonics, mechanics). Electrical Engineering should be called Signal Engineering.
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It’s also one the hardest undergrad courses around. You need to take so many lessons almost on faith until it clicks into place in your mind.
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Principles of Electrodynamics by Melvin Schwartz has the clearest derivation
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Classic text, although if you learn EM from it you will probably fail the exam (he uses a completely different system of units)
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1. Here's the best explanation I have seen -- Feynman's Lecture Vol II Chap 13: http://www.feynmanlectures.caltech.edu/II_13.html section 13.6 "The relativity of magnetic and electric fields"
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2. If we had chosen still another coordinate system, we would have found a different mixture of E and B fields. Electric and magnetic forces are part of one physical phenomenon—the electromagnetic interactions of particles.
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Lubos has a quick answer here: https://physics.stackexchange.com/a/3620 His answer is basically "proof by tensors" so requires some familiarity with tensors to make sense of Having said that, I agree with
@sean_a_mcclure that this is running history in reverse.Thanks. Twitter will use this to make your timeline better. UndoUndo
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is relativistic side effect of 