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I am studying mutual inductance (or self-inductance), and some clear answer is ignored, not asked or answered in any source i am looking for.

If current is changing then equations of static electromagnetism (like ampere's law) shouldn't be true anymore. It takes time for waves to propagate. We are no longer dealing with with a static situation.

I would like to follow a fully logical path while studying. Is there any sources that study this subject by fully considering all aspects of non static electromagnetism?

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    $\begingroup$ I think your question is based on a misunderstanding. Ampere’s law is not static. All of Maxwell’s equations are valid in electrodynamic scenarios $\endgroup$
    – Dale
    Commented Mar 12, 2021 at 12:07
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    $\begingroup$ Virtually every electromagnetism textbook handles electrodynamics. They just start with electrostatics for simplicity. Flip a couple chapters later in your book, to the one that uses the full Ampere’s and Faraday’s laws (including the derivatives). $\endgroup$
    – Gilbert
    Commented Mar 12, 2021 at 12:28
  • $\begingroup$ @Dale so your saying if current in a wire 100km away from you but stationary to you changes, then the magnetic field near you instantly changes? $\endgroup$
    – TheNegative
    Commented Mar 12, 2021 at 12:32
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    $\begingroup$ Nowhere did I say that. Please don’t misquote me or put words in my mouth. You appear to misunderstand Ampere’s law if you believe that what I did say implies what you said $\endgroup$
    – Dale
    Commented Mar 12, 2021 at 12:37
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    $\begingroup$ @TheNegative then you haven't looked at any electrodynamics textbook at great length, even the undergrad level Griffiths approaches the finite speed of light and electrodynamics using maxwell's equations. He even derives the Liénard–Wiechert potentials en.m.wikipedia.org/wiki/Li%C3%A9nard%E2%80%93Wiechert_potential $\endgroup$
    – Triatticus
    Commented Mar 12, 2021 at 13:20

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