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I am curious about the following case:
Consider the electrical field in a particular point just changed for some reason. Then by the maxwell's equations, there will be magnetic field generated circularly around the plane of change (which I should be symmetrical, I assume).
However this newly generated magnetic field will cause the points around the orign of change to have varying magnetic field, then they will also produce electrical field by the maxwells laws.
And this recursive loop seems to continue until infinity in a converging manner. I was wondering does it ever come to steady state, do those generated series of electrical and magnetic fields converge into a function as in taylor series? Or do maxwells equation already takes that into account and just states the resulting field distribution considering this recursive loop?
I really hope I expressed it well enough, please let me know if you need some clarification.