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I've been reading up on electric charges that oscillate in space, creating radio waves and the like, and it's got me wondering.

If an otherwise stationary spherical electric charge oscillated in time, transitioning back and forth between $q = 0$ and $q = -x$ (where $x$ is some arbitrary value), what would be the shape of the resulting magnetic field?

Mauricio
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Maxwell's equation require charge conservation if they are to be internally consistent. Your charge is not conserved, so there is no possible solution to your problem.

mike stone
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