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When I asked my original question, I thought that there WAS a
contradiction about the direction of the electric fields and so I
wondered if there was no such thing as a uniformly increasing
magnetic field. Now I see that there is no contradiction about the
field direction.
But I still have issues with the term "uniformly
increasing uniform field".
Suppose we are located in a uniform electric field. That means that
the experiments we perform to investigate that field should come out
the same when we repeat them, translated a little to the left or
right.
But in a "uniformly increasing uniform magnetic field", that is not
the case? There is always a "center" to such a field? And by
performing repeated experiments with test charges, you can find the
center of that field. So uniform in this setting does not mean what
I thought it did...
There is always a "center" to such a field?