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when in doubt, use the energy principle. The current direction must
be in the direction that doesn't violate conservation of energy. i.e.
so one doesn't have a perpetual motion machine, i.e. so one does work
on the system. I'm assuming your example is pushing (or pulling) a
magnet into a coil, or passing a magnet past a conductor producing an
eddy current. Same principle applies in the case of a transformer
where the coils are fixed.