What is magnetic flux?
Magnetic flux is simply a quantity of magnetic field
passing through a certain area. Flux is what is conserved,
if the field has to pass through constrictions of some
sort, then the field gets stronger in the constrictions,
but the flux stays the same. That is what the "flux line"
symbols are supposed to mean too - indicating that
the flux starts at one pole and ends at another and
cannot disappear in the middle somewhere.
Another way of thinking about it is that a magnetic field
is actually a magnetic flux passing through a certain area
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Update: June 2012