Magnetic Flux Conversion
The flux through an element of area perpendicular to the direction of magnetic field is given by the product of the magnetic field and the area element. More generally, magnetic flux is defined by a scalar product of the magnetic field and the area element vector.
The direction of the magnetic field vector B is by definition from the south to the north pole of a magnet (within the magnet). Outside of the magnet, the field lines will go from north to south.
The magnetic flux through a surface is proportional to the number of magnetic field lines that pass through the surface. This is the net number, i.e. the number passing through in one direction, minus the number passing through in the other direction. - Wikipedia
Standard unit = Weber (Wb)