Wolfram Demonstrations Project: "Magnetic Flux through a Wire Loop"

This demonstration illustrates the relationship between magnetic flux and size and orientation of the surface through which the magnetic field is passing. Note that the relationship is particularly easy to observe when constant magnetic fields parallel to the field lines can be seen. Here, a constant flux is simply a constant number of field lines penetrating the wire loop. Although the relationship is more difficult to observe when variable magnetic fields are used in the demonstration, the relationship is still the same: magnetic flux is the number of field lines penetrating the wire loop. Pick a value for the radius of the loop and calculate the magnetic flux through the loop in the two cases when the field is uniform: (0,0, 1) and (1, 1, 1), Do your results agree with the demonstration?