Consider the following statement:

""The magnetic field of a magnet comes out of the north pole and goes into the south pole""

Based on what you know the divergence and curl of the magnetic and auxiliary fields why is this statement imprecise? Explain as fully as you can."

The statement "The magnetic field of a magnet comes out of the north pole and goes into the south pole" is imprecise

Explanation:

This is because the zero divergence equation (∇ · B = 0) is valid for any magnetic field, even if it is time dependent rather than static. Physically, it means that there are no magnetic charges otherwise we would have ∇ · B ∝ ρmag instead of ∇ · B = 0. Consequently, the magnetic field lines never begin or end anywhere in space; instead they form closed loops or run from infinity to infinity.