Magnetic Field and Currents
Empirically, we know that moving charges produce a magnetic field. We also
know that the field B is perpendicular to the direction of current flow and
the vector connecting the current source and the location at which we want
to know the field. We also know that the field falls off like 1/r2.  These
lead to the Biot-Savart Law, the magnetic equivalent of Coulomb’s Law.