Both relate the magnetic field and the current, and both express the same
physical consequences of a steady electrical current Ampere’s law is to
Biot-Savart law, what Gauss’s law is to Coulomb’s law Both, Ampere’s
and Gauss’s law relate a physical quantity on the periphery or boundary
(magnetic or electric field) to another physical quantity, namely, the source,
in the interior (current or charge) We also note that Ampere’s circuital
law holds for steady currents which do not fluctuate with time