Ampere's law

In physics, Ampère's law is the magnetic equivalent of Gauss's law. It was discovered by André-Marie Ampère It describes the relation between a circulating magnetic field in a closed loop and the generated electric current:

where

B is the magnetic flux

s is an infinitesimal element of the closed loop S

I is the current encircled by the curve S

μ₀ is the permeability of free space

is the path integral along the loop S

This law, as the others laws of electromagnetism was later incorperated into Maxwell's equations, unifying all of electromagnetism.