In physics,
Ampere's law is the magnetic equivalent of Gauss's law. It was discovered by Andre Marie Ampere
It describes the relation between a circulating
magnetic field in a closed loop and the generated
electric current:
- <math>\oint_S \mathbf{B} \cdot d\mathbf{s} = \mu_0 I </math>
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
- <math>\oint_S</math> 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.