Maxwell's equations form the basis of electromagnetic theory, allowing the properties of light to be derived. Maxwell's eqiuations are the following:
Gauss's (Coulomb's Law for the Electric Field)
Coulomb's Law gives the force between two point charges
and
a distance r apart:
This may be extended to find the force between a point charge and a distribution of charges:
Gauss's Law for the Magnetic Field
A current
or a current density
creates a magnetic field