Electricity & Magnetismhttp://hyperphysics.phy-astr.gsu.edu/
Lorentz Force Lawhttp://en.wikipedia.org/wiki/Lorentz_force
Every aspect of the electromagnetic field can be explained using Maxwell's Equations for light.
Each of Maxwell's equations has it's own name and history:
No Name Lawhttp://en.wikipedia.org/wiki/Displacement_current
Togther with the Continuity Equation these 5 equations successfully describe every experimentally observed phenomenon associated with electromagnetism.
A physics professor named Oleg D. Jefimenko is the only person in history to discover problems with (and make corrections to) this theory.
By accounting for relativity in Maxwell's Equations, Jeffimenko was able to factor in the delayed or "retarded" time that it takes for electromagnetic fields to travel through freespace and cause interactions. Since Maxwell's Equations are easier to use with Potentials, rather than trying to solve for complex integrals, the regular potentials become "retarded potentials" because they are time delayed and by accounting for this tweak of physics in the math it we get right answers.
Jefimenko first published these equations in his text book on Electricity & Magnetism. They henceforth became known as "Jefimenko's Equations" since no one could find any earlier discovery or publication besides his.
Electro Motive ForceUnderstanding this is crucial for producing electrical power cells
Conservation Laws and Consequences of E&M
Line Integral Theorems
Biot Savart Lawhttp://en.wikipedia.org/wiki/Biot%E2%80%93Savart_law
How to get light from electromagnetism
Deriving the Wave Equation for Light: