Electricity & Magnetism

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Electromagnetism:

Coulomb's Law

http://en.wikipedia.org/wiki/Coulomb%27s_law

Lorentz Force Law

http://en.wikipedia.org/wiki/Lorentz_force

Maxwell's Equations

http://en.wikipedia.org/wiki/Maxwell%27s_equations

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:

Ampere's Law

http://en.wikipedia.org/wiki/Amp%C3%A8re%27s_circuital_law

Faraday's Law

http://en.wikipedia.org/wiki/Faraday%27s_law_of_induction

Gauss's Law

http://en.wikipedia.org/wiki/Gauss%27s_law_for_magnetism

No Name Law

http://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.

Jefimenko's Equations

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 Force

Understanding this is crucial for producing electrical power cells
http://en.wikipedia.org/wiki/Electromotive_force

Conservation Laws and Consequences of E&M

Line Integral Theorems

Biot Savart Law

http://en.wikipedia.org/wiki/Biot%E2%80%93Savart_law

Stokes Theorem

http://en.wikipedia.org/wiki/Stokes%27_theorem

Lenz's Law

http://en.wikipedia.org/wiki/Lenz%27s_law

How to get light from electromagnetism

Deriving the Wave Equation for Light: