The Lenz's law equation is the same as the faraday equation but Lenz found a way to predict the direction of the induced electromotive force and current from electromagnetic induction. http://en.wikipedia.org/wiki/Lenz_law
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Equation
They are experimentally determined exponents
SinA/a = SinB/b = SinC/c
It is called a scientific law
Maxwell's equations contain two scalar equations and two vector equations. Gauss' law and Gauss' law for magnetism are the scalar equations. The Maxwell-Faraday equation and Ampere's circuital law are the vector equations.