Hello. I'm trying to understand why, in terms of Maxwell's Equations, the ratio of the number of turns in a transformer converts an input voltage to an output voltage. EE explanations only seem to go as deep as this article: http://en.wikipedia.org/wiki/Transformer#Basic_principles They state that the ratio of the input voltage to output voltage is determined by the number of turns in the primary and secondary coil. But why? What's actually happening to various field lines to change voltages?