The first approximation is based on a modification of an expression developed by Wheeler; the second is derived from electromagnetic principles by approximating the sides of the spirals as current-sheets; and the third is a monomial expression derived from fitting to a large database of inductors (and the exact inductance values). All three expressions are accurate, with typical errors of 2 - 3%, and very simple, and are therefore excellent candidates for use in design and synthesis.The thickness of the inductor has only a very small effect on inductance and will therefore be ignored.
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