Inductances of Printed Circuit Windings

A substantial number of situations exist in modern technology where windings are an etched copper laminate. These windings are characterized by a rectangular cross section and are in a smooth air gap bounded by materials which may have widely different relative permeabilities. In this analysis Rogowski's method of air gap analysis has been combined with the winding function concept proposed by Robinson and utilized extensively by Schmitz and Novotny. General formulae for air gap fields and winding inductances are presented.