Abstmct -Muthemprico 5.0 s o h a r e ' is used to develop a lintprinciples analysis of an induction machine rcprestoted by a planar laytred structure subject to a sinusoidal current sheet excitation. A brief review is also given of Mahemtica's application to problems in both power electronic end electric machine systems.The program presented is capable of calculating the timeharmonic steady-stnte magnetic field, current density, ohmic low, and torque-speed curve for an nlayered structure. When it i s used to optimize both two-and thne-layer rotor structures, the program shows that the smaller the air gap, the better the performance of the design.