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An algorithm is presented for the determination of temperature at any time and at any interior point of a plane metallic body, given the surface heat flux. Alternatively, given the temperature at a specific point and time in a plane semi-infinite metallic body, with little or no assumed surface heat loss, the surface heat flux can be determined. The technique can be used to estimate open-circuit tooth ripple eddy-current losses in a smooth section of the laminated poles of synchronous machines. It is readily implemented on a programmable calculator.