This paper deals with the presentation of a new formulation to solve combined magnetic and electric problems including the motional electromotive force in a rotating electric machine. In this analysis, the boundary element method and finite element method are applied to the brushless synchronous generator. This method takes the effect of the relative motion between the field winding and the armature winding into account, this technique is used in order to analyze the motion induced current in the armature windings. We use this method to predict the dynamic behavior of electric machines that is gaining in popularity because of the availability of high performance microcomputers and the development of new features, such as the integration of the rotor’s motion and the machine’s supply circuitry in the finite element solution.