We present two eddy-current field potential formulations to solve rotating electrical machine problems by applying the finite-element method (FEM) using the motional ${\mbi A}^{*}{-}{\mbi A}$-potential formulation and the motional ${\mbi T}, {\bf \Phi}{-}{\bf \Phi}$-potential formulation. We use the single-phase and three-phase solid-rotor induction motors of Problem No. 30a of TEAM Workshops to compare the potential formulations. We have solved both problems in the time domain and the frequency domain. © 2009 IEEE.