In this paper a closed-form solution of the phase current of a three-phase, voltage-source inverter (VSI) fed induction motor (IM) is presented. Instead of using numerical solution methods, explicit analytical expressions of the steady-state current of the motor are derived. To validate the approach presented in this paper the results obtained are compared with previously published numerical results dealing with static R-L loads; considering the induction motor as equivalent to a R-L load, and the two sets of results are found to be almost identical.