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An analytical armature reaction magnetic field calculation is proposed for slotless brushless machines with inset permanent magnets (PMs). The rotor/stator back-irons are assumed to have infinite permeability and therefore the analytical solutions are obtained for the winding, air-gap, and magnets regions. The analytical expressions can be used for the brushless slotless surface-inset PM machines with any armature current waveform and any number of phases. The effects of the iron inter-poles on the armature reaction field have been studied. To verify the model, the analytical results have been compared with those obtained from finite-element analyses (FEA).