210608-2430 EDT
Assume sine wave excitation. If you consider a 2 phase motor, then one phase is shifted 90 deg from the other. The force vector moving the rotor is the product of the instantaneous voltage and current, or for convenience use either v or i squared. What is the hypotenuse of a right triangle? It is the square root of the sum of the two sides each squared. Thus, the rotational force vector is a constant independent of the angular position of the rotor. Therefore, instantaneous torque is a constant, like a good brushed commutator DC motor.
Same is true for a three phase motor. While a single phase motor has torque pulses.
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