$($a$)$ In a $2-$pole, three$-$phase PMAC drive, the torque constant kT and the voltage constant kE are

$0\mathrm{.}5$ in MKS units. The synchronous inductance is $15$ mH $($neglect the winding resistance$).$ This

motor is supplying a torque of $3$ Nm at a speed of $3,000$ rpm in a balanced sinusoidal steady state.

$($b$)$ From Part $($a$),$ if the PMAC drive is operating as a generator, and instead of it supplying a

torque of $37$ Nm$,$ it is being supplied this torque from the mechanical system connected to the

machine$-$shaft