A Y$-$connected brushless de motor is operating in steady state. The drive controls the voltage so that maximum efficiency is achieved. The electromagnetic torque is $3$ N m$.$ The back$-$emf is $25$ V$,$ peak, line$-$to$-$neutral. Other machine parameters are: P $=4,$ rs $=10$ mS$,$ Lq $=$ La $=10$ mH$,$ and X$,=0\mathrm{.}1$ V s$.($a$)$ Calculate the shaft revolutions perminute.$($b$)$ Calculate the output power.$($c$)$ Express Ias $($t$)$ with numerical values for the amplitude, frequency, and phase.$($d$)$ Calculate Vas and Vis$($e$)$ The motor is driven by a six$-$step modulated converter with duty cycle $80\%.$ What is the dc$-$link voltage?