A $3-$phase, $100$kW$,460$V$,60$Hz$,$ Y$-$connected, $8-$pole induction machine has the

following equivalent circuit parameters: R$\_(1)=0\mathrm{.}07\backslash$Omega $,$x$\_(1)=0\mathrm{.}2\backslash$Omega $,$R$\_(2)=0\mathrm{.}05\backslash$Omega $,$x$\_(2)=$

$0\mathrm{.}2\backslash$Omega $,$x$\_($m$)=6\mathrm{.}5\backslash$Omega $.$

aR$\_($Fc$).$

b$460$V$,60$Hz supply, determine the

starting torque, the maximum torque the machine can develop, and the speed at

which the maximum torque is developed.

c