A $3-$phase, $460$V $($line$-$to$-$line$),60$Hz$,1760$rpm induction motor has the following equivalent circuit parameters: R $1=0\mathrm{.}25$ X $1\mathrm{.}21$ R $\text{'}\text{'}====20\mathrm{.}2$ X $21\mathrm{.}1$ X m $35$ Determine: a$)$ The number of poles of the machine b$)$ The starting current when started directly at full input voltage c$)$ The stator current at the full load condition d$)$ The ratio of starting current to full load stator current e$)$ The air gap power f$)$ The developed mechanical power and the developed torque