A $\backslash (208\backslash$mathrm$\{$~V$\},60\backslash$mathrm$\{$~Hz$\}\backslash ),$ six pole Y $-$connected $25$ hp class B induction motor is tested in the laboratory, with the following results:

No$-$load: $208$V$,22\mathrm{.}0$A$,1200$W$,60$Hz

Locker Rotor: $24\mathrm{.}6$V$,64\mathrm{.}5$A$,2200$W$,15$Hz

DC test: $\backslash (13\mathrm{.}5\backslash$mathrm$\{$~V$\},64\mathrm{.}0\backslash$mathrm$\{$~A$\}\backslash )$

iii$)$ Sketch the per$-$phase equivalent circuit of this motor

iv$)$ Find the slip at pull$-$out torque, and the value of the pull$-$out torque