The equivalent circuit parameter of a three$-$phase $25$ kW $,$ six$-$pole, $60$Hz$,420$V star$-$connected induction

machine has impedance data R$\_(1)=0\mathrm{.}2\backslash$Omega $,$R$\_(2)^(\text{'})=1\mathrm{.}2\backslash$Omega $,$x$\_(1)=1\mathrm{.}3\backslash$Omega $,$x$\_(2)^(\text{'})=2\mathrm{.}0\backslash$Omega $,$x$\_($m$)=110\backslash$Omega and R$\_($c$)=90\backslash$Omega $.$ The

machine is operated as a motor rotating at $1090$ RPM under full load conditions.

i$.$ Draw the equivalent circuit with all impedance, current and voltage information clearly noted.

ii$.$ Calculate the slip.

iii. Calculate the stator current.

iv$.$ Calculate the rotor current.

v$.$ Calculate the motor efficiency.