A $208$ V four$-$pole, $60Hz,Y-$connected wound rotor induction motor is rated at $30$ hp $.$ Its equivalent circuit components are:

$R_1=0\mathrm{.}100R_2=0\mathrm{.}070$

$x_1=0\mathrm{.}210x_2=0\mathrm{.}210$

$P_{\text{m}\text{e}\text{c}\text{h}}=500W{P}_{\text{m}\text{i}\text{s}\text{c}}$~~$0$

For a slip of $0\mathrm{.}05$ find:

a$.$ The line current $I_L(5$ points$)$

b$.$ The stator copper losses $P_{SCL}(5$ points$)$

c$.$ The air$-$gap power $P_{AG}(5$ points$)$

d$.$ The power converted from electrical to mechanical form $P_{\text{c}\text{o}\text{n}\text{v}}(5$ points$)$

e$.$ The induced torque ${}_{\text{i}\text{n}\text{d}}(5$ points$)$

f$.$ The load torque ${}_{\text{l}\text{o}\text{a}\text{d}}(5$ points$)$

g$.$ The overall machine efficiency $(5$ points$)$

h$.$ The motor speed in revolutions per minute and radians per second $(5$ points$)$

i$.$ What is the slip at the pullout torque? $(10$ points$)$

j$.$ What is the pullout torque of this motor? $(10$ points$)$