A $4$ pole, $50$ Hz$,1500$ V$,$ class B induction machine is rated at $32$ kW$.$ It has a full load speed of $1460$ rpm and stator resistance of $2\mathrm{.}8/$phase$.($i$)$ If the rotor resistance is increased, describe with brief explanation what happens to : $$ the value of maximum torque, $$ the slip, and $$ the startup torque if the rotor resistance is increased. $($ii$)$ Calculate the full load torque for the machine. $($iii$)$ Using standard notation for blocked rotor tests, calculate the value of XBR$,$ if the results of a blocked rotor test are given as: f $=12\mathrm{.}5$ Hz$,$ VLL $=415$ V$,$ IL $=18$ A$,$ Input Power $=8700$ W$.$ Calculate the value of XBR$.$