A $1100-V$ delta$-$connected induction motor has a star$-$connected slip$-$ring rotor with a transformation ratio of $3\mathrm{.}8.$ The rotor resistance and standstill leakage reactance are $0\mathrm{.}012$ and $0\mathrm{.}25,$ respectively. Neglect stator impedance and magnetizing current.

$($a$)($i$)$ Determine rotor phase voltage $E_2$ at standstill.

$($ii$)$ Determine the rotor impedance $Z_2$ per phase in $.$

$($iii$)$ Determine the rotor current $I_2$ at start with slip$-$rings shorted.

$($b$)$ Determine the rotor power factor at start with slip$-$rings shorted.

$($c$)$ The runs with a slip of $4\%$ with slip$-$rings shorted.

$($i$)$ Determine rotor impedance $Z_2$ per phase in $.$

$($ii$)$ Determine the rotor phase voltage $E_2.$

$($iii$)$ Determine the rotor current $I_2.$

$($iv$)$ Determine the power factor.

$($d$)$ The starting current is $100$ A in the stator supply lines.

$($i$)$ Determine the rotor current $I_2.$

$($ii$)$ Determine the rotor phase voltage $E_2.$

$($iii$)$ Determine the external resistance $R_{\text{e}\text{x}\text{t}}$ per phase required.

PLEASE ANSWER ALL PARTS