A $230$ V$,50$ Hz$,4-$pole single$-$phase induction motor have Rim, R$2,$ Xim X$2$ &$$ equals to $2\mathrm{.}2,4\mathrm{.}5,3\mathrm{.}1,2\mathrm{.}6$ and $80$ respectively. Friction, windage and core loss$=40$ W$.$ For a slip of $0\mathrm{.}03$ p$.$u$,$ calculate $($i$)$ input cuurent, $($b$)$ power factor,

$($c$)$ developed power, $($d$)$ output power, $($e$)$ efficiency