A delta$-$connected induction motor is connected to a star$-$connected supply having a lineneutral voltage of $2,200$ Vrms$.$ The induction motor has an equivalent impedance per phase of Z$=6070.($a$)$ List $3$ advantages of $3-$phase induction motors over single$-$phase motors. $[3$ marks$]($b$)$ Draw the equivalent star$-$connected circuit of the given induction motor. $[3$ marks$]($c$)$ For the given system, calculate: $($i$)$ The terminal voltages on the motor; $[3$ marks$]($ii$)$ The phase currents in the motor; $[3$ marks$]($iii$)$ The line current in the cable; $[3$ marks$]($iv$)$ The power factor of the motor; $[2$ marks$]($v$)$ The input electrical power. $[$