A three$-$phase delta$-$connected ac voltage controller is used to control the speed of a $3-$$,5$ hp$,208$ V$,60$ Hz induction motor. At full$-$load output $(5$ hp$,208$ V$),$ the power factor is $0\mathrm{.}85$ lagging, and the efficiency is $90\%.($a$)$ Draw the circuit. $($b$)$ Determine the input KVA for full$-$load output condition. $($c$)$ What is the range of the firing angle for the full$-$load condition. $($d$)$ Determine the $($i$)$ voltage and $($ii$)$ current ratings of the thyristors for full$-$load condition. $($e$)$ If the power factor is $0\mathrm{.}8($lagging$),$ for a firing angle of $60$o $,$ draw qualitatively the waveform of the motor current and motor voltage for one phase.