Question # $02(20)$ A $125$ V$,5$ kW$,1800$ rpm dc shunt motor requires only $5$ volts to send full$-$load current through the armature when the armature is held stationary. $($a$)$ Determine the armature current if full$-$line voltage is impressed across the armature at starting. $($b$)$ Determine the value of the external resistance needed in series with the armature to limit the starting current to $1\mathrm{.}5$ times the full$-$load current. $($c$)$ The motor is coupled to a mechanical load by a belt. Determine the generated voltage at full load condition $($Vt $=125$ V$,$ n$=1800$ rpm$,$ Ia $=$Ia$($rated$)).$ If the belt breaks, determine the speed of the motor. Neglect rotational losses and assume $10\%$ reduction of flux at full load.