A $4-$pole, $32$ conductor, lap$-$wound de shunt generator with terminal voltage of $200$ volts delivering $12$ amps to the load, has armature resistance of $R_a=2$ and field circuit resistance of $R_f=200.$ It is driven at $1000$ rpm $.$

$($a$)$ Draw the equivalent circuit as generator.

$($b$)($i$)$ Determine the field current, $I_f$ as a generator.

$($ii$)$ Determine the armature current, $I_a$ as a generator.

$($iii$)$Determine the induced emf, $E_a$ as a generator.

$($c$)$ Determine the flux per pole.

$($d$)$ The machine has to be run as a motor with the same terminal voltage and drawing $5$ amps from the mains, and maintaining the same magnetic field.

$($i$)$ Draw the equivalent circuit as motor.

$($ii$)$ Determine the armature current, $I_a$ as a motor.

$($iii$)$Determine the induced emf, $E_a$ as a motor.

$($iv$)$ Determine the speed of the motor.

PLEASE ANSWER ALL PARTS