A DC series motor has $200$ V$,20$ A and $1200$ r$.$p$.$m rated specifications. Armature and series

field resistances are $0\mathrm{.}1$ and $0\mathrm{.}2$ respectively. Magnetic circuits in its core are assumed to

be linear.

If a resistance of $20$ is placed in parallel with the armature, then under this condition

calculate;

i$.$ Induced E$.$M$.$F in the armature coil $.........................$

ii$.$ Armature current $.....................$

ii$.$ Speed at which the motor will run at the rated torque $..........................$