$1-$ A $220$ V d$.$c series motor has armature and field resistances of $0\mathrm{.}15$

and $0\mathrm{.}10$ respectively. It takes a current of $30$ A from the supply while

running at $1000$rpm$.$ If a diverter resistance of $0\mathrm{.}2$ is connected

across the field coil of the motor, calculate the new steady state

armature current and the speed. Assume the load torque remains

constant.