Final answer:
The student's question involves calculating how the speed and current of a DC series motor change when the motor field winding is shunted with a divertor of equal resistance. This typically results in a higher speed due to a weaker magnetic field. Exact calculations require additional details about the motor characteristics.
Step-by-step explanation:
The subject matter pertains to the analysis of a DC series motor under varying electrical load conditions, specifically when a motor field winding is shunted with a divertor.
The question involves understanding the relationship between speed, torque, and current in a DC series motor where the applied load torque varies as the square of the speed. The student is asked to calculate changes in speed and current of the DC motor when modifications are made to the circuit.
Typically, when shunting with a divertor of the same resistance as that of the field winding, the field current would be reduced which in turn would weaken the magnetic field, causing the motor to speed up and potentially draw more current if not limited by other means.
To perform the calculation, assumptions about the magnetic field, armature reaction, and other motor characteristics may be necessary. However, without more specific details on the motor and the circuit conditions after the shunting, an exact analytical answer cannot be provided.