The dc motor of Problem 11.1 has a field-winding inductance

The dc motor of Problem 11.1 has a field-winding inductance

The dc motor of Problem 11.1 has a field-winding inductance Lf = 3.7 H and a moment of inertia J = 0.081 kg 路 m2. The motor is operating at rated terminal voltage and an initial speed of 1300 r/min.
a. Calculate the initial field current If and duty cycle D. At time t = 0, the PWM duty cycle is suddenly switched from the value found in part (a) to D = 0.60.
b. Calculate the final values of the field current and motor speed after the transient has died out.
c. Write an expression for the field-current transient as a function of time.
d. Write a differential equation for the motor speed as a function of time during this transient.

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