A 50-Hz, two-pole, 750 kVA, 2300 V, three-phase synchronous machine hasa synchronous reactance of 7.75 2 and achieves rated open-circuit terminalvoltage at a field current of 120 A. Calculate the armature-to-field mutual inductance. The machine is to be operated as a motor supplying a 600 kW load at its rated terminal voltage. Calculate the internal voltage Eaf and the corresponding field current if the motor is operating at unity power factor. c. For a constant load power of 600 kW, write a MATLAB script to plot the terminal current as a function of field current. For your plot, let the field current vary between a minimum value corresponding to a machine loading of 750 kVA at leading power factor and a maximum value corresponding to a machine loading of 750 kVA at lagging power factor.What value of field current produces the minimum terminal current? Why?