A two pole, 850 kVA, 2400 Vrms, 60 Hz, three-phase synchronous machine acting as a generator has a syn-chronous reactance of 7.5 a and you can assume the armature resistance to be negligible. It operates at the rated open circuit voltage with a field current of 175 A. Analytically find: (a) 10pts. The magnitude of the field-to-armature mutual inductance. (b) 10pts. The internal voltage value for a load of 750 kW at unity power factor. (c) 10pts. Using a MATLAB script m-file (not a Simscape simulation) create a plot for the constant load power in (b) while varying the field current to archive a maximum and minimum values of 850 kVA leading/lagging. Find the value of the field current that produces the minimum terminal current value. Rel. Date: 3/22/20 Michigan Technological University 2 of 3