Please work out the following questions on paper, scan them…

Please work out the following questions on paper, scan them as a PDF, and show your work for the following: A 3-phase, wye-connected, 12-Pole, synchronous machine is rated for 1200VA, 50Hz is operating with a terminal voltage of 200V at 0.88 lagging power factor. Given that Rs = 0Ω, and Xs = 10Ω per-phase:  a) What is the current running through the stator? Assume that current is  sourcing out of internal voltage. (3 Points)  b) What is the rotational speed of the rotor? (3 Points)  c) At the rated operating load, that is the internal Voltage, Ea? Torque angle? (4 Points)  d) Draw the Phasor Diagram of the output voltage, current, and internal voltage. Label the torque angle and power factor angle between output current and voltage. What is the synchronous machine operating as? Please ensure the scaling of the gridlines and the vectors themselves are visually correct and legible. (4 Points) e) Provided that the friction and windage losses in the rotor are 300W, what is the torque induced in the rotor? (3 Points)  f) What is the reactive power within the synchronous machine? Is it supplying or absorbing reactive power? (3 Points)