A 200 MVA. 12 kV, 0.85 power factor, lagging. 50-Hz, 20-pole. V-connected water turbine generator has a per-unit synchronous reactance of 0.9 and a per-unit armature resistance of 0.1. This generator is operating in parallel with a large power system (infinite bus). 

1. What is the speed of rotation of this generator's shaft?
2. What a the magnitude of the internally generated voltage, E_A. at rated conditions? 
3. What is the torque angle at rated conditions? 
4. What are the values of the generator's synchronous reactance and armature resistance in ohms If the field current is held constant, what is the maximum power possible out of this generator? 
5. How much reserve power or torque does this generator have at full load? 
6. At the absolute maximum power possible, how much reactive power will this generator be supplying or consuming? Sketch the phasor diagram (assume the field current is still unchanged)