The induced emf in a  pole, 3-phase star connected synchronous motor is considered to be equal and in phase with the terminal voltage under no load condition. On application of a mechanical load, the induced emf phasor is deflected by an angle of  mechanical with respect to the terminal voltage phasor. If the synchronous reactance is , and stator resistance is negligible, then the motor armature current magnitude, in ampere, during loaded condition is closest to, _________ (round off to two decimal places).

A 3-phase, 11kV, 10 MVA synchronous generator is connected to an inductive load of power factor  via a lossless line with a per-phase inductive reactance of . The per-phase synchronous reactance of the generator is  with negligible armature resistance. If the generator is producing the rated current at the rated voltage, then the power factor at the terminal of the generator is

A three-phase synchronous motor with synchronous impedance of  per unit per phase has a static stability limit of 2.5 per unit. The corresponding excitation voltage in per unit is _________(Round off to 2 decimal places).