A $10-\mathrm{hp}, 230-\mathrm{V}, 60-\mathrm{Hz}$, three-phase, Y-connected synchronous motor delivers full load at a power factor of 0.8 leading. The synchronous reactance is $6 \Omega$, the rotational loss is 230 W , and the field loss is 50 W . Find
a. The armature current.
b. The motor efficiency.
c. The power angle.
Neglect the stator winding resistance.