A six pole, Y $-$connected synchronous generator rated at $655$KVA,$3\mathrm{.}2KV,0\mathrm{.}9PF$ lagging, and $50$ Hz frequency. Its armature resistance is $0\mathrm{.}7$ and $xs=15.$

The core losses of this generator at rated conditions are $8$ KW $,$ and the friction and windage losses are $10$ KW $.$

At rated conditions Calculate:

$1-$The magnitude of the armature current $I_A=$ A$,$ with a phase angle $=$ degree

$2-$The internal generated voltage of this generator $=$ V with a torque angle $=$ degree

$3-$The electrical losses in this generator$=$ KW

$4-$The input power $=$ KW ; the input torque that must be applied by the prime mover to the shaft of this generator $=$ Nm

$5-$If the load is suddenly removed, the terminal voltage will be $=$ V