A $\backslash (480\backslash$mathrm$\{$~V$\},60\backslash$mathrm$\{$~Hz$\}\backslash ),$ Y$-$connected, eight poles synchronous generator has the OCC given in tabular form below. The generator has a per$-$phase synchronous reactance of $\backslash (0\mathrm{.}2\backslash$Omega $\backslash ),$ and negligible armature resistance. At full$-$load, the machine supplies $690$ A line current at $0\mathrm{.}85$ PF lagging. The generator has a friction and windage losses of $50$ KW and core losses of $45$ KW at full load. Ignore stray losses, and any field circuit losses.

$1-$How much field current must be supplied to the generator to make the terminal voltage $\backslash (\backslash$mathbf$\{480\}\backslash$mathbf$\{$~ V$\}\backslash )$ at no$-$load, $\backslash (\backslash$mathrm$\{$I$\}\_\{\backslash$mathrm$\{$f$\}\}=\backslash )$ A

$2-$ To make the terminal voltage $\backslash (\backslash$mathbf$\{480\}\backslash$mathbf$\{$V$\}\backslash )$ at full$-$load, The internal generated voltage of this generator will be $\backslash (=\backslash )$ V with a torque angle$=$ degree $,$ and the field current that must be supplied to the generator $\backslash (=\backslash )$ A

$3-$The output power supplied by this generator at full$-$load $\backslash (=\backslash ).$ KW

$4-$ The shaft torque must be applied by the prime mover at full$-$load$=$ Nm

$5-$ The maximum power that can be supplied by this generator$=$ MW