Given an electric distribution system with the following specifications:

Utility transformer:

Power: $750$ kVA

Voltage: $480-$V$,3-$phase

Impedance rating: $2\mathrm{.}5\%$

Main service switchboard:

Located $150$ feet from the utility transformer

Has three $(3)400$ kcmil copper conductors in steel conduit

Feeder Panel:

Located $100$ feet from the main service switchboard

Has three $(3)4/0$ conductors in PVC conduit

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Determine the short$-$circuit current at the following locations

What is the full$-$load current of the utility transformer? $(10$ points$)$

What is the short circuit current of the utility transformer? $(10$ points$)$

$3.$ What is the short circuit current of the building main service panel? $(10$ points$)$