Circuit $1$

You are designing a small $3-$phase hydroelectric distribution system, modeled as shown in Circuit $1.$ Phase sequence is ABC.$Z_{\text{L}\text{O}\text{A}\text{D}}$ is $1\mathrm{.}47+j1\mathrm{.}26.$ In order for the load to function properly, the line voltage at the load must be $440$ V $.$

a$)(2$ pts$)$ The distribution lines are $5$ km of $00-$gauge copper wire $($diameter $=9\mathrm{.}266mm).$ The resistivity of copper is $1\mathrm{.}72{10}^{-8}*m.$ Given that resistance $=$ resistivity $**$ length $/$ area, find the resistance of each transmission line $($hint: your answer should be between $1\mathrm{.}0$ and $1\mathrm{.}5)$

b$)(4$ pts$)$ Given find $I_{\text{L}\text{I}\text{N}\text{E}}.$

Nami

Date

Score:

$120$

c$)(4$ pts$)$ Find the total Real, Reactive, and Apparent power of the load.