It is found that in a $60$ Hz $,$ balanced, positive phase sequence, $-$connected source configuration that $V_{23}=(56\mathrm{.}94+j212\mathrm{.}5)V(rms).$ Determine $v_{12}(t),v_{23}(t),$ and $v_{31}(t).$

Show your neat, organized, and rigorous work here. Do the work on scratch paper and then transfer a neat copy.

$2.$ In the figure below, the load impedances are $Z_{ab}=Z_{bc}=Z_{ca}=36+j9.$ Apply single$-$phase equivalency to determine the three line currents.

Show your neat, organized, and rigorous work here. Do the work on scratch paper and then transfer a neat copy.