Problem $8$ Voltages and Currents in $Y-Y$ circuit

$10$pts

The $A-$phose equivalent for a balanced $3-$phese $Y-Y$ circuit is shown. The line and load impedances are given, the source impedance can be nealected.

$V_{an}=\frac{125}{{?}_0}$

Find Phasors

a$)I_A{I}_B{I}_C,V_{bn}{V}_{Cn},V_{AN},V_{BN}{V}_{CN},V_{AB}{V}_{BC}{V}_{CA}$

b$)$ Draw phasor diagram$($s$)$ for all voltages.

c$)$ Plot $v_{AB}(t)v_{BC}(t)$ and $v_{CA}(t)$ together on one time axis