A non-salient pole, Y-connected, three-phase, two-pole synchronous generator is connected to a $400-\mathrm{V}$ (line to line), $60-\mathrm{Hz}$, three-phase line. The stator impedance is $0.5+j 1.6 \Omega$ (per phase). The generator is delivering rated current $(36 \Delta)$ at unity power factor to the line. Determine the power angle for this load and the value of $E_b$ for this condition. Sketch the phasor diagram, showing $\mathbf{E}_b, \mathbf{I}_S$, and $\mathbf{V}_S$.