Using the voltages of Problem 8.6

(a) and the currents of Problem 8.5, compute the complex power dissipated based on

(a) phase components and

(b) symmetrical components.

Problem 8.6(a)

Given the symmetrical components to be

\[
V_{0}=10 \angle 0^{\circ} \mathrm{V}, V_{1}=80 \angle 30^{\circ} \mathrm{V}, V_{2}=40 \angle-30^{\circ} \mathrm{V}
\]

determine the unbalanced phase voltages \(V_{a}, V_{b}\), and \(V_{c}\).

Problem 8.5

For the unbalanced three-phase system described by

\[
I_{a}=10 \angle 0^{\circ} \mathrm{A}, I_{b}=8 \angle-90^{\circ} \mathrm{A}, I_{\mathrm{c}}=6 \angle 150^{\circ} \mathrm{A}
\]

compute the symmetrical components \(I_{0}, I_{1}\), and \(I_{2}\).