The single-phase three-wire system of Fig. 12.31 has three separate load impedances. If

Chapter 12, Problem 11

(choose chapter or problem)

The single-phase three-wire system of Fig. 12.31 has three separate load impedances. If the source is balanced and \(\mathbf{V}_{an}=110+j0\mathrm{\ V\ }\mathrm{rms}\), (a) express \(\mathbf{V}_{an}\) and \(\mathbf{V}_{bn}\) in phasor notation. (b) Determine the phasor voltage which appears across the impedance \(\mathbf{Z}_{3}\). (c) Determine the average power delivered by the two sources if \(\mathbf{Z}_1=50+j0\ \Omega\), \(\mathbf{Z}_2=100+j45\ \Omega\), and \(\mathbf{Z}_3=100-j90\ \Omega\). (d) Represent load \(\mathbf{Z}_{3}\) by a series connection of two elements, and state their respective values if the sources operate at 60 Hz.

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