# A balanced three-phase Y-connected supply delivers power through a three-wire plus

Chapter 12, Problem P12.3-2

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QUESTION:

A balanced three-phase Y-connected supply delivers power through a three-wire plus neutral-wire circuit in a large office building to a three-phase Y-connected load. The circuit operates at 60 Hz. The phase voltages of the Y-connected source are $$\mathrm{V}_{\mathrm{a}}=120 \angle 0^{\circ} \mathrm{V}$$ rms, $$\mathrm{V}_{\mathrm{b}}=120$$ $$\angle-120^{\circ} \mathrm{V}$$ rms, and $$\mathbf{V}_c=120 \angle 120^{\circ}$$ V rms. Each transmission wire, including the neutral wire, has a $$2-\Omega$$ resistance, and the balanced Y load has a $$10-\Omega$$ resistance in series with 100 mH. Find the line voltage and the phase current at the load.

QUESTION:

A balanced three-phase Y-connected supply delivers power through a three-wire plus neutral-wire circuit in a large office building to a three-phase Y-connected load. The circuit operates at 60 Hz. The phase voltages of the Y-connected source are $$\mathrm{V}_{\mathrm{a}}=120 \angle 0^{\circ} \mathrm{V}$$ rms, $$\mathrm{V}_{\mathrm{b}}=120$$ $$\angle-120^{\circ} \mathrm{V}$$ rms, and $$\mathbf{V}_c=120 \angle 120^{\circ}$$ V rms. Each transmission wire, including the neutral wire, has a $$2-\Omega$$ resistance, and the balanced Y load has a $$10-\Omega$$ resistance in series with 100 mH. Find the line voltage and the phase current at the load.

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