A three-phase positive sequence Y-connected source supplies 14 kVA with a power factor

Chapter 11, Problem 11.27

(choose chapter or problem)

A three-phase positive sequence Y-connected source supplies 14 kVA with a power factor of 0.75 lagging to a parallel combination of a Y-connected load and a \(\Delta\)-connected load. The Y-connected load uses 9 kVA at a power factor of 0.6 lagging and has an a-phase current of \(10 \angle-30^{\circ} \mathrm{A}\).

a) Find the complex power per phase of the \(\Delta\)-connected load.

b) Find the magnitude of the line voltage.

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