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Abalanced three-phase three-wire system is terminated with two -connected loads in
Chapter 12, Problem 12.8(choose chapter or problem)
A balanced three-phase three-wire system is terminated with two \(\Delta\)-connected loads in parallel. Load 1 draws 40 kVA at a lagging PF of 0.8, while load 2 absorbs 24kW at a leading PF of 0.9. Assume no line resistance, and let \(\mathbf{V}_{ab}=440\angle30^{\circ}\mathrm{\ V}\). Find (a) the total power drawn by the loads; (b) the phase current \(\mathbf{I}_{A B 1}\) for the lagging load; (c) \(\mathbf{I}_{A B 2}\); (d) \(\mathbf{I}_{a A}\).
Questions & Answers
QUESTION:
A balanced three-phase three-wire system is terminated with two \(\Delta\)-connected loads in parallel. Load 1 draws 40 kVA at a lagging PF of 0.8, while load 2 absorbs 24kW at a leading PF of 0.9. Assume no line resistance, and let \(\mathbf{V}_{ab}=440\angle30^{\circ}\mathrm{\ V}\). Find (a) the total power drawn by the loads; (b) the phase current \(\mathbf{I}_{A B 1}\) for the lagging load; (c) \(\mathbf{I}_{A B 2}\); (d) \(\mathbf{I}_{a A}\).
ANSWER:Step 1 of 5
As per the given data, draw the circuit as follows.