A balanced three-phase three-wire system has a Y-connected load. Each phase contains

Chapter 12, Problem 12.4

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QUESTION:

A balanced three-phase three-wire system has a Y-connected load. Each phase contains three loads in parallel: \(−j100\ \Omega\), \(100\ \Omega\), and \(50 + j50\ \Omega\). Assume positive phase sequence with \(\mathbf{V}_{ab}=400\angle0^{\circ}\mathrm{\ V}\). Find (a) \(\mathbf{V}_{an}\); (b) \(\mathbf{I}_{aA}\); (c) the total power drawn by the load.

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QUESTION:

A balanced three-phase three-wire system has a Y-connected load. Each phase contains three loads in parallel: \(−j100\ \Omega\), \(100\ \Omega\), and \(50 + j50\ \Omega\). Assume positive phase sequence with \(\mathbf{V}_{ab}=400\angle0^{\circ}\mathrm{\ V}\). Find (a) \(\mathbf{V}_{an}\); (b) \(\mathbf{I}_{aA}\); (c) the total power drawn by the load.

ANSWER:

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Given data:

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