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For a certain Y-connected three-phase source, Van = 400/33 V, Vbn = 400/153 V, and Vcx =
Chapter 12, Problem 3(choose chapter or problem)
For a certain Y-connected three-phase source, \(\mathbf{V}_{an}=400 \angle 33^{\circ}\mathrm{\ V}\), \(\mathbf{V}_{bn}=400 \angle 153^{\circ}\mathrm{\ V}\), and \(\mathbf{V}_{cx}=160 \angle 208^{\circ}\mathrm{\ V}\). Determine (a) \(\mathbf{V}_{cn}\); (b) \(\mathbf{V}_{a n}-\mathbf{V}_{b n}\); (c) \(\mathbf{V}_{ax}\); (d) \(\mathbf{V}_{bx}\).
Questions & Answers
QUESTION:
For a certain Y-connected three-phase source, \(\mathbf{V}_{an}=400 \angle 33^{\circ}\mathrm{\ V}\), \(\mathbf{V}_{bn}=400 \angle 153^{\circ}\mathrm{\ V}\), and \(\mathbf{V}_{cx}=160 \angle 208^{\circ}\mathrm{\ V}\). Determine (a) \(\mathbf{V}_{cn}\); (b) \(\mathbf{V}_{a n}-\mathbf{V}_{b n}\); (c) \(\mathbf{V}_{ax}\); (d) \(\mathbf{V}_{bx}\).
ANSWER:Step 1 of 4
(a)
The given voltages are,
To calculate 
Then,
Thus,
