1. (Prob # 11.2, pg. 436) For each set of voltages, state whether or not the voltages form a balanced three-phase set. If the set is balanced, state whether the phase sequence is positive or negative. If the set is not balanced, explain why. a) va = 180 cos 377t V Vb = 180 cos (377t -120°) V Vc = 180 cos (377t-240°) V b) va 180 sin 377t V = Vb = 180 sin (377t +120°) V Vc = 180 sin (377t -120°) V c) Va=-400 sin 377t V Vb = 400 sin (377t +210°) V Vc = 400 sin (377t -30°) V d) va = 200 cos (2000t +30°) V Vb = 201 cos (2000t + 150°) V Vc = 200 cos (2000t + 270°) V e) Va= 208 cos (630t +42°) V Vb = 208 cos (630t - 78°) V Vc = 208 cos (630t - 201°) V f) Va= 240 cos 377t V Vb = 240 cos (377t -120°) V Vc = 240 cos (397t +120°) V
1. (Prob # 11.2, pg. 436) For each set of voltages, state whether or not the voltages form a balanced three-phase set. If the set is balanced, state whether the phase sequence is positive or negative. If the set is not balanced, explain why. a) va = 180 cos 377t V Vb = 180 cos (377t -120°) V Vc = 180 cos (377t-240°) V b) va 180 sin 377t V = Vb = 180 sin (377t +120°) V Vc = 180 sin (377t -120°) V c) Va=-400 sin 377t V Vb = 400 sin (377t +210°) V Vc = 400 sin (377t -30°) V d) va = 200 cos (2000t +30°) V Vb = 201 cos (2000t + 150°) V Vc = 200 cos (2000t + 270°) V e) Va= 208 cos (630t +42°) V Vb = 208 cos (630t - 78°) V Vc = 208 cos (630t - 201°) V f) Va= 240 cos 377t V Vb = 240 cos (377t -120°) V Vc = 240 cos (397t +120°) V
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Transcribed Image Text:1. (Prob # 11.2, pg. 436) For each set of voltages, state whether or not the
voltages form a balanced three-phase set. If the set is balanced, state
whether the phase sequence is positive or negative. If the set is not
balanced, explain why.
a) Va= 180 cos 377t V
Vb = 180 cos (377t -120°) V
Vc = 180 cos (377t -240°) V
b) va = 180 sin 377t V
Vb = 180 sin (377t +120°) V
Vc = 180 sin (377t -120°) V
c) Va= -400 sin 377t V
Vb = 400 sin (377t +210°) V
Vc = 400 sin (377t -30°) V
d) va = 200 cos (2000t +30°) V
Vb = 201 cos (2000t + 150°) V
Vc = 200 cos (2000t + 270°) V
e) va = 208 cos (630t + 42°) V
Vb = 208 cos (630t - 78°) V
Vc = 208 cos (630t - 201°) V
f) Va= 240 cos 377t V
Vb = 240 cos (377t -120°) V
Vc = 240 cos (397t +120°) V
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In this question, we need to check whether the given system is balanced or not and also determine the phase sequence of the given system.
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