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. 1. a) v a = 180 cos 377t V, v b = 180 cos (377t− 120 ∘ ) V, v c = 180 cos (377t− 240 ∘ ) V. 2. b) v a = 180 sin 377t V, v b = 180 sin(377t+ 120 ∘ ) V, v c = 180 sin (377t− 120 ∘ ) V. 3. c) v a = −400 sin377t V, v b = 400 sin (377t+ 210 ∘ ) V, v c = 400 cos (377t− 30 ∘ ) V. 4. d) v a = 200 cos (2000t+ 30 ∘ ) V, v b = 201 cos (2000t+ 150 ∘ ) V, v c = 200 cos (2000t+ 270 ∘ ) V. 5. e) v a = 208 cos (630t+ 42 ∘ ) V, v b = 208 cos (630t− 78 ∘ ) V, v c = 208 cos (630t− 201 ∘ ) V. 6. f) v a = 240 cos 377t V, v b = 240 cos (377t− 120 ∘ ) V, v c = 240 cos (397t+ 120 ∘ ) V.
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. 1. a) v a = 180 cos 377t V, v b = 180 cos (377t− 120 ∘ ) V, v c = 180 cos (377t− 240 ∘ ) V. 2. b) v a = 180 sin 377t V, v b = 180 sin(377t+ 120 ∘ ) V, v c = 180 sin (377t− 120 ∘ ) V. 3. c) v a = −400 sin377t V, v b = 400 sin (377t+ 210 ∘ ) V, v c = 400 cos (377t− 30 ∘ ) V. 4. d) v a = 200 cos (2000t+ 30 ∘ ) V, v b = 201 cos (2000t+ 150 ∘ ) V, v c = 200 cos (2000t+ 270 ∘ ) V. 5. e) v a = 208 cos (630t+ 42 ∘ ) V, v b = 208 cos (630t− 78 ∘ ) V, v c = 208 cos (630t− 201 ∘ ) V. 6. f) v a = 240 cos 377t V, v b = 240 cos (377t− 120 ∘ ) V, v c = 240 cos (397t+ 120 ∘ ) V.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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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.
1. a) v a = 180 cos 377t V, v b = 180 cos (377t− 120 ∘ ) V, v c = 180 cos (377t− 240 ∘ ) V.
2. b) v a = 180 sin 377t V, v b = 180 sin(377t+ 120 ∘ ) V, v c = 180 sin (377t− 120 ∘ ) V.
3. c) v a = −400 sin377t V, v b = 400 sin (377t+ 210 ∘ ) V, v c = 400 cos (377t− 30 ∘ ) V.
4. d) v a = 200 cos (2000t+ 30 ∘ ) V, v b = 201 cos (2000t+ 150 ∘ ) V, v c = 200 cos (2000t+ 270 ∘ ) V.
5. e) v a = 208 cos (630t+ 42 ∘ ) V, v b = 208 cos (630t− 78 ∘ ) V, v c = 208 cos (630t− 201 ∘ ) V. 6. f) v a = 240 cos 377t V, v b = 240 cos (377t− 120 ∘ ) V, v c = 240 cos (397t+ 120 ∘ ) V.
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