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1- The secondary winding of a transformer has a terminal voltage of v,(1) = 282.8 sin 377t V . The turns ratio of the transformer is 100:200 (a = 0.50). If the secondary current of the transformer is i,(1) = 7.07 sin (3771– 36.87°) A, what is the primary current of this transformer? What are its voltage regulation and efficiency? The impedances of this transformer referred to the primary side are = 0.20 2 R. = 300 2 X = 0.750 2 XM = 80 2 %3D

1- The secondary winding of a transformer has a terminal voltage of v,(1) = 282.8 sin 377t V . The turns ratio of the transformer is 100:200 (a = 0.50). If the secondary current of the transformer is i,(1) = 7.07 sin (3771– 36.87°) A, what is the primary current of this transformer? What are its voltage regulation and efficiency? The impedances of this transformer referred to the primary side are = 0.20 2 R. = 300 2 X = 0.750 2 XM = 80 2 %3D

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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1- The secondary winding of a transformer has a terminal voltage of v,(t) = 282.8 sin 377t V . The turns ratio of the transformer is 100:200 (a = 0.50). If the secondary current of the transformer is i,(1) = 7.07 sin (3771– 36.87°) A, what is the primary current of this transformer? What are its voltage regulation and efficiency? The impedances of this transformer referred to the primary side are R = 0.20 2 R. = 300 2 X = 0.750 2 X = 80 2 2- A 13.2-kV single-phase generator supplies power to a load through a transmission line. The load's impedance is Zpod = 500Z36.87° Q , and the transmission line's impedance is Zme = 60253.1° Q. 60L 53.1° 2 Ztine Vg = 13.2L0 kV 500L 36.87° N Zjoad (a) 60 Z 53.1° N Zjine 1:10 10:1 500L 36.87° Q Vg = 13.24 0 kV Zjoad T2 (b) (a) If the generator is directly connected to the load (Figure P2-3a), what is the ratio of the load voltage to the generated voltage? What are the transmission losses of the system? (b) If a 1:10 step-up transformer is placed at the output of the generator and a 10:1 transformer is placed at the load end of the transmission line, what is the new ratio of the load voltage to the generated voltage? What are the transmission losses of the system now? (Note: The transformers may be assumed to be ideal.)
Transcribed Image Text:1- The secondary winding of a transformer has a terminal voltage of v,(t) = 282.8 sin 377t V . The turns ratio of the transformer is 100:200 (a = 0.50). If the secondary current of the transformer is i,(1) = 7.07 sin (3771– 36.87°) A, what is the primary current of this transformer? What are its voltage regulation and efficiency? The impedances of this transformer referred to the primary side are R = 0.20 2 R. = 300 2 X = 0.750 2 X = 80 2 2- A 13.2-kV single-phase generator supplies power to a load through a transmission line. The load's impedance is Zpod = 500Z36.87° Q , and the transmission line's impedance is Zme = 60253.1° Q. 60L 53.1° 2 Ztine Vg = 13.2L0 kV 500L 36.87° N Zjoad (a) 60 Z 53.1° N Zjine 1:10 10:1 500L 36.87° Q Vg = 13.24 0 kV Zjoad T2 (b) (a) If the generator is directly connected to the load (Figure P2-3a), what is the ratio of the load voltage to the generated voltage? What are the transmission losses of the system? (b) If a 1:10 step-up transformer is placed at the output of the generator and a 10:1 transformer is placed at the load end of the transmission line, what is the new ratio of the load voltage to the generated voltage? What are the transmission losses of the system now? (Note: The transformers may be assumed to be ideal.)
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