PROBLEMSSECTION 3.13.1 (a) An ideal single-phase two-winding transformer with turns ratio a, = N1/N2 is con-nected with a series impedance Z, across winding 2. If one wants to replace Z,, with aseries impedance Z, across winding 1 and keep the terminal behavior of the two cir-cuits to be identical, find Z¡ in terms of Z2.(b) Would the above result be true if instead of a series impedance there is a shuntimpedance?(c) Can one refer a ladder network on the secondary (2) side to the primary (1) sidesimply by multiplying every impendance by a??3.2 An ideal transformer with N1 = 2000 and N2 = 500 is connected with an impedanceZ2, across winding 2, called secondary. If V = 1000 /0° V and I = 5 /-30° A,determine V2, I2, Z2, and the impedance Z', which is the value of Z2 referred to theprimary side of the transformer.3.3 Consider an ideal transformer with N1 = 3000 and N2 = 1000 turns. Let winding 1 beconnected to a source whose voltage is e1(t) = 100(1 - |4) volts for –1 sisl andei(1) = 0 for |t| > 1 second. A 2-farad capacitor is connected across winding 2. Sketchei(1), e2(1), i1 (1), and i2(t) versus time t.A single-phase 100-kVA, 2400/240-volt, 60-Hz distribution transformer is used as astep-down transformer. The load, which is connected to the 240-volt secondary wind-ing, absorbs 80 kVA at 0.8 power factor lagging and is at 230 volts. Assuming anideal transformer, calculate the following: (a) primary voltage, (b) load impedance,(c) load impedance referred to the primary, and (d) the real and reactive power sup-plied to the primary winding.3.4

Answered: Image /qna-images/answer/69e37875-aaa8-45e0-af15-61de5e61f191.jpg

3.1 (a) An ideal single-phase two-winding transformer with turns ratio a, = N1/N2 is con- nected with a series impedance Z2 across winding 2. If one wants to replace Z2, with a series impedance Z, across winding 1 and keep the terminal behavior of the two cir- cuits to be identical, find Zj in terms of Zz. (b) Would the above result be true if instead of a series impedance there is a shunt impedance? (c) Can one refer a ladder network on the secondary (2) side to the primary (1) side simply by multiplying every impendance by a??

3.1 (a) An ideal single-phase two-winding transformer with turns ratio a, = N1/N2 is con- nected with a series impedance Z2 across winding 2. If one wants to replace Z2, with a series impedance Z, across winding 1 and keep the terminal behavior of the two cir- cuits to be identical, find Zj in terms of Zz. (b) Would the above result be true if instead of a series impedance there is a shunt impedance? (c) Can one refer a ladder network on the secondary (2) side to the primary (1) side simply by multiplying every impendance by a??

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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