Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
If a voltage source is applied to the primary while

If a voltage source is applied to the primary while

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
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
See similar textbooks
icon
Related questions
icon
Concept explainers
Question
If a voltage source is applied to the primary while the secondary is left open-circuited (I2 = 0) the transformer equations reduce to: V, =(R,+jwL,)I, 200 If R, has been measured and we know the frequency ® , the measurements of V1, V20c, and I1, can be used to determine the values of L, and M. 20C, If a voltage source is now applied to the secondary while the primary is left open-circuited (i.e. I, = 0) the value of L2 can be determined in a similar fashion, V; =-(R,+jwL,)I,
Transcribed Image Text:If a voltage source is applied to the primary while the secondary is left open-circuited (I2 = 0) the transformer equations reduce to: V, =(R,+jwL,)I, 200 If R, has been measured and we know the frequency ® , the measurements of V1, V20c, and I1, can be used to determine the values of L, and M. 20C, If a voltage source is now applied to the secondary while the primary is left open-circuited (i.e. I, = 0) the value of L2 can be determined in a similar fashion, V; =-(R,+jwL,)I,
2. The parameters of a certain transformer are to be found. Following the procedure as outlined in the introduction under the first order low frequency model section: The resistance of the primary winding of a certain transformer is found to be R1 = 388 Q, while the resistance of the secondary winding is R, = 0.9 Q. A 200 Hz, 5 volt peak-to-peak sinusoid, V1, is applied to the primary while the secondary is left open-circuited. The primary current, I,, entering at the dot is measured to be 1.07 milliamps peak-to-peak, lagging the voltage by nearly 83°. The open circuit voltage across the secondary, V20c, is measured to be 0.155 volts peak-to-peak. The sinusoid driving the primary is removed and a 200 Hz, 5 volt peak-to-peak sinusoid, V2, is applied to the secondary while the primary is left open-circuited. The secondary current, I2, entering at the dot is measured to be 206 milliamps peak-to-peak, lagging the voltage by 87°. From these measurements, estimate the self-inductances, L, and L2, the mutual inductance, M, and the coupling coefficient, k, of the transformer.
Transcribed Image Text:2. The parameters of a certain transformer are to be found. Following the procedure as outlined in the introduction under the first order low frequency model section: The resistance of the primary winding of a certain transformer is found to be R1 = 388 Q, while the resistance of the secondary winding is R, = 0.9 Q. A 200 Hz, 5 volt peak-to-peak sinusoid, V1, is applied to the primary while the secondary is left open-circuited. The primary current, I,, entering at the dot is measured to be 1.07 milliamps peak-to-peak, lagging the voltage by nearly 83°. The open circuit voltage across the secondary, V20c, is measured to be 0.155 volts peak-to-peak. The sinusoid driving the primary is removed and a 200 Hz, 5 volt peak-to-peak sinusoid, V2, is applied to the secondary while the primary is left open-circuited. The secondary current, I2, entering at the dot is measured to be 206 milliamps peak-to-peak, lagging the voltage by 87°. From these measurements, estimate the self-inductances, L, and L2, the mutual inductance, M, and the coupling coefficient, k, of the transformer.
Expert Solution
steps

Step by step

Solved in 5 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Measuring instrument
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,
SEE MORE TEXTBOOKS