In alternating current, AC, theory, the voltage through an inductor leads the current by a phase angle of 90°. Complex numbers can help in this situation as when a real number is multiplied by i it rotates through 90° on the Argand diagram, with the magnitude remaining the same. This allows us to specify the impedance through an inductor as a complex number. This can be combined with a resistor to give a combined impedance of z = r + Li. If we have two such elements in a circuit, we can use complex numbers to determine the total impedance when they are in series and in parallel. In series Zt = Z1 + Z2 In Parallel
In alternating current, AC, theory, the voltage through an inductor leads the current by a phase angle of 90°. Complex numbers can help in this situation as when a real number is multiplied by i it rotates through 90° on the Argand diagram, with the magnitude remaining the same. This allows us to specify the impedance through an inductor as a complex number. This can be combined with a resistor to give a combined impedance of z = r + Li. If we have two such elements in a circuit, we can use complex numbers to determine the total impedance when they are in series and in parallel. In series Zt = Z1 + Z2 In Parallel
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...
Related questions
Question
In alternating current, AC, theory, the voltage through an inductor leads the current by a phase angle of 90°. Complex numbers can help in this situation as when a real number is multiplied by i it rotates through 90° on the Argand diagram, with the magnitude remaining the same. This allows us to specify the impedance through an inductor as a complex number. This can be combined with a resistor to give a combined impedance of z = r + Li. If we have two such elements in a circuit, we can use complex numbers to determine the total impedance when they are in series and in parallel.
In series Zt = Z1 + Z2
In Parallel
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 4 images
Knowledge Booster
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)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,