,Preface
Electrical Circuit Analysis is one of the most fundamental subjects of Electrical Engineering
which is taught in two courses in successive semesters under the names of “Electrical Circuit
Analysis I” and “Electrical Circuit Analysis II” or under the names of “DC Electrical Circuit
Analysis” and “AC Electrical Circuit Analysis” in universities and colleges all over the world.
This textbook, like the previously published DC Electrical Circuit Analysis, includes basic
and advanced exercises of AC Electrical Circuit Analysis with very detailed and multiple
methods of solutions. The textbook can be used as a practicing textbook by students and as a
supplementary teaching source by instructors.
To help students study the textbook in the most efficient way, the exercises have been
categorized in nine different levels. In this regard, for each problem of the textbook, a difficulty
level (easy, normal, or hard) and a calculation amount (small, normal, or large) have been
assigned. Moreover, in each chapter, problems have been ordered from the easiest problem with
the smallest calculations to the most difficult problem with the largest calculations. Therefore,
students are suggested to start studying the textbook from the easiest problems and continue
practicing until they reach the normal and then the hardest ones. On the other hand, this
classification can help instructors choose their desired problems to conduct a quiz or a test.
Moreover, the classification of computation amount can help students manage their time during
future exams and instructors give the appropriate problems based on the exam duration.
Since the problems have very detailed solutions and some of them include multiple methods
of solutions, the textbook can be useful for the underprepared students. In addition, the textbook
is beneficial for knowledgeable students because it includes advanced exercises.
In the preparation of problem solutions, use of typical methods of Electrical Circuit Analysis
has been tried to present the textbook as an instructor-recommended one. In other words, the
heuristic methods have never been used as the first method of problem solution. By considering
this key point, the textbook is in the direction of instructors’ lectures, and the instructors will not
see any untaught problem solutions in their students’ answer sheets.
The Iranian University Entrance Exams for the Master’s and PhD degrees of Electrical
Engineering major is the main reference of the textbook; however, all the problem solutions
have been provided by me. The Iranian University Entrance Exam is one of the most competi-
tive university entrance exams in the world that allows only 10% of the applicants to get into
prestigious and tuition-free Iranian universities.
Buffalo, NY, USA Mehdi Rahmani-Andebili
v
,Contents
1 Problems: Sinusoidal Steady-State Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
2 Solutions of Problems: Sinusoidal Steady-State Analysis . . . . . . . . . . . . . . . . . . 37
3 Problems: Sinusoidal Steady-State Analysis of Circuits Including
Transformers and Magnetically Coupled Inductors . . . . . . . . . . . . . . . . . . . . . 149
4 Solutions of Problems: Sinusoidal Steady-State Analysis of Circuits
Including Transformers and Magnetically Coupled Inductors . . . . . . . . . . . . . 169
Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 225
vii
, About the Author
Mehdi Rahmani-Andebili is an Assistant Professor in the Engineering Technology
Department at State University of New York, Buffalo State. He received his first M.Sc. and
Ph.D. degrees in Electrical Engineering (Power System) from Tarbiat Modares University and
Clemson University in 2011 and 2016, respectively, and his second M.Sc. degree in Physics
and Astronomy from the University of Alabama in Huntsville in 2019. Moreover, he was a
Postdoctoral Fellow at Sharif University of Technology during 2016–2017. As a professor, he
has taught many courses such as Essentials of Electrical Engineering Technology, Electrical
Circuits Analysis I, Electrical Circuits Analysis II, Electrical Circuits and Devices, Industrial
Electronics, and Renewable Distributed Generation and Storage. Dr. Rahmani-Andebili has
more than 100 single-author publications including textbooks, books, book chapters, journal
papers, and conference papers. His research areas include Smart Grid, Power System Operation
and Planning, Integration of Renewables and Energy Storages into Power System, Energy
Scheduling and Demand-Side Management, Plug-in Electric Vehicles, Distributed Generation,
and Advanced Optimization Techniques in Power System Studies.
ix
Electrical Circuit Analysis is one of the most fundamental subjects of Electrical Engineering
which is taught in two courses in successive semesters under the names of “Electrical Circuit
Analysis I” and “Electrical Circuit Analysis II” or under the names of “DC Electrical Circuit
Analysis” and “AC Electrical Circuit Analysis” in universities and colleges all over the world.
This textbook, like the previously published DC Electrical Circuit Analysis, includes basic
and advanced exercises of AC Electrical Circuit Analysis with very detailed and multiple
methods of solutions. The textbook can be used as a practicing textbook by students and as a
supplementary teaching source by instructors.
To help students study the textbook in the most efficient way, the exercises have been
categorized in nine different levels. In this regard, for each problem of the textbook, a difficulty
level (easy, normal, or hard) and a calculation amount (small, normal, or large) have been
assigned. Moreover, in each chapter, problems have been ordered from the easiest problem with
the smallest calculations to the most difficult problem with the largest calculations. Therefore,
students are suggested to start studying the textbook from the easiest problems and continue
practicing until they reach the normal and then the hardest ones. On the other hand, this
classification can help instructors choose their desired problems to conduct a quiz or a test.
Moreover, the classification of computation amount can help students manage their time during
future exams and instructors give the appropriate problems based on the exam duration.
Since the problems have very detailed solutions and some of them include multiple methods
of solutions, the textbook can be useful for the underprepared students. In addition, the textbook
is beneficial for knowledgeable students because it includes advanced exercises.
In the preparation of problem solutions, use of typical methods of Electrical Circuit Analysis
has been tried to present the textbook as an instructor-recommended one. In other words, the
heuristic methods have never been used as the first method of problem solution. By considering
this key point, the textbook is in the direction of instructors’ lectures, and the instructors will not
see any untaught problem solutions in their students’ answer sheets.
The Iranian University Entrance Exams for the Master’s and PhD degrees of Electrical
Engineering major is the main reference of the textbook; however, all the problem solutions
have been provided by me. The Iranian University Entrance Exam is one of the most competi-
tive university entrance exams in the world that allows only 10% of the applicants to get into
prestigious and tuition-free Iranian universities.
Buffalo, NY, USA Mehdi Rahmani-Andebili
v
,Contents
1 Problems: Sinusoidal Steady-State Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
2 Solutions of Problems: Sinusoidal Steady-State Analysis . . . . . . . . . . . . . . . . . . 37
3 Problems: Sinusoidal Steady-State Analysis of Circuits Including
Transformers and Magnetically Coupled Inductors . . . . . . . . . . . . . . . . . . . . . 149
4 Solutions of Problems: Sinusoidal Steady-State Analysis of Circuits
Including Transformers and Magnetically Coupled Inductors . . . . . . . . . . . . . 169
Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 225
vii
, About the Author
Mehdi Rahmani-Andebili is an Assistant Professor in the Engineering Technology
Department at State University of New York, Buffalo State. He received his first M.Sc. and
Ph.D. degrees in Electrical Engineering (Power System) from Tarbiat Modares University and
Clemson University in 2011 and 2016, respectively, and his second M.Sc. degree in Physics
and Astronomy from the University of Alabama in Huntsville in 2019. Moreover, he was a
Postdoctoral Fellow at Sharif University of Technology during 2016–2017. As a professor, he
has taught many courses such as Essentials of Electrical Engineering Technology, Electrical
Circuits Analysis I, Electrical Circuits Analysis II, Electrical Circuits and Devices, Industrial
Electronics, and Renewable Distributed Generation and Storage. Dr. Rahmani-Andebili has
more than 100 single-author publications including textbooks, books, book chapters, journal
papers, and conference papers. His research areas include Smart Grid, Power System Operation
and Planning, Integration of Renewables and Energy Storages into Power System, Energy
Scheduling and Demand-Side Management, Plug-in Electric Vehicles, Distributed Generation,
and Advanced Optimization Techniques in Power System Studies.
ix
