Theory and Problems of Electric Circuits

This book is designed for use as a textbook for a first course in circuit analysis or as a supplement to
standard texts and can be used by electrical engineering students as well as other engineereing and
technology students. Emphasis is placed on the basic laws, theorems, and problem-solving techniques
which are common to most courses.
The subject matter is divided into 17 chapters covering duly-recognized areas of theory and study.
The chapters begin with statements of pertinent definitions, principles, and theorems together with
illustrative examples. This is followed by sets of solved and supplementary problems. The problems
cover a range of levels of difficulty. Some problems focus on fine points, which helps the student to better
apply the basic principles correctly and confidently. The supplementary problems are generally more
numerous and give the reader an opportunity to practice problem-solving skills. Answers are provided
with each supplementary problem.
The book begins with fundamental definitions, circuit elements including dependent sources, circuit
laws and theorems, and analysis techniques such as node voltage and mesh current methods. These
theorems and methods are initially applied to DC-resistive circuits and then extended to RLC circuits by
the use of impedance and complex frequency. Chapter 5 on amplifiers and op amp circuits is new. The op
amp examples and problems are selected carefully to illustrate simple but practical cases which are of
interest and importance in the student’s future courses. The subject of waveforms and signals is also
treated in a new chapter to increase the student’s awareness of commonly used signal models.
Circuit behavior such as the steady state and transient response to steps, pulses, impulses, and
exponential inputs is discussed for first-order circuits in Chapter 7 and then extended to circuits of
higher order in Chapter 8, where the concept of complex frequency is introduced. Phasor analysis,
sinuosidal steady state, power, power factor, and polyphase circuits are thoroughly covered. Network
functions, frequency response, filters, series and parallel resonance, two-port networks, mutual induc-
tance, and transformers are covered in detail. Application of Spice and PSpice in circuit analysis is
introduced in Chapter 15. Circuit equations are solved using classical differential equations and the
Laplace transform, which permits a convenient comparison. Fourier series and Fourier transforms and
their use in circuit analysis are covered in Chapter 17. Finally, two appendixes provide a useful summary
of the complex number system, and matrices and determinants.
This book is dedicated to our students from whom we have learned to teach well. To a large degree it
is they who have made possible our satisfying and rewarding teaching careers. And finally, we wish to
thank our wives, Zahra Nahvi and Nina Edminister for their continuing support, and for whom all these
efforts were happily made.
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