The Analysis and Design of Linear Circuits, 10th Edition

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The Analysis and Design of Linear Circuits, 10th Edition

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THE ANALYSIS AND DESIGN OF LINEAR CIRCUITS

Textbook covering the fundamentals of circuit analysis and design, now with additional examples, exercises, and problems

The Analysis and Design of Linear Circuits, 10^th Edition, taps into engineering students desire to explore, create, and put their learning into practice by presenting linear circuit theory, with an emphasis on circuit analysis and how to evaluate competing designs. The text integrates active and passive linear circuits, allowing students to understand and design a wide range of circuits, solve analytical problems, and devise solutions to problems.

The authors use both phasors and Laplace techniques for AC circuits, enabling better understanding of frequency response, filters, AC power, and transformers. The authors have increased the integration of MATLAB^® and Multisim in the text and revised content to be up-to-date with technology when appropriate. The text uses a structured pedagogy where objectives are stated in each chapter opener and examples and exercises are developed so that the students achieve mastery of each objective. The available problems revisit each objective and a suite of problems of increasing complexity task the students to check their understanding.

Topics covered in The Analysis and Design of Linear Circuits, 10^th Edition, include:

Basic circuit analysis, including element, connection, combined, and equivalent circuits, voltage and current division, and circuit reduction
Circuit analysis techniques, including node-voltage and mesh-current analysis, linearity properties, maximum signal transfer, and interface circuit design
Signal waveforms, including the step, exponential, and sinusoidal waveforms, composite waveforms, and waveform partial descriptors
Laplace transforms, including signal waveforms and transforms, basic properties and pairs, and pole-zero and Bode diagrams
Network functions, including network functions of one- and two-port circuits, impulse response, step response, and sinusoidal response
An appendix that lists typical RLC component values and tolerances along with a number of reference tables and OP AMP building blocks that are foundational for analysis and design.

With an overarching goal of instilling smart judgment surrounding design problems and innovative solutions, The Analysis and Design of Linear Circuits, 10^th Edition, provides inspiration and motivation alongside an essential knowledge base. The text is designed for two semesters and is complemented with robust supplementary material to enhance various pedagogical approaches, including an Instructors Manual which features an update on how to use the book to complement the 2022-23 ABET accreditation criteria, 73 lesson outlines using the new edition, additional Instructor Problems, and a Solutions Manual.

About the Author

Dr. Roland E. Thomas was the visionary behind this text. He pioneered the use of OP AMPs in basic circuits, the early use of Laplace for analyzing AC circuits, and the use of competing filter realizations to help students achieve optimum designs. His integration of Bloom’s Taxonomy was a novel and valued approach for ensuring students attain competence in various topics. Ron passed away in 2019, but his vision continues in this edition.

Dr. Albert J. Rosa has 44 years of experience in practicing engineering, education and teaching, with nine years spent at the US Air Force Academy in the Electrical Engineering Department finishing as Professor and Head, and an additional eight years as Distinguished Visiting Professor and Erdle Fellow, and 17 years as Chair of the Engineering Department at the University of Denver, USA. He served 25 years as an ABET program evaluator for IEEE and ASEE.

Dr. Gregory J. Toussaint has 33 years of experience as a practicing engineer, including seven years teaching electrical engineering at the US Air Force Academy in the Electrical Engineering Department and at the graduate level at the Air Force Institute of Technology, Department of Electrical and Computer Engineering.

Table of Contents

Contents

c Hapter 1 Introduction 1

1 – 1 About This Book 2

1 – 2 Symbols and Units 4

1 – 3 Circuit Variables 5

1 – 4 Computational and Simulation Software Introduction 11

S Ummary 12

P Roblems P- 1

I Ntegrating P Roblems P- 2

c Hapter 2 Basic circuit Analysis 15

2 – 1 Element Constraints 16

2 – 2 Connection Constraints 21

2 – 3 Combined Constraints 28

2 – 4 Equivalent Circuits 35

2 – 5 Voltage and Current Division 43

2 – 6 Circuit Reduction 52

2 – 7 Computer-Aided Circuit Analysis 56

S Ummary 62

P Roblems P- 5

I Ntegrating P Roblems P- 13

c Hapter 3 circuit Analysis Techniques 63

3 – 1 Node-Voltage Analysis 64

3 – 2 Mesh-Current Analysis 80

3 – 3 Linearity Properties 88

3 – 4 Thévenin and Norton Equivalent Circuits 98

3 – 5 Maximum Signal Transfer 109

3 – 6 Interface Circuit Design 112

S Ummary 124

P Roblems P- 17

I Ntegrating P Roblems P- 27

xiii

c Hapter 4 Active circuits 125

4 – 1 Linear Dependent Sources 126

4 – 2 Analysis of Circuits with Dependent Sources 127

4 – 3 The Operational Amplifier 149

4 – 4 OP AMP Circuit Analysis 157

4 – 5 OP AMP Circuit Design 174

4 – 6 OP AMP Circuit Applications 181

S Ummary 206

P Roblems P- 31

I Ntegrating P Roblems P- 42

c Hapter 5 Signal Waveforms 207

5 – 1 Introduction 208

5 – 2 The Step Waveform 209

5 – 3 The Exponential Waveform 214

5 – 4 The Sinusoidal Waveform 220

5 – 5 Composite Waveforms 227

5 – 6 Waveform Partial Descriptors 234

S Ummary 240

P Roblems P- 45

I Ntegrating P Roblems P- 50

c Hapter 6 capacitance and Inductance 241

6 – 1 The Capacitor 242

6 – 2 The Inductor 249

6 – 3 Dynamic OP AMP Circuits 256

6 – 4 Equivalent Capacitance and Inductance 265

S Ummary 269

P Roblems P- 53

I Ntegrating P Roblems P- 58

c Hapter 7 First- and Second-order circuits 271

7 – 1 RC and RL Circuits 272

7 – 2 First-Order Circuit Step Response 284

7 – 3 Initial and Final Conditions 293

7 – 4 First-Order Circuit Response to Exponential and Sinusoidal Inputs 300

7 – 5 The Series RLC Circuit 309

7 – 6 The Parallel RLC Circuit 320

7 – 7 Second-Order Circuit Step Response 325

S Ummary 336

P Roblems P- 61

I Ntegrating P Roblems P- 69

c Hapter 8 Sinusoidal Steady-state Response 337

8 – 1 Sinusoids and Phasors 338

8 – 2 Phasor Circuit Analysis 344

8 – 3 Basic Phasor Circuit Analysis and Design 350

8 – 4 Circuit Theorems with Phasors 366

8 – 5 General Circuit Analysis with Phasors 379

8 – 6 Energy and Power 394

S Ummary 399

P Roblems P- 73

I Ntegrating P Roblems P- 82

c Hapter 9 Laplace Transforms 401

9 – 1 Signal Waveforms and Transforms 402

9 – 2 Basic Properties and Pairs 406

9 – 3 Pole-Zero Diagrams 414

9 – 4 Inverse Laplace Transforms 417

9 – 5 Circuit Response Using Laplace Transforms 428

9 – 6 Initial and Final Value Properties 436

S Ummary 439

P Roblems P- 85

I Ntegrating P Roblems P- 89

c HAPTER 10 s-DOMAIN cIRcUIT ANALYSIS 441

10– 1 Transformed Circuits 442

10– 2 Basic Circuit Analysis in the s Domain 451

10– 3 Circuit Theorems in the s Domain 457

10– 4 Node-Voltage Analysis in the s Domain 467

10– 5 Mesh-Current Analysis in the s Domain 476

10– 6 Summary of s -Domain Circuit Analysis 482

S Ummary 486

P Roblems P- 93

I Ntegrating P Roblems P- 101

c Hapter 11 Network Functions 487

11– 1 Definition of a Network Function 488

11– 2 Network Functions of One- and Two-Port Circuits 491

11– 3 Network Functions and Impulse Response 503

11– 4 Network Functions and Step Response 506

11– 5 Network Functions and Sinusoidal Steady-State Response 510

11– 6 Impulse Response and Convolution 519

11– 7 Network Function Design and Evaluation 525

S Ummary 540

P Roblems P- 105

I Ntegrating P Roblems P- 112

c Hapter 12 Frequency Response 543

12– 1 The Electromagnetic Spectrum and Frequency-Response Descriptors 544

12– 2 Bode Diagram Descriptors 547

12– 3 First-Order Low-Pass and High-Pass Responses 549

12– 4 Bandpass and Bandstop Responses 566

12– 5 The Frequency Response of RLC Circuits 574

12– 6 Bode Diagrams 584

12– 7 Frequency Response and Step Response 596

S Ummary 602

P Roblems P- 115

I Ntegrating P Roblems P- 122

c Hapter 13 Fourier Series 603

13– 1 Overview of Fourier Series 604

13– 2 Fourier Coefficients 605

13– 3 Waveform Symmetries 615

13– 4 Circuit Analysis Using the Fourier Series 617

13– 5 RMS Value and Average Power 626

S Ummary 633

P Roblems P- 127

I Ntegrating P Roblems P- 131

c Hapter 14 Active Filter Design 635

14– 1 Active Filters 636

14– 2 Second-Order Low-Pass and High-Pass Filters 637

14– 3 Second-Order Bandpass and Bandstop Filters 646

14– 4 Low-Pass Filter Design 656

14– 5 Low-Pass Filter Evaluation 677

14– 6 High-Pass Filter Design and Evaluation 682

14– 7 Bandpass and Bandstop Filter Design 694

S Ummary 700

P Roblems P- 133

I Ntegrating P Roblems P- 137

c Hapter 15 Mutual Inductance and Transformers 701

15– 1 Coupled Inductors 702

15– 2 The Dot Convention 704

15– 3 Energy Analysis 709

15– 4 The Ideal Transformer 711

15– 5 Linear Transformers 719

S Ummary 726

P Roblems P- 141

I Ntegrating P Roblems P- 143

c Hapter 16 Ac Power Systems 729

16– 1 Average and Reactive Power 730

16– 2 Complex Power 732

16– 3 Single-Phase Circuit Analysis 735

16– 4 Single-Phase Power Flow 740

16– 5 Balanced Three-Phase Circuits 745

16– 6 Three-Phase Circuit Analysis 750

16– 7 Three-Phase Power Flow 763

S Ummary 766

P Roblems P- 145

I Ntegrating P Roblems P- 150

c Hapter 17 Two-port Networks 767

17– 1 Introduction 768

17– 2 Impedance Parameters 769

17– 3 Admittance Parameters 772

17– 4 Hybrid Parameters 774

17– 5 Transmission Parameters 777

17– 6 Two-Port Conversions and Connections 780

S Ummary 785

P Roblems P- 151

I Ntegrating P Roblems P- 153

c Hapter 18 Fourier Transforms 787

18– 1 Introduction to Fourier Transforms 788

18– 2 Circuit Analysis Using Fourier Transforms 803

18– 3 Impulse Response and Convolution 806

18– 4 Parseval’ sTheorem 809

S Ummary 814

P Roblems P- 155

I Ntegrating P Roblems P- 157

Appendix a Solution of Linear Equations A- 1

Appendix B Butterworth and Chebyshev Poles B- 1

Appendix C Behaviorally Motivated Learning C- 1

Appendix D Computational Tools D- 1

Appendix E SOLUTIONS TO EXERCISES (Available online) E- 1

Appendix F Complex Numbers F- 1

Appendix G Standard Values and References G- 1

Appendix H Answers to Selected Problems H- 1

Index I- 1

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