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Summary
Summary
Foundation Title. Electric Circuits is the most widely used introductory circuits textbook of the past decade. The book has remained popular due to its success in implementing three themes throughout the text: (1) It builds an understanding of concepts based on information the student has previously learned; (2) The text helps stress the relationship between conceptual understanding and problem-solving approaches; (3) The authors provide numerous examples and problems that use realistic values and situations to give students a strong foundation of engineering practice.
Author Notes
Professor JAMES W. NILSSON taught at Iowa State University for 39 years. Since retiring from Iowa State, he has been a visiting professor at Notre Dame, California Polytechnic at San Luis Obispo, and the United States Air Force Academy. In 1962, he co-authored (with R.G. Brown) Introduction to Linear Systems Analysis (John Wiley & Sons). In 1968, he authored Introduction to Circuits, Instruments, and Electronics (Harcourt Brace and World).
Professor Nilsson received a Standard Oil Outstanding Teacher Award in 1968, the IEEE Undergraduate Teaching Award in 1992, and the McGraw-Hill Jacob Millman Award in 1995. In 1990, he was elected to the rank of Fellow in the Institute of Electrical and Electronics Engineers.
Professor SUSAN A. RIEDEL has been a member of the Department of Electrical and Computer Engineering at Marquette University since 1981. She also holds a clinical research appointment in the Department of Orthopaedics at the Medical College of Wisconsin and was a visiting professor in the Bioengineering Unit at the University of Strathclyde, Glasgow, Scotland, as a Fulbright Scholar during the 1989-90 academic year. She has received two awards for teaching excellence at Marquette, and was recognized for her research contributions with an award from the Chicago Unit of the Shriner's Hospitals.
Table of Contents
| 1 Circuit Variables |
| Electrical Engineering: An Overview |
| The International System of Units |
| Circuit Analysis: An Overview |
| Voltage and Current |
| The Ideal Basic Circuit Element |
| Power and Energy |
| 2 Circuit Elements |
| Voltage and Current Sources |
| Electrical Resistance (Ohm''s Law) |
| Construction of a Circuit Model |
| Kirchhoff''s Laws |
| Analysis of a Circuit Containing Dependent Sources |
| 3 Simple Resistive Circuits |
| Resistors in Series |
| Resistors in Parallel |
| The Voltage-Divider Circuit |
| The Current-Divider Circuit |
| Measuring Voltage and Current |
| The Wheatstone Bridge |
| Delta-to-Wye (Pi-to-Tee) Equivalent Circuits |
| 4 Techniques of Circuit Analysis |
| Terminology |
| Introduction to the Node-Voltage Method |
| The Node-Voltage Method and Dependent Sources |
| The Node-Voltage Method: Some Special Cases |
| Introduction to the Mesh-Current Method |
| The Mesh-Current Method and Dependent Sources |
| The Mesh-Current Method: Some Special Cases |
| The Node-Voltage Method Versus the Mesh-Current Method |
| Source Transformations |
| Thévenin and Norton Equivalents |
| More on Deriving a Thévenin Equivalent |
| Maximum Power Transfer |
| Superposition |
| 5 The Operational Amplifier |
| Operational Amplifier Terminals |
| Terminal Voltages Currents |
| The Inverting-Amplifier Circuit |
| The Summing-Amplifier Circuit |
| The Noninverting-Amplifier Circuit |
| The Difference-Amplifier Circuit |
| A More Realistic Model for the Operational Amplifier |
| 6 Inductance, Capacitance, and Mutual Inductance |
| The Inductor |
| The Capacitor |
| Series-Parallel Combinations of Inductance and Capacitance |
| Mutual Inductance |
| A Closer Look at Mutual Inductance |
| 7 Response of First-Order RL and RC Circuits |
| The Natural Response of an RL Circuit |
| The Natural Response of an RC Circuit |
| The Step Response of RL and RC Circuits |
| A General Solution for Step and Natural Responses |
| Sequential Switching |
| Unbounded Response |
| The Integrating Amplifier |
| 8 Natural and Step Responses of RLC Circuits |
| Introduction to the Natural Response of a Parallel RLC Circuit |
| The Forms of the Natural Response of a Parallel RLC Circuit |
| The Step Response of a Parallel RLC Circuit |
| The Natural and Step Response of a Series RLC Circuit |
| A Circuit with Two Integrating Amplifiers |
| 9 Sinusoidal Steady-State Analysis |
| The Sinusoidal Source |
| The Sinusoidal Response |
| The Phasor |
| The Passive Circuit Elements in the Frequency Domain |
| Kirchhoff''s Laws in the Frequency Domain |
| Series, Parallel, and Delta-to-Wye Simplifications |
| Source Transformations and Thévenin-Norton Equivalent Circuits |
| The Node-Voltage Method |
| The Mesh-Current Method |
| The Transformer |
| The Ideal Transformer |
| Phasor Diagrams |
| 10 Sinusoidal Steady-State Power Calculations |
| Instantaneous Power |
| Average and Reactive Power |
| The rms Value and Power Calculations |
| Complex Power |
| Power Calculations |
| Maximum Power Transfer |
| 11 Balanced Three-Phase Circuits |
| Balanced Three-Phase Voltages |
| Three-Phase Voltage Sources |
| Analysis of the Wye-Wye Circuit |
| Analysis of the Wye-Delta Circuit |
| Power Calculations in Balanced Three-Phased Circuits |
| Measuring Average Power in Three-Phase Circuits |
| 12 Introduction to the Laplace Transform |
| Definition of the Laplace Transform |
| The Step Function |
| The Impulse Function |
| Functional Transforms |
| Operational Transforms |
| Applying the Laplace Transform |
| Inverse Transforms |
| Pole and Zeros of F (s) |
| Initial- and Final-Value Theorems |
| 13 The Laplace Transform in Circuit Analysis |
| Circuit Elements in the s Domain |
| Circuit Analysis in the s Domain |
| Applications |
| The Transfer Function |
| The Transfer Function in Partial Fraction Expansions |
| The Transfer Function and the Convolution Integral |
| The Transfer Function and the Steady-State Sinusoidal Response |
| The Impulse Function in Circuit Analysis |
| 14 Introduction to Frequency-Selective Circuits |
| Some Preliminaries |
| Low-Pass Filters |
| High-Pass Filters |
| Bandpass Filters |
| Bandreject Filters |
| Bode Diagrams |
| Bode Diagrams: Complex Poles and Zeros |
| 15 Active Filter Circuits |
| First-Order Low-Pass and High-Pass Filters |
| Scaling |
| Op Amp Bandpass and Bandreject Filters |
| Higher Order Op Amp Filters |
| Narrowband Bandpass and Bandreject Filters |
| 16 Fourier Series |
| Fourier Series Analysis: An Overview |
| The Fourier Coefficients |
| The Effect of Symmetry on the Fourier Coefficients |
| An Alternative Trigonometric Form of the Fourier Series |
| An Application |
| Average-Power Calculations with Periodic Functions |
| The RMS Value of a Periodic Function |
| The Exponential Form of the Fourier Series |
| Amplitude and Phase Spectra |
| 17 The Fourier Transform |
| The Derivation of the Fourier Transform |
| The Convergence of the Fourier Integral |
| Using Laplace Transforms to Find Fourier Transforms |
| Fourier Transforms in the Limit |
| Some Mathematical Properties |
| Operational Transforms |
| Circuit Applications |
| Parseval''s Theorem |
| 18 Two-Port Circuits |
| The Terminal Equations |
| The Two-Port Parameters |
| Analysis of the Terminated Two-Port Circuit |
| Interconnected Two-Port Circuits |
| Appendix A The Solution of Linear Simultaneous Equations |
| Preliminary Steps |
| Cramer''s Method |
| The Characteristic Determinant |
| The Numerator Determinant |
| The Evaluation of a Determinant |
| Matrices |
| Matrix Algebra |
| Identity, Adjoint, and Inverse Matrices |
| Partitioned Matrices |
| Applications |
| Appendix B Complex Numbers |
| Notation |
| The Graphical Representation of a Complex Number |
| Arithmetic Operations |
| Useful Identities |
| The Integer Power of a Complex Number |
| The Roots of a Complex Number |
| Appendix C More on Magnetically Coupled Coils and Ideal Transformers |
| Equivalent Circuits for Magnetically Coupled Coils |
| The Need for Ideal Transformers in the Equivalent Circuits |
| Appendix D The Decibel |
| Appendix E An Abbreviated Table of Trigonometric Identities |
| Appendix F An Abbreviated Table of Integrals |
| Index |
