Computer Science

Linear Circuit Theory
Matrices in Computer Applications

Jiri Vlach, PhD

Linear Circuit Theory

Published. Available now.
Pub Date: March 2014
Hardback Price: $129.95 US
Hard ISBN: 9781926895611
Pages: 464pp
Binding Type: hardbound

“This is a solid book in basic circuit analysis. It presents all necessary material on the topic in a comprehensive way with various examples, using extensive use of matrix analysis, which is unique for such a circuit analysis textbook. The author, Prof. Jiri Vlach, is a renowned expert in analog circuits, especially in the area of circuit solution techniques, which is a topic very well treated in this interesting textbook.”
—Claudio Cañizares, PhD, Professor, Hydro One Endowed Chair and Associate Director, Waterloo Institute for Sustainable Energy, University of Waterloo, Canada

"I found Vlach's book Linear Circuit Theory: Matrices in Computer Applications one of the few books that provides a smooth transition from learning circuit theory at the beginner's level to a more senior level. This is possible because of the attention given to matrix based analysis and nodal formulation of networks. The detailed solution manual is a bonus. I highly recommend this book."
—Praveen K. Jain, FRSC, FIEEE, FEIC, FCAE, Professor and Canada Research Chair, Director, Queen’s Centre for Energy and Power Electronics Research, Department of Electrical & Computer Engineering, Queen’s University, Kingston, Ontario, Canada

This comprehensive new book, Linear Circuit Theory: Matrices in Computer Applications, covers all subjects on linear network theory, with the emphasis on learning the subject without an excessive amount of information. This unique approach stresses knowledge rather than computer use to start and differs from other books by introducing matrix algebra early in the book, The book’s 290 problems are meant to be solved using matrix algebra, which provides the reader with a strong foundation on which to build. A solutions manual is available as well (ISBN: 978-1-77188-022-0).

Practical designs are always done on computers and by the use of matrix algebra. By mastering matrix algebra, readers can use that knowledge across computer programs and across disciplines. The book also aims to prepare readers for later studies in nonlinear networks.

The book is suitable for courses and study on active networks, sensitivities, Laplace transformation, specifically, as well as in engineering courses.

The book
• covers all subjects of linear network theory
• briefly introduces problems of nonlinear networks and their solution
• shows how the network equations are prepared for computers using the modified nodal formulation
• is suitable for several courses of undergraduate electrical engineering studies
• has a complete solutions manual of all problems given in the text

Chapter 1: Basic Concepts
1.1. Voltages and currents
1.1.2. Network elements
1.2.1. Independent voltage and current sources
1.2.2 Resistor
1.2.3. Capacitor
1.2.4. Inductor
1.2.5. Dependent sources
1.2.6. Transformer
1.2.7. Operational amplifier
1.2.8. Other elements
1.2.9. Units and their prefixes
1.2.10. Examples of networks 1
1.3. Independent voltage and current sources
1.4. Resistors and Ohm’s law
1.5. Power and energy
1.6. Kirchhoff’s Laws
1.6.1. Kirchhoff current law
1.6.2. Kirchhof voltage law
1.7. Connections of resistors

Chapter 2: Nodal and Mesh Analysis
2.1. Nodal analysis
2.2. Mesh analysis

Chapter 3: Matrix Methods
3.1. Linear equations in matrix form
3.2. Determinants
3.3. Matrix inversion
3.4. Cramer’s rule
3.5. Expansion of determinants
3.6. Solutions of resistive networks

Chapter 4: Dependent Sources
4.1. Voltage controlled current source
4.2. Current controlled voltage source
4.3. Current controlled current source
4.4. Voltage controlled voltage source
4.5 Summary of dependent sources

Chapter 5: Network Transformations
5.1. Transformations of sources
5.2. Transformations of controlling terminals
5.3. Splitting of sources
5.4. Superposition principle
5.5. Input and output resistance
5.6. Thevenin and Norton theorems
5.7. Operational amplifiers
5.8. Recommendations

Chapter 6: Capacitors and Inductors
6.1. Capacitors
6.2. Connections of capacitors
6.3. Inductors
6.4. Connections of inductors

Chapter 7: Networks with Capacitors and Inductors
7.1. Impedances and admittances
7.2. Networks with capacitors
7.3. Networks with inductors
7.4. Networks with capacitors and inductors

Chapter 8: Frequency Domain
8.1. Sinusoidal signals and phasors
8.2. Frequency domain analysis
8.3. RC and RL networks
8.4. RLC networks
8.5. Phasors and power

Chapter 9: Laplace Transformation
9.1. Definition of the Laplace transformation
9.2. Simple functions and their transformations
9.3 Rational functions with simple poles
9.3.1. Decomposition usintg real arithmetic
9.3.2. Decomposition using complex arithmetic
9.3.3. Residues of simple poles
9.4. Decomposition with multiple poles
9.5. Laplace transform operations
9.5.1. Differentiation
9.5.2. Integration
9.5.3. Initial and final value theorems
9.5.4. Scaling in the time domain
9.5.5. Delay
9.6. Signals and networks

Chapter 10: Time Domain
10.1. Networks with capacitors
10.1.1. Capacitors without initial conditions
10.1.2. Capacitors with intitial conditions
10.2. Networks with inductors
10.2.1. Inductors without initial conditions
10.2.2. Inductors with initial conditions
10.3. RLC circuits

Chapter 11: Network Functions
11.1. Definition of network functions
11.2. Poles, zeros and stability
11.3. Frequency responses from poles and zeros

Chapter 12: Active Networks
12.1. Amplifiers and operational amplifiers
12.2. Principles of active network analysis
12.3. Networks with finite-gain amplifiers
12.4. Networks with ideal opamps
12.5. Networks with nonideal opamps
12.6. Practical use of RC active networks

Chapter 13: Two-Ports
13.1. Definition of two-ports
13.1.1. Impedance parameters
13.1.2. Admittance parameters
13.2. Two-ports with load

Chapter 14: Transformers
14.1. Principle of transformers
14.2. Coupling coefficient
14.3. Perfect and ideal transformers
14.4. Networks with transformers
14.5. Equivalent transformer networks
14.6. Double tuned circuits

Chapter 15: Modeling and Numerical Methods
15.1. Modeling of sources
15.2. Linear amplifiers
15.3. Linear transistor models
15.3.1. Field-effect transistor
15.3.2. Bipolar transistor
15.4. Nonlinear elements
15.4.1. Diode
15.4.2. Field-effect transistor
15.5. Networks with nonlinear elements
15.6. Newton-Raphson iterative method
15.7. Solutions of nonlinear networks
15.8. Numerical time domain responses

Chapter 16: Sensitivities
16.1. Motivation
16.2. Definition of sensitities
16.3. Sensititivites of tunec circuits
16.4. Network funnktion sensitivity
16.5. Sensitivities of Q and ω 0
16.6. Sensitivity of poles and zeros
16.7. Sensitivities of operational amplifiers

Chapter 17: Modified Nodal Formulation
17.1. Passive elements
17.2. Independent sources
17.3. Controlled sources
17.4. Special elements
17.4.1. Ideal Operational Amplifier
17.4.2. Transformer with two coils
17.5. Computer application

Chapter 18: Fourier Series and Transformation
18.1. Fourier series
18.2. Fourier integral

Appendix: Scaling of Linear Networks

About the Authors / Editors:
Jiri Vlach, PhD
Distinguished Professor Emeritus, Dept. of Electrical and Computer Engineering, University of Waterloo, Ontario, Canada

Jiri Vlach, PhD, is a Distinguished Professor Emeritus of Electrical and Computer Engineering at the University of Waterloo in Ontario, Canada. He was a visiting professor at the University of Illinois, Urbana. A Life Fellow of the IEEE, he has written several books on circuit analysis and design. He received his PhD equivalent degree in Prague, Czech Republic.

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