Circuit Theory for Electrical Engineers
Circuit Theory for Electrical Engineers
About the Book
Circuit Theory for Electrical Engineers is a text for undergraduate programs in EE. The book covers a breadth starting from early concepts, all the way to modern design. The book has a keen focus on working with the mathematical rigor one expects at the university level, while demonstrating concepts through hands-on computational tools like Octave. The text carries the reader from graph theory and Kirchoff's laws, through circuit analysis techniques, circuit simulation techniques, microwave circuit analysis tools, to circuit synthesis. The text also delivers a large part of mathematics required for modern electrical engineers. The book has been the outcome of several iterations of the Circuit Theory course for second-year undergraduates at IIT Delhi. A student of this text will be well prepared for advanced courses in communications, control theory, power electronics, power systems, analog electronics and VLSI.
About the Author
Table of Contents
Circuit theory for Electrical Engineers
Contents
- 1 Graph theory in circuits
- 2 Network theorems
- 3 Sinusoidal steady-state analysis
- 4 Transient analysis
- 4.1 Modified node analysis for general dynamic circuits
- 4.2 First order circuits
- 4.3 Second order circuits
- 4.4 Higher order systems
- 4.5 The matrix exponential
- 4.6 The Laplace transform
- 4.6.1 Important properties of the Laplace transform
- 4.6.2 A few important Laplace transforms
- 4.6.3 Partial fraction expansions for inverse Laplace transforms
- 4.6.4 Solving a differential equation using Laplace transforms
- 4.6.5 Directly solving a circuit using Laplace transforms
- 4.6.6 Solving the state-space equation using Laplace transforms
- 5 Numerical transient analysis
- 6 Two port networks
- 6.1 General idea behind two-port analyses
- 6.2 Impedance (Z) parameters
- 6.3 Conductance (Y) parameters
- 6.4 Star-Delta and Delta-Star conversion
- 6.5 Hybrid (H) parameters
- 6.6 Inverse hybrid (G) parameters
- 6.7 Input and output impedance
- 6.8 Transfer function
- 6.9 Circuit configurations
- 6.10 Multi-port networks
- 6.11 Transmission parameters
- 6.12 Important concepts
- 7 Transmission lines
- 7.1 The general distributed circuit
- 7.2 Analysis technique
- 7.3 The wave equation
- 7.4 Putting it all together
- 7.5 Interpretation of the solution
- 7.6 Reflection coefficient
- 7.7 The response to a pulse
- 7.8 Numerical simulation
- 7.9 Steady-state sinusoid stimulation
- 7.10 Quarter-wavelength lines
- 7.11 Lossy transmission lines
- 7.12 Smith charts
- 7.13 Important concepts
- 8 The scattering matrix
- 9 Complex Analysis in Circuit Theory
- 10 Elements of circuit synthesis
- A Z-transforms
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