Desoer Charles А., Kuh Ernest S. Basic Circuit Theory

McGraw-Hill Higher Education, 1969. — 886 p.This book covers most of the material taught in conventional circuit courses.
This book is an outgrowth of a course intended for upper division students in electrical engineering.
The course is 20 weeks long and consists of three lectures and one two hour recitation per week. Included in the book are enough additional materials to accommodate a full year's course. We assume that students have completed work in basic physics and mathematics, including some introduction to differential equations and some acquaintance with matrices and determinants.
Previous exposure to some circuit theory and to electronic circuits is helpful, but not necessary.
Although this book covers most of the material taught in conventional circuit courses, the point of view from which it is considered is significantly different. The most important feature of this book is a novel formulation of lumped circuit theory which accommodates linear and nonlinear, time invariant and time varying, and passive and active circuits. In this way, fundamental concepts and the basic results of circuit theory are presented within a framework which is sufficiently genera to reveal their scope and their power.
We want to give the student an ability to write the differential equations of any reasonably complicated circuit, including ones with nonlinear and time varying elements. Our aim is to give him an ability to approach any lumped circuit knowing which facts of circuit theory apply and which do not, so that he can effectively use his knowledge of circuit theory as a predictive tool in design and in the laboratory.
These aims require an overhaul of the traditional teaching of circuit theory.
The main reason that such an overhaul became mandatory is that in recent years science and technology have been advancing at unbelievable speeds, and the development of new electronic devices has paced this advance in a dramatic fashion. As a consequence, we must not only teach the basic facts and techniques that are usable today, but we must also give the fundamental concepts required to understand and tackle the engineering problems of tomorrow.
In the past decade, the engineering of large sophisticated systems has made great strides, with concomitant advances in communications and control. Thus a modern Curriculum requires that a course in basic circuit theory introduce the student to some basic concepts of system theory, to the idea of stability, to the modeling of device, and to the analysis of electronic circuits. In such a course the student should be exposed early to nonlinear and time varying circuit elements, biasing circuits, and small signal analysis.Lumped Circuits and Kirchhoffs Laws.
Lumped circuits.
Reference directions.
Kirchhoffs current law (KCL).
Kirchhoff s voltage law (KVL).
Wavelength and dimension of the circuit.
Circuit Elements.
Resistors.
Independent sources.
Capacitors.
Inductors.
Summary of two-terminal elements.
Power and energy.
Physical components versus circuit elements.
Simple Circuits.
Series connection of resistors.
Parallel connection of resistors.
Series and parallel connection of resistors.
Small-signal analysis.
Circuits with capacitors or inductors.
First-order Circuits.
Linear time-invariant first-order circuit, zero-input response.
Zero-state response.
Complete response: transient and steady-state.
The linearity of the zero-state response.
Linearity and time invariance.
Impulse response.
Step and impulse response for simple circuits.
Time-varying circuits and nonlinear circuits.
Second-order Circuits.
Linear time-invariant RLC circuit, zero-input response.
Linear time-invariant RLC circuit, zero-state response.
The state-space approach.
Oscillation, negative resistance, and stability.
Nonlinear and time-varying circuits.
Dual and analog circuits.
Introduction to Linear Time-inveriant Circuits.
Some general definitions and properties.
Node and mesh analyses.
Input-output representation (nth-order differential equation).
Response to an arbitrary input.
Computation of convolution integrals.
Sinusoidal Steady-state Analysis.
Review of complex numbers.
Phasors and ordinary differential equations.
Complete response and sinusoidal steady-state response.
Concepts of impedance and admittance.
Sinusoidal steady-state analysis of simple circuits.
Resonant circuits.
Power in sinusoidal steady state.
Impedance and frequency normalization.
Coupling Elements and Coupled Circuits.
Coupled inductors.
Ideal transformers.
Controlled sources.
Network Graphs and Tellegen’s Theorem.
The concept of a graph.
Cut sets and Kirchhoff’s current law.
Loops and Kirchhoff’s voltage law.
Tellegen’s theorem.
Applications.
Node and Mesh Analyses.
Source transformations.
Two basic facts of node analysis.
Node analysis of linear time-invariant networks.
Duality.
Two basic facts of mesh analysis.
Mesh analysis of linear time-invariant networks.
Loop and Cut-set Analysis.
Fundamental theorem of graph theory.
Loop analysis.
Cut-set analysis.
Comments on loop and cut set analysis.
Relation between В and Q.
State Equations.
Linear time-invariant networks.
The concept of state.
Nonlinear and time-varying networks.
State equations for linear time-invariant networks.
Laplace Transforms.
Definition of the Laplace transform.
Basic properties of the Laplace transform.
Solutions of simple circuits.
Solution of general networks.
Fundamental properties of linear time-invariant networks.
State equations.
Degenerate networks.
Sufficient conditions for uniqueness.
Natural Frequencies.
Natural frequency of a network variable.
The elimination method.
Natural frequencies of a network.
Natural frequencies and state equations.
Network Functions.
Definition, examples, and general property.
Poles, zeros, and frequency response.
Poles, zeros, and impulse response.
Physical interpretation of poles and zeros.
Application to oscillator design.
Symmetry properties.
Network Theorems.
The substitution theorem.
The superposition theorem.
Thevenin-Norton equivalent network theorem.
The reciprocity theorem.
Two-ports.
Review of one-ports.
Resistive two-ports.
Transistor examples.
Coupled inductors.
Impedance and admittance matrices of two-ports.
Other two-port parameter matrices.
Resistive Networks.
Physical networks and network models.
Analysis of resistive networks from a PowerPoint of view.
The voltage gain and the current gain of a resistive network.
Energy and Passivity.
Linear time-varying capacitor.
Energy stored in nonlinear time-varying elements.
Passive one-ports.
Exponential input and exponential response.
One-ports made of passive linear time-invariant elements.
Stability of passive networks.
Parametric amplifier.
Appendixes:
Functions and Linearity.
Matrices and Determinants.
Differentia! Equations.