[PDF] Teach Yourself Algebra for Electric Circuits by Jenkins

Algebra for Electric Circuits Contents

CHAPTER 1 Electric Charge and Electric Field. Potential Difference

• Electrification and Electric Charge
• Coulomb’s Law and the Unit of Charge 
• Electric Field Strength 
• Potential difference; the Volt

CHAPTER 2 Electric Current. Ohm’s Law. Basic Circuit Configurations

• Electric Current 
• Electromotive Force 
• Electrical Resistance. Ohm’s Law. Power 
• Some Notes on Temperature Effects
• The Series Circuit 
• The Parallel Circuit 
• Series-Parallel Circuits

CHAPTER 3 Determinants and Simultaneous Equations

• Introduction to Determinants 
• The Second-Order Determinant 
• Minors and Cofactors. Value of any nth-Order Determinant 
• Some Important Properties of Determinants 
• Determinant Solution of Linear Simultaneous Equations 
• Systems of Homogeneous Linear Equations

CHAPTER 4 Basic Network Laws and Theorems

• Introduction
•  Kirchhoff’s Current Law
• Kirchhoff’s Voltage Law 
• The Method of Loop Currents 
• Conductance. Millman’s Theorem
• Thevenin’s Theorem 
• Norton’s Theorem
• The Method of Node Voltages

CHAPTER 5 Sinusoidal Waves. RMS Value. As Vector Quantities

• Introduction
• The Sinusoidal Functions and the Tangent Function
• Graphics. Extension beyond 90 Degrees, Positive and Negative
• Choice of Waveform. Frequency. The Radian
• Power; RMS Value of a Sine Wave of Voltage or Current 
• Sinusoidal Voltages and Currents as Vectors 
• Power Calculations 
• Application of Loop Currents

CHAPTER 6 Algebra of Complex Numbers

• Imaginary Numbers 
• Complex Numbers. Addition and Multiplication
• Conjugates and Division of Complex Numbers 
• Graphical Representation of Complex Numbers 
• Exponential Form of a Complex Number 
• Operations in the Exponential and Polar Forms. De Moivre’s Theorem 
• Powers and Roots of Complex Numbers 
• Complex Numbers as Vectors

CHAPTER 7 Inductance and Capacitance

• Introduction
• Introduction to Magnetism 
• Electromagnetism 
• Self-Inductance 
• The Unit of Inductance 
• Capacitors and Capacitance 
• Capacitors in Series and in Parallel 

CHAPTER 8 Reactance and Impedance. Algebra of ac Networks

• Inductive Reactance. Impedance 
• RL Networks 
• Capacitive Reactance. RC Networks 
• The General RLC Network. Admittance 
• Real and Apparent Power. Power Factor 
• Series Resonance
• Parallel Resonance

CHAPTER 9 Impedance Transformation. Electric Filters

• Impedance Transformation. The ‘‘L’’ Section 
• The ‘‘T’’ and ‘‘Pi’’ Equivalent Networks 
• Conversion of Pi to T and T to Pi 
• Impedance Transformation by T and Pi Networks 
• Frequency Response. The Basic RC and RL Filter Circuits
• The Symmetrical T Network. Characteristic Impedance
• Low-Pass Constant-k Filter 
• High-Pass Constant-k Filter

CHAPTER 10 Magnetic Coupling. Transformers. Three-Phase Systems

• Introduction to Magnetic Coupling; the Transformer
• Dot-Marked Terminals. Induced Voltage Drops 
• Sinusoidal Analysis of Magnetically Coupled Circuits 
• The ‘‘T’’ Equivalent of a Transformer 
• The Band-Pass Double-Tuned Transformer 
• The Ideal Iron-Core Transformer
• The Three-Phase Power System. Introduction 
• Y-Connected Generator; Phase and Line Voltages
• Current and Power in Balanced Three-Phase Loads 
• The Unbalanced Case; Symmetrical Components 
• Some Examples of Unbalanced Three-Phase Calculations

CHAPTER 11 Matrix Algebra. Two-Port Networks

• Introduction to Matrix Algebra 
• Product of Two Matrices 
• The Inverse of a Square Matrix 
• Some Properties of the Unit Matrix 
• Algebraic Operations. Transpose of a Matrix 
• Matrix Equations for the Two-Port Network 
• Continuing Discussion of the Two-Port Network 
• Matrix Conversion Chart for the Two-Port Network 
• Matrix Operations for Interconnected Two-Ports 
• Notes Regarding the Interconnection Formulas 
• Some Basic Applications of the Formulas

CHAPTER 12 Binary Arithmetic. Switching Algebra

• Analog and Digital Signals. Binary Arithmetic 
• Boolean or ‘‘Switching’’ Algebra. Truth Tables 
• Digital Logic Symbols and Networks

CHAPTER 13 The Digital Processor. Digital Filters

• Bandwidth Requirements for Digital Transmission.
• Sampling Theorem. PAM and PCM 
• Analog Signal in Sampled Form. Unit Impulse Notation 
• The z-Transform 
• The Inverse z-Transform
• The Discrete-Time Processor 
• The Form of, and Basic Equations for, a DT Processor 
• Stability and Instability. Poles and Zeros 
• Structure of DT Processors 
• Digital Filters; The Basic Algebra

Preface to Teach Yourself Algebra for Electric Circuits PDF

Many books can be had on the subject of electric circuits. Some are elementary, requiring little mathematical skills, while others require considerable knowledge of calculus. This book can be considered a compromise, in that it uses no calculus but does make considerable use of algebra.

This includes ordinary algebra and also the special algebras of logic and matrices. All are carefully explained in the text, along with interesting and important applications. The manner in which the book is used will depend of course upon the individual.

Some will wish to start on page 1 and continue on consecutively from that point. Others might want to pick and choose. For instance, on first reading, some might prefer to postpone study of Chapter 11 and jump directly from Chapter 10 to Chapters 12 and 13.

At any rate, I hope that you, as an individual, will find the book interesting and, in the long run, a valuable contribution to your professional advancement.

Teach yourself algebra for electric circuits PDF

Author(s): Kenneth Jenkins, Ken Jenkins

Publisher: McGraw-Hill/TAB Electronics, Year: 2001

ISBN: 9780071381826

https://freepdfbook.com/circuit-analysis-for-dummies-john-santiago/

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