## Teach Yourself Algebra for Electric Circuits by Jenkins ##### Book Description:

Practical math to help you plan, design, and problem-solve electric circuitsThe ideal tool for upgrading career-enhancing math skills, Teach Yourself Algebra for Electronic Circuits helps you learn the methods that support today’s technological growth and innovation. Author Ken Jenkins has put together a genuinely user-friendly tutorial. Every chapter is a self-contained unit, making it easier to find the answers you want and learn at your own pace – without flipping through pages, looking for connections or background. Learn or upgrade your skills with:* Self-teaching text, complete with worked-out questions/solutions and final exams*Math that goes beyond elementary algebra, without the burden of heavy-duty calculus you don’t need* Circuit-focused applications, illustrations, and examples* Special help with the algebra of logic and matrices*Hundreds of practical problems with detailed solutions throughout the book* Over 300 illustrations to help you learn quickly and easily

Book Details :
Language English
Pages 567
Format PDF
Size 11.5 MB

Teach Yourself Algebra for Electric Circuits by K. W. Jenkins PDF Free Download

## 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

Circuit Analysis For Dummies John Santiago