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1.1 1.2 1.3 1.4 Electri cation and Electric Charge Coulomb s Law and the Unit of Charge Electric Field Strength Potential di erence; the Volt
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Electric Current. Ohm s Law. Basic Circuit Con gurations
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2.1 2.2 2.3 2.4 2.5 2.6 2.7 Electric Current Electromotive Force Electrical Resistance. Ohm s Law. Power Some Notes on Temperature E ects The Series Circuit The Parallel Circuit Series-Parallel Circuits
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Determinants and Simultaneous Equations
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3.1 3.2 3.3 3.4 3.5 3.6 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
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4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 Introduction Kirchho s Current Law Kirchho s Voltage Law The Method of Loop Currents Conductance. Millman s Theorem Thevenin s Theorem Norton s Theorem The Method of Node Voltages
58 58 60 62 66 68 70 73
Copyright 2002 by The McGraw-Hill Companies, Inc. Click Here for Terms of Use.
viii
5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8
Contents
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
76 77 80 88 93 96 105 108
Algebra of Complex Numbers
6.1 6.2 6.3 6.4 6.5 6.6 6.7 6.8
Imaginary Numbers 114 Complex Numbers. Addition and Multiplication 119 Conjugates and Division of Complex Numbers 120 Graphical Representation of Complex Numbers 122 Exponential Form of a Complex Number 125 Operations in the Exponential and Polar Forms. De Moivre s Theorem 128 Powers and Roots of Complex Numbers 131 Complex Numbers as Vectors 134
Inductance and Capacitance
7.1 7.2 7.3 7.4 7.5 7.6 7.7 Introduction Introduction to Magnetism Electromagnetism Self-Inductance The Unit of Inductance Capacitors and Capacitance Capacitors in Series and in Parallel
136 137 138 140 142 144 148
Reactance and Impedance. Algebra of ac Networks
8.1 8.2 8.3 8.4 8.5 8.6 8.7 Inductive Reactance. Impedance RL Networks Capacitive Reactance. RC Networks The General RLC Network. Admittance Real and Apparent Power. Power Factor Series Resonance Parallel Resonance
151 155 160 165 169 174 180
Impedance Transformation. Electric Filters
9.1 9.2 9.3 Impedance Transformation. The L Section The T and Pi Equivalent Networks Conversion of Pi to T and T to Pi
187 190 196
Contents
9.4 9.5 9.6 9.7 9.8 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
198 201 213 219 223
Magnetic Coupling. Transformers. Three-Phase Systems 227
10.1 10.2 10.3 10.4 10.5 10.6 10.7 10.8 10.9 10.10 10.11 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 227 230 234 239 241 250 255 256 261 265 272
Matrix Algebra. Two-Port Networks
11.1 11.2 11.3 11.4 11.5 11.6 11.7 11.8 11.9 11.10 11.11 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
277 281 286 291 292 294 299 303 306 312 316
Binary Arithmetic. Switching Algebra
12.1 Analog and Digital Signals. Binary Arithmetic 12.2 Boolean or Switching Algebra. Truth Tables 12.3 Digital Logic Symbols and Networks
324 338 347
The Digital Processor. Digital Filters
13.1 Bandwidth Requirements for Digital Transmission. Sampling Theorem. PAM and PCM 13.2 Analog Signal in Sampled Form. Unit Impulse Notation 13.3 The z-Transform 13.4 The Inverse z-Transform
357 364 366 373
13.5 13.6 13.7 13.8 13.9
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