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## NOOK Book(eBook)

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## Overview

Starting with an introductory chapter on electrostatics, the treatment advances to the electrostatic field of free charges; dielectric theory; electrostatic energy, force, and capacitance; electric current; and direct-current circuits. Subsequent topics include steady-state magnetism, electromagnetic induction, magnetic properties of matter, transient currents, analysis of alternating-current circuits, Maxwell's equations, and electromagnetic waves.

## Product Details

ISBN-13: | 9780486782843 |
---|---|

Publisher: | Dover Publications |

Publication date: | 11/06/2013 |

Series: | Dover Books on Physics |

Sold by: | Barnes & Noble |

Format: | NOOK Book |

Pages: | 496 |

File size: | 29 MB |

Note: | This product may take a few minutes to download. |

## Table of Contents

Preface v

Chapter 1 Electrostatics 1

1.1 Electric Charge 1

1.2 Coulomb's Law, and Conservation of Charge 1

1.3 Charge Density 3

1.4 Electric Field 5

1.5 Electrostatic Potential 7

1.6 Potential of a Point Charge 11

1.7 Potential of a Charge Distribution 12

1.8 Convergence of Improper Integrals 13

1.9 Flux of the Electric Field. Gauss' Law 14

1.10 Computation of Electric Field by Gauss' Law 17

1.11 Lines of Force and Equipotential Surfaces 20

1.12 Conductors in Electrostatic Systems 22

1.13 The Electric Dipole 26

1.14 Expansion of the Potential of a System of Charges 28

Problems 31

Chapter 2 The Electrostatic Field of Free Charges 37

2.1 Introduction 37

2.2 Poisson's Equation in Space. Laplace's Equation 38

2.3 Boundary Conditions 41

2.4 Poisson's Equation in Less than Three Cartesian Coordinates 43

2.5 Electrostatic Images 45

2.6 Image Problems Involving a Spherical Conductor 48

2.7 Equipotential Surfaces in the Form of Circular Cylinders 62

2.8 Line Charge and Conducting Circular Cylinder 54

2.9 Two Conducting Circular Cylinders 56

Problems 59

Chapter 3 Dielectric Theory 63

3.1 Introduction 63

3.2 Electric Polarization 63

3.3 A One-dimensional Model, and a Mathematical Transformation 66

3.4 Bound Charge 68

3.5 Electric Field within a Dielectric 72

3.6 Electric Displacement 77

3.7 Electric Susceptibility and Dielectric Constant 79

3.8 Electrostatic Potential in a Dielectric System 81

3.9 Boundary Conditions on the Field Vectors 82

3.10 Boundary Conditions for the Macroscopic Electrostatic Potential 86

3.11 The Poisson Equation 88

3.12 The Special Case 90

3.13 Dielectric Image Theory 92

3.14 Local Field. Permanent and Induced Dipole Moments 94

Problems 97

Chapter 4 Electrostatic Energy, Force, and Capacitance 102

4.1 Meaning of Energy 102

4.2 A Fundamental Expression for Energy 104

4.3 Energy of a System Containing Macroscopic Point Charges 107

4.4 Energy of Elementary Particles 111

4.5 Electrostatic Energy in Terms of Field Vectors 112

4.6 Linear Systems of Conductors 115

4.7 Energy of a Linear System of Conductors 117

4.8 Further Properties of the Coefficients of Potential, Induction, and Capacitance 120

4.9 Condensers 121

4.10 Networks of Condensers 123

4.11 Forces on Electrostatic Charge Distributions 125

4.12 Total Electrostatic Force on a System in Vacuo 128

4.13 Electrostatic Force and Torque Derived by Energy Considerations 129

Problems 132

Chapter 5 Electric Current 137

5.1 Electric Current and Density 137

5.2 Surface Current Density 140

5.3 Continuity 141

5.4 Conductivity 142

5.5 Joule Heat 145

5.6 The Electric Field in a System Containing Electric Current 146

5.7 Potential Difference in a Nonstatic System 147

5.8 Electromotive Force 149

5.9 Two-terminal Passive Systems. D-C Resistance 152

5.10 Two-terminal Active System with Direct Current 154

5.11 Charge within a Conductor 155

5.12 Steady Current Flow in a Region without EMF 156

5.13 Current Flow in a Wire. Resistivity 160

5.14 Temperature Coefficient of Resistivity 162

Problems 163

Chapter 6 Direct-Current Circuits 169

6.1 Components 169

6.2 The Simplest Circuit. Basic Principles 172

6.3 Series and Parallel Circuits 174

6.4 Kirchhoff's Laws 177

6.5 Loop Currents 180

6.6 Superposition 182

6.7 Equivalent EMF and Internal Resistance 183

6.8 Thévenin's Theorem 186

6.9 Maximum Power Output 188

Problems 189

Chapter 7 Steady-State Magnetism 197

7.1 Introduction 197

7.2 Magnetic Induction 198

7.3 Ampère's Law 202

7.4 Magnetic Field of Wire, Loop, and Solenoid 206

7.5 Vector Potential 209

7.6 Magnetic Flux 211

7.7 Ampère's Circuital Law 214

7.8 Field of a Distant Circuit. Magnetic Dipole Moment 217

7.9 The Equivalent Network. Dipole Moment of an Arbitrary Circuit 220

7.10 Magnetic Scalar Potential 223

7.11 Differential Form of the Circuital Law 229

7.12 Force and Torque on a Current Circuit 232

7.13 Force and Couple on a Magnetic Dipole 235

Problems 238

Chapter 8 Electromagnetic Induction 246

8.1 Motional Electromotive Force 246

8.2 EMF and Magnetic Flux: Faraday's Law of Electromagnetic Induction 249

8.3 Lena's Law 251

8.4 Self-inductance 252

8.5 Mutual Inductance 254

8.6 Inductors 257

8.7 Limit of Mutual Inductance 259

8.8 Parallel Inductors 260

8.9 Energy Transformations in Inductors. Magnetic Stored Energy 261

Problems 267

Chapter 9 Magnetic Properties of Matter 271

9.1 Macroscopic and Microscopic Analysis 271

9.2 Relative Permeability. State of Magnetization 273

9.3 Magnetizing Force 275

9.4 Terminology of Magnetism 278

9.5 Nonferromagnetic Materials 280

9.6 Ferromagnetism 281

9.7 Origins of Magnetic Susceptibility 285

9.8 Magnetic Polarization 287

9.9 Exterior Field of Magnetized Material. Magnetic Bound Charge 289

9.10 Internal Field of a Magnet 294

9.11 Microscopic Analysis of Magnetizing Force 303

9.12 The Magnetic Circuit 307

9.13 Force and Torque on a Magnet in Terms of Bound Charge 312

9.14 Exterior Field of a Magnet: Bound Current Densities 319

9.15 Interior Field of a Magnet in Terms of Bound Currents 322

9.16 Force and Torque on a Magnet in Terms of Bound Currents 327

9.17 Magnetic Energy. Hysteresis Loss 329

9.18 Magnetomechanical Energy Relations 333

Problems 336

Chapter 10 Transient Currents 342

10.1 Circuit Components 342

10.2 Circuit Theorems for Transient Conditions 344

10.3 Simple R-L Circuits 345

10.4 Simple R-C Circuits 347

10.5 Ideal L-C Circuit 350

10.6 Series L-C-R Circuit 351

10.7 Transient Balance 355

10.8 Mutual Inductance Bridge of Carey Foster 356

10.9 Moving-coil D-C Galvanometers 358

10.10 The d'Arsonval Ballistic Galvanometer 364

Problems 367

Chapter 11 Analysis of Alternating-Current Circuits 372

11.1 Series Circuit with A-C Generator. Transient and Steady-state Currents 372

11.2 Alternating-current Characteristics of Uncoupled Linear Circuit Components 375

11.3 Power 377

11.4 Vector Representation of A-C Variables 380

11.5 Impedance Operators and Impedance Vectors 383

11.6 Admittance 386

11.7 Complex Numbers. The Exponential Function of a Complex Variable 389

11.8 Complex Circuit Analysis 392

11.9 Resonance 395

11.10 A-C Bridges without Coupling 398

11.11 Inductive Coupling in Complex Analysis. General Theorems 402

11.12 Practical Circuit Components. Frequency Dependence 406

11.13 Transformers 410

Problems 416

Chapter 12 Maxwell's Equations. Electromagnetic Waves 422

12.1 Introduction 422

12.2 Differential Form of Faraday's Law of Electromagnetic Induction 422

12.3 Divergence of Magnetic Induction 424

12.4 Displacement Current 425

12.5 The Maxwell Equations. The Wave Equation in Insulating Material 429

12.6 Plane Waves in Dielectric Material 431

12.7 Energy Flow. The Poynting Vector 436

12.8 Radiation of a Harmonically Oscillating Electric Dipole 442

12.9 General Boundary Conditions 451

12.10 Reflection and Transmission of a Plane Wave at a Dielectric Interface. Normal Incidence 454

12.11 Electromagnetic Potentials 458

12.12 Electric and Magnetic Fields in Small Systems 462

Problems 466

Index 471