دانلود کتاب Electricity and Magnetism

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Preface
CONTENTS
EXPLICIT FORMS OF VECTOR OPERATIONS
VECTOR FORMULAS AND THEOREMS
ONE: VECTOR ANALYSIS
1.1 Properties of Vectors and Coordinate Systems
1.1.1 Base Vectors and Coordinate Systems
1.1.2 The Scalar Product (Dot Product)
1.1.3 The Vector Product (Cross Product)
1.2 Elements of Displacement, Area, and Volume; Solid Angle
1.2.1 Element of Displacement
1.2.2 Element of Surface Area
1.2.3 Solid Angle
1.2.4 Element of Volume
1.3 Gradient
1.4 The Divergence of a Vector and Gauss\' Theorem
1.5 The Curl and Stokes\' Theorem
1.6 Vector Manipulations of V
1.6.1 Single Del Operations
1.6.2 Double Del Operations
1.7 Vector Integral Relations
1.8 Summary
Problems
Answer 1
TWO: ELECTROSTATICS
2.1 Electric Charge
2.2 Coulomb\'s Law
2.3 Electric Field
2.4 Charge Density
2.5 Gauss\' Law
2.5.1 Integral Form of Gauss\' Law
2.5.2 Derivative Form of Gauss\' Law
2.6 Conductors and Insulators
2.7 Electric Potential
(a) The Spherical Capacitor
(b) Charged Spherical Shell
2.8 The Multipole Expansion
2.9 Summary
Problems
Answer 2
THREE: ELECTROSTATIC BOUNDARY VALUE PROBLEMS
3.1 Poisson\'s and Laplace\'s Equations
3.2 Uniqueness of Solutions to Electrostatic Problems
3.3 Boundary Conditions
3.4 Problems Involving Laplace\'s Equation
3.4.1 Laplace\'s Equation in One Dimension
3.4.2 Laplace\'s Equation in Two Dimensions-Spherical Coordinates
3.4.3 Laplace\'s Equation in Two Dimensions-Cylindrical Coordinates
3.4.4 Laplace\'s Equation in Three Dimensions-Rectangular Coordinates
3.5 The Method of Images
3.5.1 Point Charge and Plane
3.5.2 Point Charge and Sphere
3.5.3 Parallel Cylinders
3.5.4 Point Charge and Two Conducting Surfaces
3.6 Poisson\'s Equation
3.7 Electrostatic Shielding
3.8 Summary
Problems
Answer 3
FOUR: FORMAL THEORY OF DIELECTRIC ELECTROSTATICS
4.1 Polarization and Dipole Moment Density
4.2 Fields Due to a Dielectric Medium
4.3 Gauss\' Law for Dielectrics
4.4 The Equations of Electrostatics Inside Dielectrics
4.5 The Electric Constitutive Relations
4.6 The Solution of Electrostatic Boundary Value Problems with Dielectrics
4.6.1 Uniqueness
4.6.2 Boundary Conditions for Dielectric Media
*4.7 Method of Images for Dielectric Interfaces
4.8 Forces on Charge Distributions
4.9 Summary
Problems
Answer 4
FIVE: THE MICROSCOPIC THEORY OF DIELECTRICS
5.1 The Molecular Field
5.2 Interaction of Atoms and Molecules with Electric Fields
5.2.1 Induced Dipoles
5.2.2 Permanent Dipoles
5.2.3 Ferroelectricity
5.3 Summary
Problems
Answer 5
SIX: ELECTROSTATIC ENERGY
6.1 Electrostatic Energy of an Assembly of Point Charges
6.2 Electrostatic Energy of a Continuous Charge Distribution
6.3 Electrostatic Energy of Conductors; Coefficients of Potential and Capacitance
6.4 Capacitors
6.4.1 Capacitance of an Isolated Conductor
6.4.2 The Two-Conductor Capacitor
6.4.3 Combinations of Capacitors
6.4.4 Energy Storage in Capacitors
6.5 Electrostatic Energy: An Alternative Expression in Terms of the Field Distribution
6.6 Self-Energies and Interaction Energies
6.7 Forces and Torques Using the Electrostatic Energy
6.8 Summary
Problems
Answer 6
SEVEN: STEADY CURRENTS
7.1 Definition of Electric Current
7.2 The Continuity Equation: Local Conservation of Charge
7.3 Ohm\'s Law
7.4 Steady Currents
7.4.1 Equations Governing J
7.4.2 The Boundary Conditions
7.4.3 Boundary Value Problems
7.5 The Coefficients of Resistance
7.6 The Method of Images for Currents
7.7 Microscopic Origin of Conduction
7.8 Joule Heating and Batteries
7.9 Kirchhoff\'s Laws and Resistive Networks
7.10 Summary
Problems
Answer 7
EIGHT: MAGNETISM OF STEADY CURRENTS
8.1 The Lorentz Force
8.2 Forces on Current Distribution-Motion in Crossed Fields
8.3 The Sources of B
8.4 Integral Equations of Magnetostatics and Ampere\'s Law
8.5 The Vector Potential
8.6 The Biot-Savart Law
8.7 The Magnetic Scalar Potential
8.8 Magnetic Effects of a Small Current Loop
8.8.1 The Scalar Potential
8.8.2 Magnetic Moments
8.8.3 The Vector Potential of a Small Current Loop
8.8.4 Localized Current Distribution in an External Magnetic Field
8.9 Summary
Problems
Answer 8
NINE: FORMAL THEORY OF MAGNETISM AND MATTER
9.1 Magnetization
9.2 The Vector and Scalar Potentials of a Magnetized Material
9.3 The Equations of Macroscopic Magnetostatics
9.4 The Magnetic Constitutive Relations
9.5 Boundary Value Problems
9.5.1 The Potential Equations
9.5.2 The Boundary Conditions on the Fields and the Potentials
\"9.6 Method of Images for Magnetic Interfaces
*9.7 Magnetic Circuits
9.8 Summary
Problems
Answer 9
TEN: THE MICROSCOPIC THEORY OF MAGNETISM
10.1 The Interaction of Atoms and Molecules with Magnetic Fields
10.2 The Origin of Diamagnetism-Induced Dipole Moments
10.3 Paramagnetism-Permanent Moments
10.4 Ferromagnetism
10.4.1 Spin-Spin (Exchange) Interaction
10.4.2 The Molecular Field
10.4.3 Spontaneous Magnetization
10.4.4 The Magnetic Susceptibility of Ferromagnetic Materials Above the Curie Temperatur-The Curie-Weiss Law
10.4.5 Ferromagnetic Domains
10.4.6 Antiferromagnetism and Ferrimagnetism (Ferrite)
10.5 Summary
Problems
Answer 10
ELEVEN: INDUCTION
11.1 Faraday\'s Law
11.2 Motional EMF
11.3 Application of Faraday\'s Law to Circuits: Coefficients of Inductance
11.3.1 Mutual Inductance
11.3.2 Self-Inductance-Inductances in Series and in Parallel
11.4 Summary
Problems
Answer 11
TWELVE: MAGNETIC ENERGY
12.1 A Current Loop Immersed in a Linear Magnetic Material
12.2 N Loops Immersed in a Linear Magnetic Medium
12.3 Energy Stored in a Magnetic Field in the Presence of Linear Materials
12.4 Magnetic Energy in Nonlinear Materials
12.5 Forces and Torques Using the Magnetostatic Energy
12.6 Summary
Problems
Answer 12
THIRTEEN: CIRCUITS WITH NONSTEADY CURRENTS
13.1 Definition of Quasi-Static Circuits
13.2 Kirchhoff\'s Circuit Law
13.3 Time Domain Solutions
13.3.1 Series RL Loop
13.3.2 Series RC Loop
13.3.3 The RLC Loop
13.4 Coupled Circuits
13.5 AC Circuits-Frequency Domain
13.5.1 Phasors-Kirchhoff\'s Laws for Phasors
13.5.2 The Mesh Law
13.5.3 The Nodal Method
13.6 Power in AC circuits-Impedance Matching
13.7 Resonance in AC Circuits
13.7.1 Series Resonance
13.7.2 Parallel Resonance
13.8 Summary
Problems
Answer 13
FOURTEEN: MAXWELL\'S EQUATIONS
14.1 Displacement Current-Maxwell\'s Equations
14.2 Maxwell\'s Equations in Simple Media- The Wave Equation
14.3 Plane Waves in Nonconducting Media
14.3.1 The Wave Phenomenon
14.3.2 Interrelationships between E, B, and \\hat{k}
14.4 Sinusoidal (Monochromatic) Solutions to Maxwell\'s Equations
14.5 Polarization of Plane Waves
14.6 Conservation of Electromagnetic Energy- Poynting\'s Theorem
14.7 Plane Monochromatic Waves in a Conducting Medium
14.8 Summary
Problems
Answer 14
FIFTEEN: RADIATION
15.1 Wave Equation of the Potentials with Sources- Gauge Transformations
15.2 Retarded Potentials
15.3 Spherical Waves and Field Wave Equations- Multipole Expansion for Slowly Moving Distributions
15.4 Radiation from Antennas
15.4.1 Differential Antennas-Electric Dipole Fields
15.4.2 Radiation from a Half-Wave Antenna
15.5 Multipole Expansion of the Retarded Potentials- Radiation from Slowly Moving Charges-Electric Dipole
15.6 The Lienard-Weichert Potential-Fast-Moving Point Charges
15.7 Summary
Problems
Answer 15
SIXTEEN: ELECTROMAGNETIC BOUNDARY VALUE PROBLEMS
16.1 Boundary Conditions on the Fields
16.1.1 Special Cases: Normal Component
16.1.2 Special Cases: Tangential Component
16.2 Propagation Across a Plane Interface of Nonconducting (Dielectric) Materials
16.2.1 Normal Incidence
16.2.2 Oblique Incidencephase Matching
16.2.3 Polarization by Reflection and Refraction-Brewster Angle
16.3 Propagation Across a Plane Interface of a Conductor and a Dielectric-Complex Fresnel Coefficients
16.3.1 Normal Incidence
16.3.2 Oblique Incidence
16.4 Waveguides and Cavity Resonators
16.4.1 Propagation Between Two Conducting Plates (Metallic Mirrors)
16.4.2 Waveguides
16.4.3 Cavity Resonators
16.5 Summary
Problems
Answer 16
SEVENTEEN: SPECIAL THEORY OF RELATIVITY - ELECTRODYNAMICS
17.1 Galilean Transformation and the Wave Equation
17.2 Lorentz Transformation
17.3 Postulates of Special Relativity
17.4 Geometry of Space-Time (Four-Dimensional Space) -Four-Vectors and Four Tensors
17.4.1 Three-Dimensional Space-Euclidean Space
17.4.2 Four-Dimensional Space-Minkowski Space
17.4.3 Vector Properties of Four-Dimensional Space
17.5 Relativistic Electrodynamics - Covariance of Electrodynamics
17.6 Summary
Problems
Answer 17
Appendix I: SYSTEMS OF UNITS
I.1 Force Laws - Origin of Systems
I.2 Electrostatic and Electromagnetic Systems
I.3 Gaussian System
Appendix II: DIVERGENCE, CURL, GRADIENTS, AND LAPLACIAN
Appendix III: SOME FUNDAMENTAL CONSTANTS OF PHYSICS
Appendix IV: SOME SI DERIVED UNITS WITH SPECIAL NAMES
ANSWERS TO ODD-NUMBERED PROBLEMS
INDEX
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