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Electromagnetic Fields

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  • ÃâÆÇ»ç : Wiley
  • ¹ßÇà : 1986³â 07¿ù 24ÀÏ
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  • ISBN : 9780471811862
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Introduction 1 (2)
Vectors 3 (37)
Definition of a Vector 3 (1)
Addition 4 (1)
Unit Vectors 5 (1)
Components 5 (2)
The Position Vector 7 (1)
Scalar Product 8 (1)
Vector Product 9 (2)
Defferentiation with Respect to a Scalar 11 (1)
Gradient of a Scalar 12 (2)
Other Differential Operations 14 (1)
The Line Integral 15 (2)
Vector Element of Area 17 (3)
The Surface Integral 20 (1)
The Divergence Theorem 21 (3)
Stokes' Theorem 24 (4)
Cylindrical Coordinates 28 (3)
Spherical Coordinates 31 (3)
Some Vector Relationships 34 (1)
Functions of the Relative Coordinates 35 (2)
The Helmholtz Theorem 37 (3)
Coulomb's Law 40 (11)
Point Charges 40 (1)
Coulomb's Law 41 (2)
Systems of Point Charges 43 (1)
Continuous Distributions of Charge 44 (2)
Point Charge Outside a Uniform Spherical 46 (5)
Charge Distribution
The Electric Field 51 (7)
Definition of the Electric Field 51 (1)
Field of a Uniform Infinite Line Charge 52 (1)
Field of a Uniform Infinite Plane Sheet 53 (2)
What Does All of This Mean? 55 (3)
Gauss' Law 58 (10)
Derivation of Gauss' Law 58 (2)
Some Applications of Gauss' Law 60 (5)
Direct Calculation of ▿ . E 65 (3)
The Scalar Potential 68 (15)
Definition and Properties of the Scalar 68 (4)
Potential
Uniform Spherical Charge Distribution 72 (1)
Uniform Line Charge Distribution 73 (6)
The Scalar Potential and Energy 79 (4)
Conductors in Electrostatic Fields 83 (15)
Some General Results 83 (5)
Systems of Conductors 88 (2)
Capacitance 90 (8)
Electrostatic Energy 98 (12)
Energy of a System of Charges 98 (2)
Energy of a System of Conductors 100(1)
Energy in Terms of the Electric Field 101(2)
Electrostatic Forces on Conductors 103(7)
Electric Multipoles 110(22)
The Multipole Expansion of the Scalar 110(9)
Potential
The Electric Dipole Field 119(2)
The Linear Quadrupole Field 121(2)
Energy of a Charge Distribution in an 123(9)
External Field
Boundary Conditions at a Surface of 132(8)
Discontinuity
Origin of a Surface of Discontinuity 132(1)
The Divergence and the Normal Components 133(1)
The Curl and the Tangential Components 134(2)
Boundary Conditions for the Electric Field 136(2)
Boundary Conditions for the Scalar Potential 138(2)
Electrostatics in the Presence of Matter 140(31)
Polarization 140(2)
Bound Charge Densities 142(3)
The Electric Field within a Dielectric 145(3)
Uniformly Polarized Sphere 148(3)
The D Field 151(3)
Classification of Dielectrics 154(2)
Linear Isotropic Homogeneous (l.i.h.) 156(5)
Dielectrics
Energy 161(4)
Forces 165(6)
Special Methods in Electrostatics 171(31)
Uniqueness of the Solutions of Laplace's 171(2)
Equation
Method of Images 173(10)
``Remembrance of Things Past'' 183(2)
Separation of Variables in Rectangular 185(5)
Coordinates
Separation of Variables in Spherical 190(8)
Coordinates
Spherically Symmetric Solution of Poisson's 198(4)
Equation
Electric Currents 202(15)
Current and Current Densities 202(3)
The Equation of Continuity 205(2)
Conduction Currents 207(4)
Energy Relations 211(1)
A Microscopic Point of View 212(1)
The Attainment of Electrostatic Equilibrium 213(4)
Ampere's Law 217(8)
The Force between Two Complete Currents 217(3)
Two Infinitely Long Parallel Currents 220(2)
The Force between Current Elements 222(3)
The Magnetic Induction 225(12)
Definition of the Magnetic Induction 225(2)
Straight Current of Finite Length 227(2)
Axial Induction of a Circular Current 229(2)
Infinite Plane Uniform Current Sheet 231(2)
Moving Point Charges 233(4)
The Integral Form of Ampere's Law 237(13)
Derivation of the Integral Form 237(5)
Some Applications of the Integral Form 242(6)
Direct Calculation of ▿ X B 248(2)
The Vector Potential 250(13)
The Divergence of B 250(1)
Definition and Properties of the Vector 251(3)
Potential
Uniform Induction 254(1)
Straight Currents 255(4)
Infinitely Long Ideal Solenoid 259(4)
Faraday's Law of Induction 263(21)
Faraday's Law 263(3)
Stationary Media 266(3)
Moving Media 269(8)
Inductance 277(7)
Magnetic Energy 284(13)
Energy of a System of Free Currents 284(3)
Energy in Terms of the Magnetic Induction 287(3)
Magnetic Forces on Circuits 290(7)
Magnetic Multipoles 297(15)
The Multipole Expansion of the Vector 297(5)
Potential
The Magnetic Dipole Field 302(1)
Filamentary Currents 303(2)
Energy of a Current Distribution in an 305(7)
External Induction
Magnetism in The Presence of Matter 312(36)
Magnetization 312(1)
Magnetization Current Densities 313(6)
Uniformly Magnetized Sphere 319(2)
The H Field 321(6)
Linear Isotropic Homogeneous Magnetic 327(6)
Materials
Energy 333(5)
Ferromagnetic Materials 338(4)
Magnetic Circuits 342(6)
Maxwell's Equations 348(15)
The Displacement Current 348(5)
Maxwell's Equations in General Form 353(2)
Maxwell's Equations for Linear Isotropic 355(1)
Homogeneous Media
Poynting's Theorem 356(3)
Electromagnetic Momentum 359(4)
Scalar and Vector Potentials 363(5)
The Potentials in General 363(1)
The Potentials for Linear Isotropic 364(2)
Homogeneous Media
Gauge Transformation 366(2)
Systems of Units---A Guide For The Perplexed 368(7)
Origin of Other Systems of Units 368(1)
The Electrostatic and Electromagnetic 369(1)
Systems
The Gaussian System 370(1)
How to Cope with the Gaussian System 371(4)
Plane Waves 375(30)
Separate Equations for E and B 375(1)
Plane Waves in a Nonconducting Medium 376(6)
Plane Waves in a Conducting Medium 382(6)
Plane Waves in a Charged Medium 388(1)
Plane Wave in an Arbitrary Direction 389(2)
Complex Solutions and Time-Average Energy 391(2)
Relations
Polarization 393(5)
Are the Electromagnetic Parameters of 398(7)
Matter Constants?
Reflection and Refraction of Plane Waves 405(25)
The Laws of Reflection and Refraction 405(6)
E Perpendicular to the Plane of Incidence 411(4)
E Parallel to the Plane of Incidence 415(3)
Total Reflection (n1 > n2, &thetas;1 418(2)
> &thetas;c)
Energy Relations 420(1)
Reflection at the Surface of a Conductor 421(3)
Continuously Varying Index of Refraction 424(1)
Radiation Pressure 425(5)
Fields in Bounded Regions 430(19)
Boundary Conditions at the Surface of a 430(1)
Perfect Conductor
Propagation Characteristics of Wave Guides 431(2)
Fields in a Wave Guide 433(2)
Rectangular Guide 435(6)
TEM Waves 441(3)
Resonant Cavities 444(5)
Circuits and Transmission Lines 449(20)
Kirchhoff's Laws 449(4)
The Series RLC Circuit 453(4)
More Complicated Situations 457(4)
Transmission Lines 461(8)
Radiation 469(25)
Retarded Potentials 469(3)
Multipole Expansion for Harmonically 472(5)
Oscillating Sources
Electric Dipole Radiation 477(5)
Magnetic Dipole Radiation 482(2)
Linear Electric Quadrupole Radiation 484(3)
Antennas 487(7)
Special Relativity 494(36)
Historical Origins of Special Relativity 494(5)
The Postulates and the Lorentz 499(8)
Transformation
General Lorentz Transformations, 4-Vectors, 507(7)
and Tensors
Particle Mechanics 514(4)
Electromagnetism in Vacuum 518(5)
Fields of a Uniformly Moving Point Charge 523(7)
A MOTION OF CHARGED PARTICLES 530(16)
A-1 Static Electric Field 530(1)
A-2 Static Magnetic Field 531(7)
A-3 Static Electric and Magnetic Fields 538(5)
A-4 A Time-Dependent Magnetic Field 543(3)
B ELECTROMAGNETIC PROPERTIES OF MATTER 546(23)
B-1 Static Electric Properties 546(8)
B-2 Static Magnetic Properties 554(8)
B-3 Response to Time-Varying Fields 562(7)
Answers to Odd-Numbered Exercises 569(8)
Index 577

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This revised edition provides patient guidance in its clear and organized presentation of problems. It is rich in variety, large in number and provides very careful treatment of relativity. One outstanding feature is the inclusion of simple, standard examples demonstrated in different methods that will allow students to enhance and understand their calculating abilities. There are over 145 worked examples; virtually all of the standard problems are included.

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