
| 《电磁学》(影印版)的难度和国内教学要求比较接近,可作为物理类专业电磁学课程的教材,尤其适合开展双语教学的学校,对于有志出国深造的人员也是一本必不可少的参考书。 |
| 1 History and Perspective 1.1 Brief History of the Science of Electromagnetism 1.2 Electromagnetism in the Standard Model 2 Vector Calculus 2.1 Vector Algebra 2.1.1 Definitions 2.1.2 Addition and Multiplication of Vectors 2.1.3 Vector Product Identities 2.1.4 Geometric Meanings 2.2 Vector Differential Operators 2.2.1 Gradient of a Scalar Function 2.2.2 Divergence of a Vector Function 2.2.3 Curl of a Vector Function 2.2.4 Del Identities 2.3 Integral Theorems 2.3.1 Gausss Theorem 2.3.2 Stokess Theorem 2.3.3 Vector Calculus in Fluid Mechanics 2.4 Curvilinear Coordinates 2.4.1 General Derivations 2.4.2 Cartesian, Cylindrical, and Spherical Coordinates 2.5 The Helmholtz Theorem 3 Basic Principles of Electrostatics 3.1 Coulombs Law 3.1.1 The Superposition Principle 3.2 The Electric Field 3.2.1 Definition 3.2.2 Charge as the Source of E 3.2.3 Field of a Charge Continuum 3.3 Curl and Divergence of E 3.3.1 FieldTheoryVersusAction at aDistance 3.3.2 Boundary Conditions of the Electrostatic Field 3.4 The Integral Forill of GaussS Law 3.4.1 Flux and Charge 3.4.2 Proof of Gausss Law 3.4.3 CalculationsBased onGausssLaw 3.5 GreenS Function and the Dirac delta Function 3.5.1 The Dirac delta Function 3.5.2 Another ProofofGaussS Law 3.6 The Electric Potential 3.6.1 Definition and Construction 3.6.2 PoissonS Equation 3.6.3 Example Calculations of V(x) 3.7 Energy of the Electric Field 3.8 The Multipole Expansion 3.8.1 Two Charges 3.8.2 The Electric Dipole 3.8.3 Moments ofaGeneralChargeDistribution 3.8.4 EquipotentialS and Field Lines 3.8.5 Torque and Potential Energy for a Dipole in an Electric Field 3.9 Applications 3.10 Chapter Summary 4 ElectrOstatics and Conductors 4.1 Electrostatic properties of coriductors 4.2 Electrostatic Problems with Rectangular Symmetry 4.2.1 Charged Plates 4.2.2 Problems with Rectangular Symmetry and External Point Charges.The Method ofImages 4.3 Problems with Spherical Symmetry 4.3.1 Charged Spheres 4.3.2 Problems with Spherical Symmetry and External Charges 4.4 Problems with Cylindrical Symmetry 4.4.1 Charged Lines and Cylinders 4.4.2 Problems with Cylindrical Symmetry and an External Line Charge 5 General Methods for Laplaces Equation 5.1 Separation of Variables for Cartesian Coordinates 5.1.1 Separable Solutions for Cartesian Coordinates 5.1.2 Examples 5.2 Separation of Variables for Spherical Polar Coordinates 5.2.1 Separable Solutions for Spherical Coordinates 5.2.2 Legendre Polynomials 5.2.3 Examples with Spherical Boundaries 5.3 Separation of Variables for Cylindrical Coordinates 5.3.1 Separable Solutions for Cylindrical Coordinates 5.4 Conjugate Functions in 2 Dimensions 5.5 Iterative Relaxation: A Numerical Method 6 Electrostatics and Dielectrics 6.1 The Atom as an Electric Dipole 6.1.1 Induced Dipoles 6.1.2 Polar Molecules 6.2 Polarization and Bound Charge 6.3 The Displacement Field 6.3.1 Linear Dielectrics 6.3.2 The Clausius-Mossotti Formula 6.3.3 Poissons Equation in a Uniform Linear Dielectric 6.4 Dielectric Material in a Capacitor 6.4.1 Design of Capacitors 6.4.2 Microscopic Theory 6.4.3 Energy in a Capacitor 6.4.4 A Concrete Model of a Dielectric 6.5 Boundary Value Problems with Dielectrics 6.5.1 The Boundary Conditions 6.5.2 A Dielectric Sphere in an Applied Field 6.5.3 A Point Charge above a Dielectric with a Planar Boundary Surface 6.5.4 A Capacitor Partially Filled with Dielectric 7 Electric Currents 7.1 Electric Current in a Wire 7.2 Current Density and the Continuity Equation 7.2.1 Local Conservation of Charge 7.2.2 Boundary Condition on J(x, t) 7.3 Current and Resistance 7.3.1 Ohms Law 7.3.2 Fabrication of Resistors 7.3.3 The Surface Charge on a Current Carrying Wire 7.4 A Classical Model of Conductivity 7.5 Joules Law 7.6 Decay of a Charge Density Fluctuation 7.7 I-V Characteristic of a Vacuum-Tube Diode 7.8 Chapter Summary 8 Magnetostatics 8.1 The Magnetic Force and the Magnetic Field 8.1.1 Force on a Moving Charge 8.1.2 Force on a Current-Carrying Wire 8.2 Applications of the Magnetic Force 8.2.1 Helical or Circular Motion of q in Uniform B 8.2.2 Cycloidal Motion of q in Crossed E and B 8.2.3 Electric Motors 8.3 Electric Current as a Source of Magnetic Field 8.3.1 The Biot-Savart Law 8.3.2 Forces on Parallel Wires 8.3.3 General Field Equations for B(x) 8.4 Amperes Law 8.4.1 Ampere Law Calculations 8.4.2 Formal Proof of Amperes Law 8.5 The Vector Potential 8.5.1 General Solution for A(x) 8.6 The Magnetic Dipole 8.6.1 Asymptotic Analysis 8.6.2 Dipole Moment of a Planar Loop 8.6.3 Torque and Potential Energy of a Magnetic Dipole 8.6.4 The Magnetic Field of the Earth 8.7 The Full Field of a Current Loop 9 Magnetic Fields and Matter 9.1 The Atom as a Magnetic Dipole 9.1.1 Diamagnetism 9.1.2 Paramagnetism 9.2 Magnetization and Bound Currents 9.2.1 Examples 9.2.2 A Geometric Derivation of the Bound Currents 9.3 Ampbres Law for Free Currents, and I-I 9.3.1 The Integral Form of Ampbres Law 9.3.2 The Constitutive Equation 9.3.3 Magnetic Susceptibilities 9.3.4 Boundary Conditions for Magnetic Fields 9.4 Problems Involving Free Currents and Magnetic Materials 9.5 A Magnetic Body in an External Field: The Magnetic Scalar Potential …… 10 Electromagnetic Induction 11 The Maxwell Equations 12 Electromagnetism and Relativity 13 Electromagnetism and optics 14 Wave Guides and Transmission Lines 15 Radiation of Electromagnetic Waves A Electric and magnetic Units B The Helmholtz Theorem Index |
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