Preface 

ix  
Advertisement 

xi  


1  (57) 


1  (12) 


1  (3) 

Vector Algebra: Component Form 


4  (3) 


7  (1) 

Position, Displacement, and Separation Vectors 


8  (2) 


10  (3) 


13  (11) 


13  (1) 


13  (3) 


16  (1) 


17  (2) 


19  (1) 


20  (2) 


22  (2) 


24  (14) 

Line, Surface, and Volume Integrals 


24  (1) 

The Fundamental Theorem of Calculus 


24  (5) 

The Fundamental Theorem for Gradients 


29  (2) 

The Fundamental Theorem for Divergences 


31  (3) 

The Fundamental Theorem for Curls 


34  (3) 


37  (1) 


38  (7) 

Spherical Polar Coordinates 


38  (5) 


43  (2) 


45  (7) 


45  (1) 

The OneDimensional Dirac Delta Function 


46  (4) 

The ThreeDimensional Delta Function 


50  (2) 

The Theory of Vector Fields 


52  (6) 


52  (1) 


53  (5) 


58  (52) 


58  (7) 


58  (1) 


59  (1) 


60  (1) 

Continous Charge Distributions 


61  (4) 

Divergence and Curl of Electrostatic Fields 


65  (12) 

Field Lines, Flux, and Gauss's Law 


65  (4) 


69  (1) 

Applications of Gauss's Law 


70  (6) 


76  (1) 


77  (13) 

Introduction of Potential 


77  (2) 


79  (4) 

Poisson's Equation and Laplace's Equation 


83  (1) 

The Potential of a Localized Charge Distribution 


83  (4) 

Summary; Electrostatic Boundary Conditions 


87  (3) 

Work and Energy in Electrostatics 


90  (6) 

The Work Done to Move a Charge 


90  (1) 

The Energy of a Point Charge Distribution 


91  (2) 

The Energy of a Continuous Charge Distribution 


93  (2) 

Comments on Electrostatic Energy 


95  (1) 


96  (14) 


96  (2) 


98  (4) 

Surface Charge and the Force on a Conductor 


102  (1) 


103  (7) 


110  (50) 


110  (11) 


110  (1) 

Laplace's Equation in One Dimension 


111  (1) 

Laplace's Equation in Two Dimensions 


112  (2) 

Laplace's Euqation in Three Dimensions 


114  (2) 

Boundary Conditions and Uniqueness Theorems 


116  (2) 

Conductors and the Second Uniqueness Theorem 


118  (3) 


121  (6) 

The Classic Image Problem 


121  (2) 


123  (1) 


123  (1) 


124  (3) 


127  (19) 


127  (10) 


137  (9) 


146  (14) 

Approximate Potentials at Large Distances 


146  (3) 

The Monopole and Dipole Terms 


149  (2) 

Origin of Coordinates in Multipole Expansions 


151  (2) 

The Electric Field of a Dipole 


153  (7) 

Electric Fields in Matter 


160  (42) 


160  (6) 


160  (1) 


160  (3) 

Alignment of Polar Molecules 


163  (3) 


166  (1) 

The Field of a Polarized Object 


166  (9) 


166  (4) 

Physical Interpretation of Bound Charges 


170  (3) 

The Field Inside a Dielectric 


173  (2) 

The Electric Displacement 


175  (4) 

Gauss's Law in the Presence of Dielectrics 


175  (3) 


178  (1) 


178  (1) 


179  (23) 

Susceptibility, Permittivity, Dielectric Constant 


179  (7) 

Boundary Value Problems with Linear Dielectrics 


186  (5) 

Energy in Dielectric Systems 


191  (2) 


193  (9) 


202  (53) 


202  (13) 


202  (2) 


204  (4) 


208  (7) 


215  (6) 


215  (1) 

The Magnetic Field of a Steady Current 


215  (6) 

The Divergence and Curl of B 


221  (13) 


221  (1) 

The Divergence and Curl of B 


222  (3) 

Applications of Ampere's Law 


225  (7) 

Comparison of Magnetostatics and Electrostatics 


232  (2) 

Magnetic Vector Potential 


234  (21) 


234  (6) 

Summary; Magnetostatic Boundary Conditions 


240  (2) 

Multipole Expansion of the Vector Potential 


242  (13) 

Magnetic Fields in Matter 


255  (30) 


255  (8) 

Diamagnets, Paramagnets, Ferromagnets 


255  (1) 

Torques and Forces on Magnetic Dipoles 


255  (5) 

Effect of a Magnetic Field on Atomic Orbits 


260  (2) 


262  (1) 

The Field of a Magnetized Object 


263  (6) 


263  (3) 

Physical Interpretation of Bound Currents 


266  (2) 

The Magnetic Field Inside Matter 


268  (1) 


269  (5) 

Ampere's law in Magnetized Materials 


269  (4) 


273  (1) 


273  (1) 

Linear and Nonlinear Media 


274  (11) 

Magnetic Susceptibility and Permeability 


274  (4) 


278  (7) 


285  (60) 


285  (16) 


285  (7) 


292  (2) 


294  (7) 

Electromagnetic Induction 


301  (20) 


301  (4) 

The Induced Electric Field 


305  (5) 


310  (7) 

Energy in Magnetic Fields 


317  (4) 


321  (24) 

Electrodynamics Before Maxwell 


321  (2) 

How Maxwell Fixed Ampere's Law 


323  (3) 


326  (1) 


327  (1) 

Maxwell's Equations in Matter 


328  (3) 


331  (14) 


345  (19) 


345  (4) 


345  (1) 


346  (3) 


349  (15) 

Newton's Thrid Law in Electrodynamics 


349  (2) 


351  (4) 


355  (3) 


358  (6) 


364  (52) 


364  (11) 


364  (3) 


367  (3) 

Boundary Conditions: Reflection and Transmission 


370  (3) 


373  (2) 

Electromagnetic Waves in Vacuum 


375  (7) 

The Wave Eqation for E and B 


375  (1) 

Monochromatic Plane Waves 


376  (4) 

Energy and Momentum in Electromagnetic Waves 


380  (2) 

Electromagnetic Waves in Matter 


382  (10) 

Propagation in Linear Media 


382  (2) 

Reflection and Transmission at Normal Incidence 


384  (2) 

Reflection and Transmission at Oblique Incidence 


386  (6) 

Absorption and Dispersion 


392  (13) 

Electromagnetic Waves in Conductors 


392  (4) 

Reflection at a Conducting Surface 


396  (2) 

The Frequency Dependence of Permittivity 


398  (7) 


405  (11) 


405  (3) 

TE Waves in a Rectangular Wave Guide 


408  (3) 

The Coaxial Transmission Line 


411  (5) 


416  (27) 

The Potential Formulation 


416  (6) 

Scalar and Vector Potentials 


416  (3) 


419  (2) 

Coulomb Gauge and Lorentz Gauge 


421  (1) 


422  (7) 


427  (1) 


427  (2) 


429  (14) 

LienardWiechert Potentials 


429  (6) 

The Fields of a Moving Point Charge 


435  (8) 


443  (34) 


443  (17) 


443  (1) 

Electric Dipole Radiation 


444  (7) 

Magnetic Dipole Radiation 


451  (3) 

Radiation from an Arbitrary Source 


454  (6) 


460  (17) 

Power Radiated by a Point Charge 


460  (5) 


465  (4) 

The Physical Basis of the Radiation Reaction 


469  (8) 

Electrodynamics and Relativity 


477  (70) 

The Special Theory of Relativity 


477  (30) 


477  (6) 

The Geometry of Relativity 


483  (10) 

The Lorentz Transformations 


493  (7) 

The Structure of Spacetime 


500  (7) 


507  (15) 

Proper Time and Proper Velocity 


507  (2) 

Relativistic Energy and Momentum 


509  (2) 


511  (5) 


516  (6) 

Relativistic Electrodynamics 


522  (25) 

Magnetism as a Relativistic Phenomenon 


522  (3) 


525  (10) 


535  (2) 

Electrodynamics in Tensor Notation 


537  (4) 


541  (6) 
A Vector Calculus in Curvilinear Coordinates 

547  (8) 


547  (1) 


547  (1) 


548  (1) 


549  (3) 


552  (2) 


554  (1) 
B The Helmholtz Theorem 

555  (3) 
C Units 

558  (4) 
Index 

562  