Introduction to Electromagnetic Theory

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English Pages 518 Year 1963

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Introduction to Electromagnetic Theory

Table of contents :
A. Work ......Page 13
B. The Conservative Force ......Page 15
C. Conservation of Energy ......Page 18
A. Definition of Charge ......Page 20
B. Coulomb’s Law ......Page 23
C. The Electric Field Intensity ......Page 26
D. The Electrostatic Potential ......Page 30
E. The Total Stored Energy in a System of Point Charges ......Page 33
F. Gauss’s Law for Point Charges ......Page 39
G. Point Chagre Multipoles: The Singlet ......Page 48
H. Point Charge Multipoles: The Electric Dipole ......Page 49
I. Point Charge Multipoles: The Rectangular Quadrupole ......Page 58
J. The Multipole Expansion ......Page 63
A. Singlet Distributions ......Page 71
B. Distributions of Doublets ......Page 80
C. Distributions of Quadrupoles ......Page 87
D. Gauss’s Law and Poisson’s Equation ......Page 91
E. The Energy Stored in the Electrostatic Field ......Page 100
A. Electrical Behavior of Materials ......Page 104
B. Conductors ......Page 105
C. Dielectrics ......Page 125
D. Electrostatic Capacity and Condensers ......Page 153
A. Currents ......Page 171
B. Charge Conservation and the Continuity Equation ......Page 173
C. Electromotive Force ......Page 175
D. Ohm’s Law ......Page 177
E. Steady State Circuit Theory ......Page 180
A. The Definition of the Magnetic Induction Field ......Page 190
B. The Lorentz Force ......Page 192
C. The Motion of Charged Particles ......Page 193
D. Forces and Torques on Current Loops ......Page 198
A. Ampere’s Law ......Page 207
B. The Second Maxwell Equation ......Page 209
C. Extended Current Distributions ......Page 211
E. The Multipole Expansion ......Page 223
F. Ampere’s Circuital Law ......Page 225
G. The Energy Stored in a Steady State Current Distribution ......Page 233
A. Faraday’s Law ......Page 243
B. Systems of Stationary Loops ......Page 246
C. Motional Emf’s ......Page 253
A. The Magnetic Field of a Continuous Distribution of Moments ......Page 258
B. Expansion of  in Terms of Microscopic and Macroscopic Currents ......Page 268
C. The Energy Stored in a System Containing Currents and Magnetic Moments ......Page 270
D. The Magnetic Permeability and the Magnetic Susceptibility ......Page 272
E. The Magnetic Properties of Matter ......Page 275
A. The Displacement Current ......Page 297
B. A Summary of the Electromagnetic Equations ......Page 300
C. The Potentials and the Gauge ......Page 301
D. The Energy Stored in the Electromagnetic System ......Page 304
E. The Field Equations ......Page 308
A. Waves in Nonconducting Media ......Page 313
B. Reflections from Conducting Surfaces ......Page 323
C. Guided Waves ......Page 326
D. Spherical Waves ......Page 329
E. Sources of the Radiation Field ......Page 339
A. Introduction ......Page 347
B. Elementary Voltage and Current Relations ......Page 348
C. Transients in Elementary Circuits ......Page 349
D. Forced Oscillations of an LRC Circuit ......Page 355
E. Series and Parallel Circuits ......Page 358
F. Networks ......Page 362
Appendix ......Page 369
Appendix A: Vectors and Geometry ......Page 370
Appendix B: Matrices ......Page 390
Appendix C: The Complete Elliptic Functions ......Page 403
Appendix D: Partial Differential Equations ......Page 405
Appendix E: Fourier Series ......Page 418
Appendix F: Conformal Transformations ......Page 430
Appendix G: Physical Constants ......Page 448
Problems ......Page 453
Index ......Page 513

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