| TEXTBOOK CONTENTS | FILES |
|---|---|
| Front-End Matter | |
Title page (PDF) Dedication (PDF) Preface (PDF) Note to the student and instructor (PDF) Table of contents, ix-xix (PDF) Title page 2 (PDF) Solutions to selected problems, pp. 699-710 (PDF) Index, pp. 711-723 (PDF) Useful equations and constants (PDF) | |
| Chapter 1: Review of Vector Analysis, pp. 1-48 (PDF - 1.2 MB) | |
1.1 Coordinate systems, pp. 2-7 1.2 Vector Algebra, pp. 7-16 1.3 The gradient and the del operator, pp. 16-21 1.4 Flux and divergence, pp. 21-28 1.5 The Curl and Stokes' theorem, pp. 28-39 Problems, pp. 39-48 | Sections 1.1-1.5 (PDF) Problems (PDF) |
| Chapter 2: The Electric Field, pp. 49-134 (PDF - 2.4 MB) | |
2.1 Electric charge, pp. 50-54 2.2 The Coulomb force law between stationary charges, pp. 54-59 2.3 Charge distributions, pp. 59-72 2.4 Gauss's law, pp. 72-84 2.5 The electric potential, pp. 84-93 2.6 The method of images with line charges and cylinders, pp. 93-103 2.7 The method of images with point charges and spheres, pp. 103-110 Problems, pp. 110-134 | Sections 2.1-2.7 (PDF - 1.8 MB) Problems (PDF) |
| Chapter 3: Polarization and Conduction, pp. 135-256 (PDF - 3.8 MB) | |
3.1 Polarization, pp. 136-152 3.2 Conduction, pp. 152-161 3.3 Field boundary conditions, 161-169 3.4 Resistance, pp. 169-173 3.5 Capacitance, pp. 173-181 3.6 Lossy media, pp. 181-197 3.7 Field-dependent space charge distributions, pp. 197-204 3.8 Energy stored in a dielectric medium, pp. 204-213 3.9 Fields and their forces, pp. 213-223 3.10 Electrostatic generators, pp. 223-231 Problems, pp. 231-256 | Sections 3.1-3.10 (PDF - 3.0 MB) Problems (PDF) |
| Chapter 4: Electric Field Boundary Value Problems, pp. 257-312 (PDF - 1.6 MB) | |
4.1 The uniqueness theorem, pp. 258-259 4.2 Boundary value problems in Cartesian geometries, pp. 259-271 4.3 Separation of variables in cylindrical geometry, pp. 271-284 4.4 Product solutions in spherical geometry, pp. 284-297 4.5 A numerical method-successive relaxation, pp. 297-301 Problems, pp. 301-312 | Sections 4.1-4.5 (PDF - 1.3 MB) Problems (PDF) |
| Chapter 5: The Magnetic Field, pp. 313-392 (PDF - 2.2 MB) | |
5.1 Forces on moving charges, pp. 314-322 5.2 Magnetic field due to currents, pp. 322-332 5.3 Divergence and curl of the magnetic field, pp. 332-336 5.4 The vector potential, pp. 336-343 5.5 Magnetization, pp. 343-359 5.6 Boundary conditions, pp. 359-361 5.7 Magnetic field boundary value problems, pp. 361-368 5.8 Magnetic fields and forces, pp. 368-375 Problems, pp. 375-392 | Sections 5.1-5.8 (PDF - 1.7 MB) Problems (PDF) |
| Chapter 6: Electromagnetic Induction, pp. 393-486 (PDF - 2.6 MB) | |
6.1 Faraday's law of induction, pp. 395-405 6.2 Magnetic circuits, pp. 405-417 6.3 Faraday's law for moving media, pp. 417-435 6.4 Magnetic diffusion into an ohmic conductor, pp. 435-451 6.5 Energy stored in the magnetic field, pp. 451-460 6.6 The energy method for forces, pp. 460-465 Problems, pp. 465-486 | Sections 6.1-6.6 (PDF - 2.1 MB) Problems (PDF) |
| Chapter 7: Electrodynamics-Fields and Waves, pp. 487-566 (PDF - 2.4 MB) | |
7.1 Maxwell's equations, pp. 487-490 7.2 Conservation of energy, pp. 490-496 7.3 Transverse electromagnetic waves, pp. 496-505 7.4 Sinusoidal time variations, pp. 505-520 7.5 Normal incidence onto a perfect conductor, pp. 520-522 7.6 Normal incidence onto a dielectric, pp. 522-529 7.7 Uniform and nonuniform plane waves, pp. 529-534 7.8 Oblique incidence onto a perfect conductor, pp. 534-538 7.9 Oblique incidence onto a dielectric, pp. 538-544 7.10 Applications to optics, pp. 544-552 Problems, pp. 552-566 | Sections 7.1-7.10 (PDF - 1.9 MB) Problems (PDF) |
| Chapter 8: Guided Electromagnetic Waves, pp. 567-662 (PDF - 2.9 MB) | |
8.1 The transmission line equations, pp. 568-579 8.2 Transmission line transient waves, pp. 579-595 8.3 Sinusoidal time variations, pp. 595-607 8.4 Arbitrary impedance terminations, pp. 607-620 8.5 Stub tuning, pp. 620-629 8.6 The rectangular waveguide, pp. 629-644 8.7 Dielectric waveguide, pp. 644-649 Problems, pp. 649-662 | Sections 8.1-8.7 (PDF - 2.6 MB) Problems (PDF) |
| Chapter 9: Radiation, pp. 663-698 (PDF) | |
9.1 The retarded potentials, pp. 664-667 9.2 Radiation from point dipoles, pp. 667-681 9.3 Point dipole arrays, pp. 681-687 9.4 Long dipole antennas, pp. 687-694 Problems, pp. 695-698 | Sections 9.1-9.4 (PDF) Problems (PDF) |
Table of Contents
Electromagnetic Field Theory Textbook
Electromagnetic Field Theory Textbook
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MIT OpenCourseWare is pleased to make this textbook available online. First published in 1979 by John Wiley and Sons, Inc., this book is a useful resource for educators and self-learners alike. The book was reprinted in 1987 and again in 2003 with corrections by Krieger Publishing Company.
A student can learn the difficult subject of electromagnetic field theory through the many worked examples emphasizing physical processes, devices, and models. This book features carefully drawn diagrams and answers to selected problems.
From the preface:
This text is an introductory treatment on the junior level for a two-semester electrical engineering course starting from the Coulomb-Lorentz force law on a point charge. The theory is extended by the continuous superposition of solutions from previously developed simpler problems leading to the general integral and differential field laws. Often the same problem is solved by different methods so that the advantages and limitations of each approach becomes clear. Sample problems and their solutions are presented for each new concept with great emphasis placed on classical models of physical phenomena such as polarization, conduction, and magnetization. A large variety of related problems that reinforce the text material are included at the end of each chapter for exercise and homework.
It is expected that students have had elementary courses in calculus that allow them to easily differentiate and integrate simple functions. The text tries to keep the mathematical development rigorous but simple by typically describing systems with linear, constant coefficient differential and difference equations.
The text is subdivided into three main subject areas:
- Charges as the source of the electric field coupled to polarizable and conducting media with negligible magnetic field;
- Currents as the source of the magnetic field coupled to magnetizable media with electromagnetic induction generating an electric field; and
- Electrodynamics where electric and magnetic fields are of equal importance resulting in radiating waves.
Wherever possible, electrodynamic solutions are examined in various limits to illustrate the appropriateness of the previously developed quasi-static circuit theory approximations.
The citation for the out-of-print edition is:
Zahn, Markus. Electromagnetic Field Theory: A Problem Solving Approach. Malabar, FL: Krieger Publishing Company, 2003. ISBN: 9781575242354. First published 1979 by John Wiley and Sons, Inc. ISBN: 9780471021988.
This textbook is used in the courses 6.013J/ESD.013J and 6.641.
Electromagnetic Field Theory as one file: (PDF 1 of 3 - 7.9 MB) (PDF 2 of 3 - 6.4 MB) (PDF 3 of 3 - 6.9 MB)
Electromagnetic Field Theory Textbook Components
For any use or distribution of this textbook, please cite as follows:
Markus Zahn, Electromagnetic Field Theory. (Massachusetts Institute of Technology: MIT OpenCourseWare). http://ocw.mit.edu (accessed MM DD, YYYY). License: Creative Commons Attribution-NonCommercial-Share Alike.