Electromagnetic Field Theory: A Problem Solving Approach

by Markus Zahn

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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.

Description from LibreTexts.

Publisher
Massachusetts Institute of Technology
Subjects
Engineering, Electrical Engineering
Licence
CC BY-NC-SA 4.0, as LibreTexts states it. Non-commercial use only.
Who can read
Tweens profiles and older, judged from its title and subjects

Contents

LibreTexts writes equations in TeX, and here they show as TeX; the PDF has them typeset.

  1. Front Matter
  2. TitlePage
  3. InfoPage
  4. Table of Contents
  5. Licensing
  6. 1: Review of Vector Analysis
  7. 1.1: Coordinate Systems
  8. 1.2: Vector Algebra
  9. 1.3: The Gradient and the Del Operator
  10. 1.4: Flux and Divergence
  11. 1.5: The Curl and Stokes' Theorem
  12. 1.6: Problems
  13. 2: The Electric Field
  14. 2.1: Electric Charge
  15. 2.2: The Coulomb Force Law Between Stationary Charges
  16. 2.3: Charge Distributions
  17. 2.4: Gauss's Law
  18. 2.5: The Electric Potential
  19. 2.6: The Method of Images with Line Charges and Cylinders
  20. 2.7: The Method of Images with Point Charges and Spheres
  21. 2.8: Problems
  22. 3: Polarization and Conduction
  23. 3.1: Polarization
  24. 3.2: Conduction
  25. 3.3: Field Boundary Conditions
  26. 3.4: Resistance
  27. 3.5: Capacitance
  28. 3.6: Lossy Media
  29. 3.7: Field-dependent Space-Charge Distributions
  30. 3.8: Energy Stored in a Dielectric Medium
  31. 3.9: Fields and their Forces
  32. 3.10: Electrostatic Generators
  33. 3.11: Problems
  34. 4: Electric Field Boundary Value Problems
  35. 4.1: The Uniqueness Theorem
  36. 4.2: Boundary Value Problems in Cartesian Geometries
  37. 4.3: Separation of Variables in Cylindrical Geometry
  38. 4.4: Product Solutions in Spherical Geometry
  39. 4.5: A Successive Method - Numerical Relaxation
  40. 4.6: Problems
  41. 5: The Magnetic Field
  42. 5.1: Forces on Moving Charges
  43. 5.2: Magnetic Field Due to Currents
  44. 5.3: Divergence and Curl of the Magnetic Field
  45. 5.4: The Vector Potential
  46. 5.5: Magnetization
  47. 5.6: Boundary Conditions
  48. 5.7: Magnetic Field Boundary Value Problems
  49. 5.8: Magnetic Fields and Forces
  50. 5.9: Problems
  51. 6: Electromagnetic Induction
  52. 6.1: Faraday's Law of Induction
  53. 6.2: Faraday's Law for Moving Media
  54. 6.3: Energy Stored in the Magnetic Field
  55. 6.4: The Energy Method for Forces
  56. 6.5: Energy Stored in The Magnetic Field
  57. 6.6: The Energy Method for Forces
  58. 6.7: Problems
  59. 7: Electrodynamics - Fields and Waves
  60. 7.1: Maxwell's Equations
  61. 7.2: Conservation of Energy
  62. 7.3: Transverse Electromagnetic Waves
  63. 7.4: Sinusoidal Time Variations
  64. 7.5: Normal Incidence onto a Perfect Conductor
  65. 7.6: Normal Incidence onto a Dielectric
  66. 7.7: Uniform and Nonuniform Plane Waves
  67. 7.8: Oblique Incidence onto a Perfect Conductor
  68. 7.9: Oblique Incidence Onto a Dielectric
  69. 7.10: Applications to Optics
  70. 7.11: Problems
  71. 8: Guided Electromagnetic Waves
  72. 8.1: The Transmission Line Equations
  73. 8.2: Transmission Line Transient Waves
  74. 8.3: Sinusoidal Time Variations
  75. 8.4: Arbitrary Tions
  76. 8.5: Stub Tuning
  77. 8.6: The Rectangular Waveguide
  78. 8.7: Dielectric Waveguide
  79. 8.8: Problems
  80. 9: Radiation
  81. 9.1: The Retarded Potentials
  82. 9.2: Radiation from Point Dipole
  83. 9.3: Point Dipole Arrays
  84. 9.4: Long Dipole Antennas
  85. 9.5: Problems
  86. Back Matter
  87. Index
  88. Glossary
  89. Detailed Licensing