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Electromagnetic Field Theory: A Problem Solving Approach

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Electromagnetic Field Theory: A Problem Solving Approach

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.

Electrical EngineeringEngineering
Author
Markus Zahn
Publisher
Massachusetts Institute of Technology
Source
LibreTexts
License
CC BY-NC-SA
Language
EN
Read online Download PDF (open licence)
Contents· 80 sections
  1. 01: Review of Vector Analysis
  2. 1.01: Coordinate Systems
  3. 1.02: Vector Algebra
  4. 1.03: The Gradient and the Del Operator
  5. 1.04: Flux and Divergence
  6. 1.05: The Curl and Stokes' Theorem
  7. 1.06: Problems
  8. 02: The Electric Field
  9. 2.01: Electric Charge
  10. 2.02: The Coulomb Force Law Between Stationary Charges
  11. 2.03: Charge Distributions
  12. 2.04: Gauss's Law
  13. 2.05: The Electric Potential
  14. 2.06: The Method of Images with Line Charges and Cylinders
  15. 2.07: The Method of Images with Point Charges and Spheres
  16. 2.08: Problems
  17. 03: Polarization and Conduction
  18. 3.01: Polarization
  19. 3.02: Conduction
  20. 3.03: Field Boundary Conditions
  21. 3.04: Resistance
  22. 3.05: Capacitance
  23. 3.06: Lossy Media
  24. 3.07: Field-dependent Space-Charge Distributions
  25. 3.08: Energy Stored in a Dielectric Medium
  26. 3.09: Fields and their Forces
  27. 3.10: Electrostatic Generators
  28. 3.11: Problems
  29. 04: Electric Field Boundary Value Problems
  30. 4.01: The Uniqueness Theorem
  31. 4.02: Boundary Value Problems in Cartesian Geometries
  32. 4.03: Separation of Variables in Cylindrical Geometry
  33. 4.04: Product Solutions in Spherical Geometry
  34. 4.05: A Successive Method - Numerical Relaxation
  35. 4.6: Problems
  36. 05: The Magnetic Field
  37. 5.01: Forces on Moving Charges
  38. 5.02: Magnetic Field Due to Currents
  39. 5.03: Divergence and Curl of the Magnetic Field
  40. 5.04: The Vector Potential
  41. 5.05: Magnetization
  42. 5.06: Boundary Conditions
  43. 5.07: Magnetic Field Boundary Value Problems
  44. 5.08: Magnetic Fields and Forces
  45. 5.09: Problems
  46. 06: Electromagnetic Induction
  47. 6.01: Faraday's Law of Induction
  48. 6.02: Faraday's Law for Moving Media
  49. 6.03: Energy Stored in the Magnetic Field
  50. 6.04: The Energy Method for Forces
  51. 6.05: Energy Stored in The Magnetic Field
  52. 6.06: The Energy Method for Forces
  53. 6.07: Problems
  54. 07: Electrodynamics-fields and Waves
  55. 7.01: Maxwell's Equations
  56. 7.02: Conservation of Energy
  57. 7.03: Transverse Electromagnetic Waves
  58. 7.04: Sinusoidal Time Variations
  59. 7.05: Normal Incidence onto a Perfect Conductor
  60. 7.06: Normal Incidence onto a Dielectric
  61. 7.07: Uniform and Nonuniform Plane Waves
  62. 7.08: Oblique Incidence onto a Perfect Conductor
  63. 7.09: Oblique Incidence Onto a Dielectric
  64. 7.10: Applications to Optics
  65. 7.11: Problems
  66. 08: Guided Electromagnetic Waves
  67. 8.01: The Transmission Line Equations
  68. 8.02: Transmission Line Transient Waves
  69. 8.03: Sinusoidal Time Variations
  70. 8.04: Arbitrary Tions
  71. 8.05: Stub Tuning
  72. 8.06: The Rectangular Waveguide
  73. 8.07: Dielectric Waveguide
  74. 8.08: Problems
  75. 09: Radiation
  76. 9.01: The Retarded Potentials
  77. 9.02: Radiation from Point Dipole
  78. 9.03: Point Dipole Arrays
  79. 9.04: Long Dipole Antennas
  80. 9.05: Problems