Electromagnetic Fields and WavesIntended for advanced undergraduate and graduate students, this well-known and popular textbook provides an introduction to the physical principles, mathematical apparatus, and typical applications of classical electromagnetic theory. Beginning with the notion of scalar fields, Professor Rojansky leads the student through vectors and vector fields, the laws of Ohm, Joule, Coulomb, and Faraday, static electricity, and continues all the way to Maxwell's equations for bodies at rest, and to examples of electromagnetic waves. A particularly useful feature of the book is the author's introduction and explanation of the necessary mathematics as he goes along, rather than presuming student understanding. Although an extensive background is not necessary, a general knowledge of physics and calculus is a prerequisite. Throughout the book, the development of each topic is explicit and unhurried, an approach intended to avoid basic misconceptions that lead to major misunderstandings later on. Short exercises help the student test his grasp of the material, and the text is studded with diagrams and illustrations that supplement the content and elucidate many hard-to-visualize concepts. The book ends at a point where the use of Maxwell's equations in several important problems has been illustrated, and students are prepared to proceed to a variety of further topics. Professor Rojansky brings many years of experience both as a teacher and a scientist (including ten years of advanced research at TRW Space Technologies Laboratories) to this lucid discussion of the fundamentals of electromagnetic fields and waves. His extensive pedagogical background enables him to communicate difficult concepts with great clarity. |
Contents
Scalar Fields | 1 |
Mathematical Notes | 23 |
Curves and Surfaces | 42 |
Vectors | 56 |
Current and Current Density | 72 |
Vector Fields | 89 |
The Flux Integral | 109 |
Source Density and the Divergence | 121 |
Integral and Differential Forms of Coulombs Law | 238 |
Examples of Solutions of Laplaces Equation | 253 |
Charged Conductors and Capacitors | 269 |
Electric Energy Density and Displacement Current | 280 |
Cross Products and Curls | 287 |
Static Magnetic Fields in Nonmagnetic Mediums | 304 |
Magnetomotive Force | 322 |
Faradays Law of Induction | 338 |
Cylindrical and Spherical Coordinates | 134 |
Conservation of Charge | 149 |
Electric Intensity and the Laws of Coulomb Ohm and Joule | 158 |
Electromotive Force | 173 |
Conservative Electric Fields | 192 |
Coulombs Law in Rationalized Form | 216 |
Maxwells Equations Wave Equations and the Flow of Energy | 364 |
Radiation from a Short Antenna | 375 |
Plane Electromagnetic Waves | 388 |
Rectangular Waveguides with Perfectly Conducting Walls | 410 |
Magnetic Vector Potential | 429 |
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Common terms and phrases
ampere antenna axis called capacitor charge density charge q circuit circular closed surface compute conduction conductor constant contour coordinate frame copper coulomb Coulomb's law cross curl F current density current flowing current-carrying cylindrical denote derive dielectric direction displacement current div F electric charge electric field electric intensity electromagnetic electromotive force electrons electrostatic energy equal example Exercise Faraday Faraday's field E field F field lines Figure force formula function grad f hence hole inside integral Laplace's equation line map located loop magnetic field magnitude Maxwell's equations metal meter negative path pictured in Fig plate pointer positive charge potential Poynting's vector radius region right-hand side scalar field shown in Fig solenoid solid angle space spherical surface charges tangential component test charge torque vacuum vector field Verify wave wire write xy plane zero ωτ ду дх