## 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. |

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### Contents

Scalar Fields | 1 |

Mathematical Notes | 23 |

Curves and Surfaces | 42 |

Copyright | |

119 other sections not shown

### Other editions - View all

Electromagnetic Fields and Waves Vladimir Borisovich Rojansky,Vladimir Rojansky Limited preview - 1971 |

### Common terms and phrases

ampere antenna axis base-vectors called capacitor charge density charge q circuit circular closed surface compute conduction conductor Consequently constant contour coordinate frame copper coulomb Coulomb's law cross curl F current density current flowing current-carrying cylindrical defined denote derive dielectric direction displacement current electric charge electric field electric intensity electromagnetic electrons electrostatic energy equal example Exercise Faraday's field E field F field lines Figure force formula function grad hence hole inside integral Laplace's equation line map located loop magnetic field magnetic flux magnitude Maxwell's equations metal meter negative path pictured in Fig plate pointer positive charge potential Poynting's vector radius region right-hand rule right-hand side scalar field shown in Fig solenoid solid angle source density space spherical surface charges tangential component test charge tion torque vacuum vector field Verify wave wire write xy plane zero zx plane