## Classical Electromagnetic TheoryIn questions of science, the authority of a thousand is not worth the humble reasoning of a single individual. Galileo Galilei, physicist and astronomer (1564-1642) This book is a second edition of “Classical Electromagnetic Theory” which derived from a set of lecture notes compiled over a number of years of teaching elect- magnetic theory to fourth year physics and electrical engineering students. These students had a previous exposure to electricity and magnetism, and the material from the ?rst four and a half chapters was presented as a review. I believe that the book makes a reasonable transition between the many excellent elementary books such as Gri?th’s Introduction to Electrodynamics and the obviously graduate level books such as Jackson’s Classical Electrodynamics or Landau and Lifshitz’ Elect- dynamics of Continuous Media. If the students have had a previous exposure to Electromagnetictheory, allthematerialcanbereasonablycoveredintwosemesters. Neophytes should probable spend a semester on the ?rst four or ?ve chapters as well as, depending on their mathematical background, the Appendices B to F. For a shorter or more elementary course, the material on spherical waves, waveguides, and waves in anisotropic media may be omitted without loss of continuity. |

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### Contents

Exercises and problems | 30 |

Exercises and Problems | 47 |

ix | 66 |

Exercises and Problems | 67 |

Exercises and Problems | 91 |

Exercises and Problems | 139 |

Exercises and Problems | 163 |

Chapter 7Static Electromagnetic Fields in Matter | 165 |

Exercises and Problems | 328 |

Exercises and Problems | 342 |

Tensors | 353 |

Curvilinear Coordinates | 360 |

FourTensors in Special Relativity | 369 |

Appendix DOrthogonal Function Expansions | 377 |

Appendix EBessel Functions | 383 |

Related Functions | 387 |

Exercises and Problems | 208 |

Exercises and Problems | 241 |

Exercises and Problems | 266 |

Exercises and Problems | 310 |

Appendix FLegendre Polynomials and Spherical Harmonics | 393 |

Appendix GTable of Symbols | 403 |

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accelerated angle angular Bessel functions boundary conditions charge density charge distribution charge q charged particle components conductor constant coordinate system Coulomb’s law covariant curl current loop cylinder dielectric differential distance divergence theorem easily electric field electromagnetic electron energy evaluate Example expansion expression ﬁeld Figure ﬁnd ﬁrst flux force frequency gives Green’s function image charge inside interface Laplace’s equation Legendre line charge linear magnetic dipole magnetic field magnetic induction field magnetic monopoles magnetic scalar potential mapping Maxwell’s equations metric tensor modes momentum obtain parallel perpendicular plate point charge polar coordinates Poynting vector problem quadrupole radiation result scalar potential sin2 solution solve sphere of radius spherical harmonics spherical polar surface charge surface integral transformation vanishes vector potential velocity volume wave equation waveguide wire write x-y plane zero