## Classical Electromagnetic Theory (Google eBook)This book is a self contained course in electromagnetic theory suitable for senior physics and electrical engineering students as well as graduate students whose past has not prepared them well for books such as Jackson or Landau and Lifschitz. The text is liberally sprinkled with worked examples illustrating the application of the theory to various physical problems. This new edition features improved accuracy and readability, added and further clarified examples, plus additional sections on Schwarz-Christoffel mappings. Making the book more self sufficient, an appendix on orthogonal function expansions and the derivation of Bessel functions and Legendre polynomials as well as derivation of their generating functions are each included. The number of exercises has also been increased by 45 over the previous edition. This book stresses the unity of electromagnetic theory with electric and magnetic fields developed in parallel. SI units are used throughout and considerable use is made of tensor notation and the Levi-Cevita symbol. To more closely display the parallelism, extensive use is made of the scalar magnetic potential particularly in dealing with the Laplace and Poisson equation. 85 worked problems illustrate the theory. Conformal mappings are dealt with in some detail. Relevant mathematical material is provided in appendices. For information regarding Solutions Manual, please contact the author Jack Vanderlinde at: jvd@unb.ca or see 'Related Links - Solution Manual'. |

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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 |

### Common terms and phrases

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