## Relativity and EngineeringThe main feature of this book is the emphasis on "practice". This approach, unusual in the relativistic literature, may be clarified by quoting some problems discussed in the text: - the analysis of rocket acceleration to relativistic velocities - the influence of gravitational fields on the accuracy of time measurements - the operation of optical rotation sensors - the evaluation of the Doppler spectrum produced by the linear (or ro- tional) motion of an antenna or scatterer - the use of the Cerenkov effect in the design of millimeter-wave power generators - the influence of the motion of a plasma on the transmission of electrom- netic waves through this medium. A correct solution of these (and analogous) problems requires the use of re lativistic principles. This remark remains valid even at low velocities, since first-order terms in (v/c) often playa fundamental role in the equations. The "applicational" approach used in the text should be acceptable to space engineers, nuclear engineers, electrical engineers, and more generally, ap plied physicists. Electrical engineers, in particular, are concerned with re lativity by way of the electrodynamics of moving bodies. This discipline is of decisive importance for power engineers, who are confronted with problems such as - the justification of a forcing function (-D~/Dt) in the circuit equation of a moving loop - a correct formulation of Maxwell's equations in rotating coordinate systems - the resolution of "sliding contact" paradoxes - a theoretically satisfying analysis of magnetic levitation systems. |

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### Contents

Dynamics in Inertial Axes | 34 |

Vacuum Electrodynamics in Inertial Axes | 69 |

+ Fields in Media in Uniform Translation | 106 |

BoundaryValue Problems for Media in Uniform Translation | 129 |

Electromagnetic Forces and Energy | 178 |

Problems | 203 |

Gravitation | 230 |

Problems | 261 |

Electromagnetism of Accelerated Bodies | 283 |

Field Problems in a Gravitational Field | 320 |

Appendix A Complements of Kinematics and Dynamics e o e s | 358 |

Basis Vectors | 364 |

List of Symbols | 371 |

References | 379 |

397 | |

Problems | 281 |

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acceleration angle application arbitrary assume body boundary conditions charge density Christoffel symbols clock conductor constant constitutive equations contravariant components covariant components current density cylinder defined derived dipole discussed in Sect Doppler Doppler shift dyadic Einstein electric field electromagnetic tensor electron energy evaluate example expression first-order force four-vector four-velocity Fourier frequency function given gives grad gravitational field hence IEEE incident field incident wave induction inertial frame laboratory frame linear Lorentz transformation magnetic field Maxwell's equations medium metric tensor mirror momentum motion moving with velocity observer obtained or/c particle perpendicular photon Phys plane wave plasma polarization problem propagation radiation reflected relationship relativistic relativity respect rest axes rest frame rest mass rotating coordinates Sagnac effect Schwarzschild metric Shiozawa shows slab solution solve sources space spectrum sphere static stationary surface three-dimensional tion transformation equations uniform vanish volume density wherein yields zero