Relativity and Engineering
The 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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Kinematics in Inertial Axes
Vacuum Electrodynamics in Inertial Axes
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acceleration according angle application arbitrary assume axes becomes body calculations charge components conducting conductor Consider constant contains coordinates corresponding coso curl cylinder defined density derived determine dielectric difference direction discussed distance effect electric electromagnetic electron energy equal equations evaluate example experiment expression fields follows force frame frequency function given gives gravitational hence holds important incident integral laboratory leads length Lorentz magnetic mass matter Maxwell's equations means measured medium method metric motion moving observer obtained origin parallel particle particular perpendicular plane polarization position present problem produced radiation reference reflected relationship relativistic relativity respect rest rest mass rotating satisfy scattered seen shown shows signal simple slab solution solved sources space stationary surface takes tensor tion transformation uniform unit vanish vector velocity volume wave written yields zero