The static electromagnetic field 3.1 Static fields and steady currents Perhaps the most carefully studied area of electromagnetics is that in which the fields are time-invariant. This area, known generally as statics, offers (1)the most direct opportunities for solution of the governing equations, and (2)the clearest physical pictures
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2.1 The postulate In 1864, James Clerk Maxwell proposed one of the most successful theories in the history of science. In a famous memoir to the Royal Society [125] he presented nine equations summarizing all known laws on electricity and magnetism. This was more than a mere cataloging of the laws of nature. By postulating the need for an additional term to make the set of equations self-consistent
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1.1 Notation, conventions, and symbology Any book that covers a broad range of topics will likely harbor some problems with notation and symbology. This results from having the same symbol used in different areas to represent different quantities, and also from having too many quantities to represent
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Appendix E Properties of special functions E.1 Bessel functions Notation
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Appendix D Coordinate systems Rectangular coordinate system Coordinate variables
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Appendix C Some Fourier transform pairs Note:
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Appendix B Useful identities Algebraic identities for vectors and dyadics A + B = B + A (B.1) A · B = B · A (B.2)
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A.1 The Fourier transform The Fourier transform permits us to decompose a complicated field structure into elemental components. This can simplify the computation of fields and provide physical insight into their spatiotemporal behavior. In this section we review the properties of the transform and demonstrate its usefulness in solving field equations
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近年来,统计物理领域中出现了许多鼓舞人心的进展各态 历经理论、非线性化学物理、随机理论、量子流体、临界现象、 流体力学以及输运理论等方面的新结果,使这门学科发生了革命 性的变化
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I. Choose the Correct Answer 1. A particle moves with position given by r ti j = 3 ˆ + 4 ˆ v , where r v is measured in meters when t is measured in seconds. For each of the following, consider only t > 0. The magnitude of the angular momentum of this particle about the origin is ( B )
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