By Bossavit A.
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Extra resources for Computational electromagnetism
Lai: “Alternative choice for the energy flow vector of the electromagnetic field”, Am. J. , 49 (1981), pp. 841–843. G. Lombardi: “Feynman's disk paradox”, Am. J. , 51, 3 (1983), pp. 213–214. P. Lorrain: “Alternative choice for the energy flow vector of the electromagnetic field”, Am. J. , 50, 6 (1982), p. 492. D. P. ), 1996. M. Mason, W. Weaver: The Electromagnetic Field, University of Chicago (Chicago), 1929 (Dover edition). C. , 1891 (Dover edition, New York, 1954). W. S. A. Wheeler: Gravitation, Freeman (New York), 1973.
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Thus, there can exist a permanent charge imbalance at some places in the conductor. But Lorentz force acts on this charge packet. Why doesn’t it move? 1. Don’t worry about differentiability issues: Assume all fields are smooth. 2. Imitate the classical computation about the convective derivative in fluid dynamics (which is very close to our treatment of charge conservation, p. 4) . 3. For x → a × x, divergence: 0, curl: 2a. For x → x, curl-free, the divergence is the constant scalar field x → 3.
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