Remarks on balance laws in electromagnetism

Angelo Morro

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1993)

  • Volume: 4, Issue: 3, page 231-236
  • ISSN: 1120-6330

Abstract

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Two aspects of balance equations in electromagnetism are considered. First, concerning Faraday's law and Ampere's law it is emphasized that appropriate treatment of the time derivative of an integral over a time-dependent surface eliminates ambiguities occurring in various presentations of the subject. Second, standard forms of energy balance are shown not to be equivalent in the case of materials with memory.

How to cite

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Morro, Angelo. "Remarks on balance laws in electromagnetism." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 4.3 (1993): 231-236. <http://eudml.org/doc/244116>.

@article{Morro1993,
abstract = {Two aspects of balance equations in electromagnetism are considered. First, concerning Faraday's law and Ampere's law it is emphasized that appropriate treatment of the time derivative of an integral over a time-dependent surface eliminates ambiguities occurring in various presentations of the subject. Second, standard forms of energy balance are shown not to be equivalent in the case of materials with memory.},
author = {Morro, Angelo},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Faraday's law; Time-dependent surface; Energy balance},
language = {eng},
month = {9},
number = {3},
pages = {231-236},
publisher = {Accademia Nazionale dei Lincei},
title = {Remarks on balance laws in electromagnetism},
url = {http://eudml.org/doc/244116},
volume = {4},
year = {1993},
}

TY - JOUR
AU - Morro, Angelo
TI - Remarks on balance laws in electromagnetism
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1993/9//
PB - Accademia Nazionale dei Lincei
VL - 4
IS - 3
SP - 231
EP - 236
AB - Two aspects of balance equations in electromagnetism are considered. First, concerning Faraday's law and Ampere's law it is emphasized that appropriate treatment of the time derivative of an integral over a time-dependent surface eliminates ambiguities occurring in various presentations of the subject. Second, standard forms of energy balance are shown not to be equivalent in the case of materials with memory.
LA - eng
KW - Faraday's law; Time-dependent surface; Energy balance
UR - http://eudml.org/doc/244116
ER -

References

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  1. MAUGIN, G. A., Continuum Mechanics of Electromagnetic Solids. North Holland, New York1988. Zbl0652.73002MR954611
  2. TRUESDELL, C. - TOUPIN, R. A., The classical field theories. In: Encyclopedia of Physics, III/1. Springer, Berlin1960. MR118005
  3. JACKSON, J. D., Classical Electrodynamics. Wiley, New York1962. Zbl0997.78500MR436782
  4. STRATTON, J., Electromagnetic Theory. McGraw-Hill, New York1941. JFM67.1119.01
  5. FRANCESCHETTI, G., Campi elettromagnetici. Boringhieri, Torino1983. 
  6. SOMMERFELD, A., Electrodynamics. Academic, New York1952. Zbl0047.43904
  7. NOVOZILOV, JU. - JAPPA, JU., Elettrodinamica. MIR, Moscow1987. 
  8. LORRAIN, P. - CORSON, D. R., Electromagnetism. Freeman, New York1962. 
  9. JOHNK, C. T. A., Engineering Electromagnetic Field and Waves. Wiley, New York1975. 
  10. RAMO, S. - WHINNERY, J. R. - VAN DUZER, T., Fields and Waves in Communication Electronics. Wiley, New York1965. 
  11. FEYNMAN, R. P. - LEIGHTON, R. B. - SANDS, M., The Feynman Lectures on Physics. II. Addison Wesley, Reading1964. Zbl0138.43403MR213078
  12. HALLIDAY, D. - RESNICK, R., Fisica 2. Casa Editrice Ambrosiana, Milano1982. 
  13. COLEMAN, B. D. - DILL, E. H., Thermodynamic restrictions on the constitutive equations of electromagnetic theory. ZAMP22, 1971, 691-702. Zbl0218.35072
  14. LANDAU, L. - LIFCHITZ, E., Electrodynamique des Milieux Continus. MIR, Moscow1969. 
  15. MULLER, I., Thermodynamics. Pitman, Boston1985. Zbl0637.73002

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