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Electromagnetism of Continuous MediaMathematical Modelling and Applications$
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Mauro Fabrizio and Angelo Morro

Print publication date: 2003

Print ISBN-13: 9780198527008

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198527008.001.0001

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Electromagnetic fields

Electromagnetic fields

Chapter:
(p.3) Chapter 1 Electromagnetic fields
Source:
Electromagnetism of Continuous Media
Author(s):

Mauro Fabrizio

Morro Angelo

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198527008.003.0001

This chapter presents the basic notions of electromagnetism, chiefly the balance laws in global and local form. The corresponding Maxwell’s differential equations and boundary conditions are then derived. Electromagnetic potentials are introduced along with gauge conditions. They are then applied to determine the electromagnetic field in various cases. Although the standpoint is nonrelativistic, the chapter also exhibits the Lorentz-invariant form of Maxwell’s equations, essential for any relativistic approach.

Keywords:   balance laws, Maxwell’s equations, Lorentz-invariant form, Poynting’s theorem, electromagnetic potentials, gauge, deformable media

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