- Physics - Electro ic Field Theory.pdf

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ELECTRO
IC
FIELD
THEORY
Υ
Bo Thidé
U P S I L O N M E D I A
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Bo Thidé
IC FIELD THEORY
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Also available
IC FIELD THEORY
EXERCISES
by
Tobia Carozzi, Anders Eriksson, Bengt ,
Bo Thidé and Mattias Waldenvik
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IC
FIELD THEORY
Bo Thidé
Swedish Institute of Space Physics
and
Department of Astronomy and Space Physics
Uppsala University, Sweden
Υ
U P S I L O N M E D I A U P P S A L A S W E D E N
· ·
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This book was typeset in LATEX 2ε
on an HP9000/700 series workstation
and printed on an HP LaserJet 5000GN printer.
Copyright ©1997, 1998, 1999 and 2000 by
Bo Thidé
Uppsala, Sweden
All rights reserved.
ic Field Theory
ISBN X-XXX-XXXXX-X
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Contents
Preface xi
1 Classical Electrodynamics 1
Electrostatics . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Coulomb’s law . . . . . . . . . . . . . . . . . . . . . 1
The electrostatic field . . . . . . . . . . . . . . . . . . 2
ostatics . . . . . . . . . . . . . . . . . . . . . . . . . 4
Ampère’s law . . . . . . . . . . . . . . . . . . . . . . 4
The ostatic field . . . . . . . . . . . . . . . . . 6
Electrodynamics . . . . . . . . . . . . . . . . . . . . . . . . 8
Equation of continuity . . . . . . . . . . . . . . . . . 9
Maxwell’s displacement current . . . . . . . . . . . . 9
Electromotive force . . . . . . . . . . . . . . . . . . . 10
Faraday’s law of induction . . . . . . . . . . . . . . . 11
Maxwell’s microscopic equations . . . . . . . . . . . 14
Maxwell’s macroscopic equations . . . . . . . . . . . 14
ic Duality . . . . . . . . . . . . . . . . . . . . 15
Example Duality of the odynamic equations 16
Example Maxwell from Dira