Electromagnetism_e

Electromagnetism_e - Lecture notes on Classical...

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Unformatted text preview: Lecture notes on Classical Electrodynamics Hyun-Chul Kim Department of Physics, Inha University March 2, 2010 2 Contents I Review on what we have learned so far 1 I.1 Coulomb’s Law and electric field E . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 I.2 Principle of Superposition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 I.3 Gauss’ Law . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 I.4 Scalar potential . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 I.5 Conductors and capacitors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 I.6 Electrostatic energy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 I.7 Variational principle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 I.8 Boundary value problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 I.9 Multipole expansion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 I.10 Electric fields in matter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 I.11 Steady currents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 I.12 Magnetostatics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 II Electromagnetic induction 13 II.1 Faraday’s discovery . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 II.2 Magnetic flux . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 II.3 Moving media . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 II.4 Mutual inductance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 II.5 Self-inductance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 II.6 LR-circuit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 III Magnetic energy 27 III.1 Magnetic energy stored in the LR circuit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 III.2 Magnetic energy of N circuits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 III.3 Magnetic energy in terms of the magnetic field . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 3 4 CONTENTS IV Magnetic multipoles 35 IV.1 Vector potential revisited . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 IV.2 Magnetic dipole moment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 IV.3 Magnetic dipole moment due to filamentary currents . . . . . . . . . . . . . . . . . . . . . . . . 38 IV.4 Force and torque on a magnetic field in a magnetic field . . . . . . . . . . . . . . . . . . . . . . .IV....
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