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Chapter 6 Magnetostatic Fields in Matter 6.1 Magnetization 6.2 The Field of a Magnetized Object 6.3 The Auxiliary Field 6.4 Linear and Nonlinear Media
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6.1 Magnetization 6.1.1 Diamagnets, Paramagnets, Ferromagnets 6.1.2 Torques and Forces on Magnetic Dipoles 6.1.3 Effect of a Magnetic Field on Atomic Orbits 6.1.4 Magnetization
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6.1.1 Diamagnets, Paramagnets, Ferromagnets Magnetized: a net alignment of magnetic dipoles by an applied magnetic field Ferromagnets retain a substantial magnetization indefinitely after the external field has been removed. E.S. M.S. paramagnetsdiamagnets
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6.1.2 Torques and Forces on Magnetic Dipoles
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This torque lines the magnetic dipole up parallel to : paramagnetism. In a uniform field, the net force is zero. uniform magnetic dipole moment 6.1.2 (2)
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In a nonuniform field, net force is not zero. 6.1.2 (3) force onitself
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6.1.3 Effect of a Magnetic Field on Atomic Orbits a classical model -e motion gives a steady-like current no B ( ) in 6.1.2
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with ( assume r = constant) B↑ Δv > 0 v↑ antiparallel to diamagnetism [ This is just a model. Quantum is needed, indeed.] 6.1.3
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6.1.4 Magnetization spin → paramagnetism orbiting → diamagnetism magnetization
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6.2 The Field of a Magnetized Object 6.2.1 Bound Currents 6.2.2 Physical Interpretation of Bound Currents
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6.2.1 Bound Currents for a single dipole
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bound volume current 6.2.1(2) bound surface current
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Ex.1. 6.2.1(3) uniform
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6.2.2 Physical Interpretation of Bound Currents for uniform
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for non-uniform nonuniform in for non-uniform in 6.2.2
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6.3 The Auxiliary Field 6.3.1 Ampere’s Law in Magnetized Materials 6.3.2 A Deceptive Parallel
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6.3.1 Ampere’s Law in Magnetized Materials Ampere’s Law Auxiliary field
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6.3.2 A Deceptive Parallel Ex.2. Copper ( diamagnet ) H(r R) = ? Ampere’s loop uniform distributed
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6.4 linear and Nonlinear Media 6.4.1 Magnetic Susceptibility and Permeability 6.4.2 Ferromagnetism
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6.4.1 Magnetic Susceptibility and Permeability in E.S., Polarization electric susceptibility in M.S., magnetization magnetic susceptibility
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permeability Permeability of free space 6.4.1(2)
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Ex.3. sol. 6.4.1(3) N turns per unit length
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6.4.2 Ferromagnetism Paramagnetic Ferromagnet no B applied remove no with
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6.4.2(2)
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Iron is ferromagnetic, but if T>T curie ( 770 。 for iron ) curie point it become a paramagnetic. This is a phase transition. 6.4.2(3)
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