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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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Presentation on theme: "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."— Presentation transcript:

1 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

2 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

3 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

4 6.1.2 Torques and Forces on Magnetic Dipoles

5 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)

6 In a nonuniform field, net force is not zero. 6.1.2 (3) force onitself

7 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

8 with ( assume r = constant) B↑ Δv > 0 v↑ antiparallel to diamagnetism [ This is just a model. Quantum is needed, indeed.] 6.1.3

9 6.1.4 Magnetization spin → paramagnetism orbiting → diamagnetism magnetization

10 6.2 The Field of a Magnetized Object 6.2.1 Bound Currents 6.2.2 Physical Interpretation of Bound Currents

11 6.2.1 Bound Currents for a single dipole

12 bound volume current 6.2.1(2) bound surface current

13 Ex.1. 6.2.1(3) uniform

14 6.2.2 Physical Interpretation of Bound Currents for uniform

15 for non-uniform nonuniform in for non-uniform in 6.2.2

16 6.3 The Auxiliary Field 6.3.1 Ampere’s Law in Magnetized Materials 6.3.2 A Deceptive Parallel

17 6.3.1 Ampere’s Law in Magnetized Materials Ampere’s Law Auxiliary field

18 6.3.2 A Deceptive Parallel Ex.2. Copper ( diamagnet ) H(r R) = ? Ampere’s loop uniform distributed

19 6.4 linear and Nonlinear Media 6.4.1 Magnetic Susceptibility and Permeability 6.4.2 Ferromagnetism

20 6.4.1 Magnetic Susceptibility and Permeability in E.S., Polarization electric susceptibility in M.S., magnetization magnetic susceptibility

21 permeability Permeability of free space 6.4.1(2)

22 Ex.3. sol. 6.4.1(3) N turns per unit length

23 6.4.2 Ferromagnetism Paramagnetic Ferromagnet no B applied remove no with

24 6.4.2(2)

25 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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