chapter 05 part 2 electromagnetic 2014-2015
TRANSCRIPT
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Electromagnetic Field Theory
2nd Year EE Students
Prof. Dr. Magdi El-Saadawiwww.saadawi1.net
2014/2015
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Chapter 5
Stationary Magnetic Fields
(Magnetostatics)
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Chapter 5
Stationary Magnetic Fields5.1. Introduction 5.2. Force on a Moving Charge5.3. Force on a Current-Carrying Conductor in an External
Magnetic Field5.4 Generation of a Magnetic Field 5.5. Boundary Conditions for the Magnetic Induction5.6. Vector Potential of the Magnetic Field5.7. The Magnetic Field Intensity (Magnetic Excitation)5.8. Field Equation and Boundary Conditions for Magnetic Field
Intensity
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5.9. Applications of Ampere’s Law 5.10. The Nature of Magnetic Materials
5.10. The Nature of Magnetic Materials 5.11. General Solution of Stationary Magnetic Fields5.12. Biot-Savart Law5.13. The Scalar Magnetic Potential5.14 Magnetic Torque and Moment5.15. Magnetic Dipole5.16. Magnetization in Materials5.17. Inductors and Inductances5.18. Magnetic Energy5.19 Magnetic Circuits
Chapter 5
Stationary Magnetic Fields
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A small current loop or a short permanent magnet
can be considered as a magnetic dipole.
5.16 Magnetization in Materials
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To understand Magnetization in the Materials,
let’s first discuss what happen in the entire of the
material.
An internal magnetic field is produced by
electrons orbiting around the nucleus as in Fig.
5.17 a
5.16 Magnetization in Materials
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Both of these electronic motions produce internal
magnetic fields B, that are similar to the magnetic
field produced by a current loop (Fig. c.) with a
magnetic moment of
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Without an external B field applied to the material,
the sum of m's is zero due to random orientation
as in Fig. 5.18 (a).
When an external B field is applied, the magnetic
moments of the electrons more or less align
themselves with B so that the net magnetic
moment is not zero as in Fig. 5.18 (b).
5.16 Magnetization in Materials
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5.16 Magnetization in Materials
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5.16 Magnetization in Materials
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5.16 Magnetization in Materials
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5.16 Magnetization in Materials
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5.16 Magnetization in Materials
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5.16 Magnetization in Materials
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Magnetic materials can be roughly classified into
three main groups in accordance with their μr :
Diamagnetic, Paramagnetic, Ferromagnetic.
5.10. The Nature of Magnetic Materials
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5.10. The Nature of Magnetic Materials
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5.10. The Nature of Magnetic Materials
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5.10. The Nature of Magnetic Materials
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5.17 Inductors and Inductances
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5.17 Inductors and Inductances
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5.17 Inductors and Inductances
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5.17 Inductors and Inductances
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5.17 Inductors and Inductances
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5.17 Inductors and Inductances
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5.17 Inductors and Inductances
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5.17 Inductors and Inductances
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5.18. Magnetic Energy
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1. Determine the self-inductance of a coaxial cable
of inner radius a and outer radius b
Problems
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Problems
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Problems
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Problems