Magnetic Forces, Materials, and Devices

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Magnetic Forces, Materials, and Devices. 1. Figure 8.1 Force between two current loops. Figure 8.2 Magnetic focusing of a beam of electrons: (a) helical paths of electrons, (b) end view of paths. Figure 8.3 A velocity filter for charged particles. - PowerPoint PPT Presentation

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Magnetic Forces,Materials, and Devices

Elements of Electromagnetics Fourth Edition Sadiku 2Copyright © 2007 Oxford University Press

Figure 8.1 Force between two current loops.

Elements of Electromagnetics Fourth Edition Sadiku 3Copyright © 2007 Oxford University Press

Figure 8.2 Magnetic focusing of a beam of electrons: (a) helical paths of electrons, (b) end view of paths.

Elements of Electromagnetics Fourth Edition Sadiku 4Copyright © 2007 Oxford University Press

Figure 8.3 A velocity filter for charged particles.

Elements of Electromagnetics Fourth Edition Sadiku 5Copyright © 2007 Oxford University Press

Figure 8.4 For Example 8.4: (a) rectangular loop inside the field produced by an infinitely long wire, (b) forces acting on the loop and wire.

Elements of Electromagnetics Fourth Edition Sadiku 6Copyright © 2007 Oxford University Press

Figure 8.5 (a) Rectangular planar loop in a uniform magnetic field. (b) Cross-sectional view of part (a).

Elements of Electromagnetics Fourth Edition Sadiku 7Copyright © 2007 Oxford University Press

Figure 8.6 Magnetic field at P due to a current loop.

Elements of Electromagnetics Fourth Edition Sadiku 8Copyright © 2007 Oxford University Press

Table 8.2 Comparison between Electric and Magnetic Monopoles and Dipoles

Elements of Electromagnetics Fourth Edition Sadiku 9Copyright © 2007 Oxford University Press

Figure 8.7 The B lines due to magnetic dipoles: (a) a small current loop with m IS, (b) a bar magnet with m = Qmℓ.

Elements of Electromagnetics Fourth Edition Sadiku 10Copyright © 2007 Oxford University Press

Figure 8.8 A bar magnet in an external magnetic field.

Elements of Electromagnetics Fourth Edition Sadiku 11Copyright © 2007 Oxford University Press

Figure 8.9 Triangular loop of Example 8.5.

Elements of Electromagnetics Fourth Edition Sadiku 12Copyright © 2007 Oxford University Press

Figure 8.10 (a) Electron orbiting around the nucleus. (b) Electron spin.

Elements of Electromagnetics Fourth Edition Sadiku 13Copyright © 2007 Oxford University Press

Figure 8.11 Circular current loop equivalent to electronic motion of Figure 8.10.

Elements of Electromagnetics Fourth Edition Sadiku 14Copyright © 2007 Oxford University Press

Figure 8.12 Magnetic dipole moment in a volume v: (a) before B is applied, (b) after B is applied.

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Figure 8.13 Classification of magnetic materials.

Elements of Electromagnetics Fourth Edition Sadiku 16Copyright © 2007 Oxford University Press

Figure 8.14 Magnetic screening: (a) iron shield protecting a small compass, (b) compass gives erroneous reading without the shield.

Elements of Electromagnetics Fourth Edition Sadiku 17Copyright © 2007 Oxford University Press

Figure 8.15 Typical magnetization (B–H) curve.

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Figure 8.16 Boundary conditions between two magnetic media: (a) for B, (b) for H.

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Figure 8.17 For Example 8.8.

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Figure 8.18 For Example 8.9.

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Figure 8.19 Magnetic field B produced by a circuit.

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Figure 8.20 Magnetic interaction between two circuits.

Elements of Electromagnetics Fourth Edition Sadiku 23Copyright © 2007 Oxford University Press

Figure 8.21 A differential volume in a magnetic field.

Elements of Electromagnetics Fourth Edition Sadiku 24Copyright © 2007 Oxford University Press

Table 8.3 A Collection of Formulas for Inductance of Common Elements

Elements of Electromagnetics Fourth Edition Sadiku 25Copyright © 2007 Oxford University Press

Figure 8.22 Cross section of the coaxial cable: (a) for region 10 a, (b) for region 2, a b; for Example 8.11.

Elements of Electromagnetics Fourth Edition Sadiku 26Copyright © 2007 Oxford University Press

Figure 8.23 Two coaxial circular wires; for Example 8.13.

Elements of Electromagnetics Fourth Edition Sadiku 27Copyright © 2007 Oxford University Press

Figure 8.24 Analogy between (a) an electric circuit and (b) a magnetic circuit.

Elements of Electromagnetics Fourth Edition Sadiku 28Copyright © 2007 Oxford University Press

Figure 8.25 An electromagnet.

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Figure 8.26 (a) Toroidal core of Example 8.14. (b) Its equivalent electric circuit analog.

Elements of Electromagnetics Fourth Edition Sadiku 30Copyright © 2007 Oxford University Press

Figure 8.27 Magnetic circuit for Example 8.15.

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Figure 8.28 Electric circuit analog of the magnetic circuit in Figure 8.27.

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Figure 8.29 U-shaped electromagnet; for Example 8.16.

Elements of Electromagnetics Fourth Edition Sadiku 33Copyright © 2007 Oxford University Press

Figure 8.30 A levitated object.

Elements of Electromagnetics Fourth Edition Sadiku 34Copyright © 2007 Oxford University Press

Figure 8.31 Maglev train.

Elements of Electromagnetics Fourth Edition Sadiku 35Copyright © 2007 Oxford University Press

Figure 8.32 For Review Questions 8.3 and 8.4.

Elements of Electromagnetics Fourth Edition Sadiku 36Copyright © 2007 Oxford University Press

Figure 8.33 For Problem 8.5.

Elements of Electromagnetics Fourth Edition Sadiku 37Copyright © 2007 Oxford University Press

Figure 8.34 For Problem 8.6.

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Figure 8.35 For Problem 8.9.

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Figure 8.36 For Problem 8.10.

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Figure 8.37 For Problem 8.11.

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Figure 8.38 For Problem 8.15.

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Figure 8.39 For Problem 8.32.

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Figure 8.40 For Problem 8.44.

Elements of Electromagnetics Fourth Edition Sadiku 44Copyright © 2007 Oxford University Press

Figure 8.41 For Problem 8.45.

Elements of Electromagnetics Fourth Edition Sadiku 45Copyright © 2007 Oxford University Press

Figure 8.42 For Problem 8.48.

Elements of Electromagnetics Fourth Edition Sadiku 46Copyright © 2007 Oxford University Press

Figure 8.43 For Problem 8.49.

Elements of Electromagnetics Fourth Edition Sadiku 47Copyright © 2007 Oxford University Press

Figure 8.44 For Problem 8.50.

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Figure 8.45 For Problem 8.51.