Magnetostatic Fields 2 Figure 7.1 Magnetic field dH at P due to current element I dl. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 3 Figure 7.2 Determining the direction of dH using (a) the right-hand rule or (b) the righthanded-screw rule. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 4 Figure 7.3 Conventional representation of H (or I) (a) out of the page and (b) into the page. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 5 Figure 7.4 Current distributions: (a) line current, (b) surface current, (c) volume current. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 6 Figure 7.5 Field at point P due to a straight filamentary conductor. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 7 Figure 7.6 For Example 7.1: (a) conducting triangular loop, (b) side 1 of the loop. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 8 Figure 7.7 For Example 7.2: (a) current filament along semi-infinite x- and z-axes, aℓ and ar for H2 only; (b) determining ar for H2. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 9 Figure 7.8 For Example 7.3: (a) circular current loop, (b) flux lines due to the current loop. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 10 Figure 7.9 For Example 7.4; cross section of a solenoid. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 11 Figure 7.10 Ampère’s law applied to an infinite filamentary line current. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 12 Figure 7.11 Application of Ampère’s law to an infinite sheet: (a) closed path 1-2-3-4-1, (b) symmetrical pair of current filaments with current along ay. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 13 Figure 7.12 Cross section of the transmission line; the positive z-direction is out of the page. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 14 Figure 7.13 Plot of Hf against r. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 15 Figure 7.14 For Example 7.5: parallel infinite current sheets. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 16 Figure 7.15 For Example 7.6: a toroid with a circular cross section. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 17 Figure 7.16 Magnetic flux lines due to a straight wire with current coming out of the page. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 18 Figure 7.17 Flux leaving a closed surface due to (a) isolated electric charge Elements of Electromagnetics Fourth Edition Sadiku (b) magnetic charge, Copyright © 2007 Oxford University Press 19 Figure 7.18 Successive division of a bar magnet results in pieces with north and south poles, showing that magnetic poles cannot be isolated. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 20 Figure 7.19 Illustration of the source point (x΄, y΄, z΄) and the field point (x, y, z). Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 21 Figure 7.20 For Example 7.7. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 22 Figure 7.21 For Example 7.8: infinite current sheet. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 23 Figure 7.22 A cloud-to-ground lightning. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 24 Figure 7.23 For Review Question 7.2. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 25 Figure 7.24 For Review Question 7.3. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 26 Figure 7.25 For Review Question 7.6. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 27 Figure 7.26 For Review Question 7.10. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 28 Figure 7.27 For Problem 7.3. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 29 Figure 7.28 For Problem 7.6. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 30 Figure 7.29 For Problem 7.7. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 31 Figure 7.30 Current filament for Problem 7.10. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 32 Figure 7.31 Equilateral triangular loop for Problem 7.11. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 33 Figure 7.32 Rectangular loop of Problem 7.12. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 34 Figure 7.33 Filamentary loop of Problem 7.16; not drawn to scale. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 35 Figure 7.34 For Problem 7.21. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 36 Figure 7.35 Electric motor pole of Problem 7.29. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 37 Figure 7.36 Two-wire line of Problem 7.30. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 38 Figure 7.37 For Problem 7.31. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 39 Figure 7.38 Cross section of a brass ring enclosing a long straight wire; for Problem 7.34. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 40
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