Electrostatic BoundaryValue Problems Elements of Electromagnetics Fourth Edition
Electrostatic Boundary-Value Problems Elements of Electromagnetics Fourth Edition Sadiku 1
Figure 6. 1 An electrohydrodynamic pump; for Example 6. 1. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 2
Figure 6. 2 For Example 6. 2. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 3
Figure 6. 3 Potential V(f) due to semi-infinite conducting planes. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 4
Figure 6. 4 For Practice Exercise 6. 3. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 5
Figure 6. 5 Potential V (q ) due to conducting cones. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 6
Figure 6. 6 For Practice Exercise 6. 4. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 7
Figure 6. 7 Potential V(x, y) due to a conducting rectangular trough; for Example 6. 5. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 8
Figure 6. 8 Sketch of cosh x and sinh x showing that sinh x = 0 if and only if x = 0; for Case 2 of Example 6. 5. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 9
Figure 6. 9 Sketch of sin x showing that sin x = 0 at infinite number of points; for Case 3 of Example 6. 5. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 10
Figure 6. 10 For Example 6. 5: (a) V(x, y) calculated at some points, (b) sketch of flux lines and equipotential lines. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 11
Figure 6. 11 Matlab program for Example 6. 5. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 12
Figure 6. 12 A two-conductor capacitor. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 13
Figure 6. 13 (a) Parallel-plate capacitor. (b) Fringing effect due to a parallel-plate capacitor. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 14
Figure 6. 14 A coaxial capacitor. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 15
Figure 6. 15 A spherical capacitor. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 16
Figure 6. 16 Capacitors (a) in series and (b) in parallel. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 17
Figure 6. 17 Bent metal bar for Example 6. 8. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 18
Figure 6. 18 Potential V(r) due to conducting spherical shells. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 19
Figure 6. 19 For Practice Exercises 6. 9, 6. 10, and 6. 12. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 20
Figure 6. 20 For Example 6. 12. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 21
Figure 6. 21 Image system: (a) charge configurations above a perfectly conducting plane, (b) image configuration with the conducting plane replaced by equipotential surface. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 22
Figure 6. 22 (a) Point charge and grounded conducting plane. (b) Image configuration and field lines. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 23
Figure 6. 23 Point charge between two semi-infinite conducting planes. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 24
Figure 6. 24 Determining (a) the potential at P and (b) the force on charge Q. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 25
Figure 6. 25 Point charge between two semi-infinite conducting walls inclined at f = 60° to each other. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 26
Figure 6. 26 Circular microstrip capacitor. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 27
Figure 6. 27 Capacitance of the circular microstrip capacitor. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 28
Figure 6. 28 For Problem 6. 11. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 29
Figure 6. 29 Cylindrical capacitor of Problem 6. 12. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 30
Figure 6. 30 Conducting cones of Problem 6. 15. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 31
Figure 6. 31 For Problem 6. 18. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 32
Figure 6. 32 For Problem 6. 19. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 33
Figure 6. 33 For Problem 6. 20. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 34
Figure 6. 34 For Problem 6. 24. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 35
Figure 6. 35 For Problem 6. 26. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 36
Figure 6. 36 For Problem 6. 28. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 37
Figure 6. 37 For Problem 6. 29. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 38
Figure 6. 38 For Problem 6. 30. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 39
Figure 6. 39 For Problem 6. 32. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 40
Figure 6. 40 Simplified geometry of an ink-jet printer; for Problem 6. 41. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 41
Figure 6. 41 For Problem 6. 43. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 42
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