2 Maxwell’s Equations Copyright © 2007 Oxford University Press Elements of Electromagnetics...

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Transcript of 2 Maxwell’s Equations Copyright © 2007 Oxford University Press Elements of Electromagnetics...

Page 1: 2 Maxwell’s Equations Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku3 Figure 9.1 Examples of time-varying.
Page 2: 2 Maxwell’s Equations Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku3 Figure 9.1 Examples of time-varying.

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Maxwell’s Equations

Page 3: 2 Maxwell’s Equations Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku3 Figure 9.1 Examples of time-varying.

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

Figure 9.1 Examples of time-varying current: (a) sinusoidal, (b) rectangular, (c) triangular.

Page 4: 2 Maxwell’s Equations Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku3 Figure 9.1 Examples of time-varying.

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

Figure 9.2 A circuit showing emf-producing field Ef and electrostatic field Ee.

Page 5: 2 Maxwell’s Equations Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku3 Figure 9.1 Examples of time-varying.

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

Figure 9.3 Induced emf due to a stationary loop in a time-varying B field.

Page 6: 2 Maxwell’s Equations Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku3 Figure 9.1 Examples of time-varying.

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

Figure 9.4 A direct-current machine.

Page 7: 2 Maxwell’s Equations Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku3 Figure 9.1 Examples of time-varying.

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

Figure 9.5 Induced emf due to a moving loop in a static B field.

Page 8: 2 Maxwell’s Equations Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku3 Figure 9.1 Examples of time-varying.

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

Figure 9.6 For Example 9.1.

Page 9: 2 Maxwell’s Equations Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku3 Figure 9.1 Examples of time-varying.

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

Figure 9.7 For Example 9.2; polarity is for increasing emf.

Page 10: 2 Maxwell’s Equations Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku3 Figure 9.1 Examples of time-varying.

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

Figure 9.8 Magnetic circuit of Example 9.3.

Page 11: 2 Maxwell’s Equations Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku3 Figure 9.1 Examples of time-varying.

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

Figure 9.9 For Practice Exercise 9.3.

Page 12: 2 Maxwell’s Equations Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku3 Figure 9.1 Examples of time-varying.

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

Figure 9.10 Two surfaces of integration showing the need for Jd in Ampère’s circuit law.

Page 13: 2 Maxwell’s Equations Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku3 Figure 9.1 Examples of time-varying.

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

Figure 9.11 Electromagnetic flow diagrams showing the relationship between the potentials and vector fields: (a) electrostatic system, (b) magnetostatic system, (c) electromagnetic system. [Adapted with permission from the Publishing Department of the Institution of Electrical Engineers.]

Page 14: 2 Maxwell’s Equations Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku3 Figure 9.1 Examples of time-varying.

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

Figure 9.12 Representation of a phasor zx jyr.

Page 15: 2 Maxwell’s Equations Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku3 Figure 9.1 Examples of time-varying.

Elements of Electromagnetics Fourth Edition Sadiku 15Copyright © 2007 Oxford University Press

Figure 9.13 For Review Question 9.2.

Page 16: 2 Maxwell’s Equations Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku3 Figure 9.1 Examples of time-varying.

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

Figure 9.14 For Review Question 9.3.

Page 17: 2 Maxwell’s Equations Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku3 Figure 9.1 Examples of time-varying.

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

Figure 9.15 For Review Question 9.5 and Problem 9.10.

Page 18: 2 Maxwell’s Equations Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku3 Figure 9.1 Examples of time-varying.

Elements of Electromagnetics Fourth Edition Sadiku 18Copyright © 2007 Oxford University Press

Figure 9.16 For Problem 9.3.

Page 19: 2 Maxwell’s Equations Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku3 Figure 9.1 Examples of time-varying.

Elements of Electromagnetics Fourth Edition Sadiku 19Copyright © 2007 Oxford University Press

Figure 9.17 For Problem 9.5.

Page 20: 2 Maxwell’s Equations Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku3 Figure 9.1 Examples of time-varying.

Elements of Electromagnetics Fourth Edition Sadiku 20Copyright © 2007 Oxford University Press

Figure 9.18 For Problem 9.6.

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Elements of Electromagnetics Fourth Edition Sadiku 21Copyright © 2007 Oxford University Press

Figure 9.19 For Problem 9.7.

Page 22: 2 Maxwell’s Equations Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku3 Figure 9.1 Examples of time-varying.

Elements of Electromagnetics Fourth Edition Sadiku 22Copyright © 2007 Oxford University Press

Figure 9.20 For Problem 9.8.

Page 23: 2 Maxwell’s Equations Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku3 Figure 9.1 Examples of time-varying.

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

Figure 9.21 For Problem 9.11.

Page 24: 2 Maxwell’s Equations Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku3 Figure 9.1 Examples of time-varying.

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

Figure 9.22 For Problem 9.12.