1. 4/24/2017
Transmission Lines 1

2. 4/24/2017
Figure Typical transmission lines in cross-sectional view: (a) coaxial line, (b) two-wire line, (c) planar line, (d) wire above conducting plane, (e) microstrip line.
Elements of Electromagnetics Fourth Edition Sadiku

3. 4/24/2017
Figure Common transmission lines: (a) coaxial line, (b) two-wire line, (c) planar line.
Elements of Electromagnetics Fourth Edition Sadiku

4. 4/24/2017
Figure Distributed parameters of a two-conductor transmission line.
Elements of Electromagnetics Fourth Edition Sadiku

5. 4/24/2017
Figure (a) Coaxial line connecting the generator to the load; (b) E and H fields on the coaxial line.
Elements of Electromagnetics Fourth Edition Sadiku

6. 4/24/2017
Figure An L-type equivalent circuit model of a two-conductor transmission line of differential length Dz.
Elements of Electromagnetics Fourth Edition Sadiku

7. 4/24/2017
Figure (a) Input impedance due to a line terminated by a load. (b) Equivalent circuit for finding Vo and Io in terms of Zin at the input.
Elements of Electromagnetics Fourth Edition Sadiku

8. 4/24/2017
Figure Voltage and current standing wave patterns on a lossless line terminated by a resistive load.
Elements of Electromagnetics Fourth Edition Sadiku

9. 4/24/2017
Figure Input impedance of a lossless line: (a) when shorted, (b) when open.
Elements of Electromagnetics Fourth Edition Sadiku

10. 4/24/2017 Figure 11.9 For Practice Exercise 11.3.
Elements of Electromagnetics Fourth Edition Sadiku

11. 4/24/2017
Figure Unit circle on which the Smith chart is constructed.
Elements of Electromagnetics Fourth Edition Sadiku

12. 4/24/2017 Figure 11.11 Typical r-circles for r = 0, 0.5, 1, 2, 5, ∞.
Elements of Electromagnetics Fourth Edition Sadiku

13. 4/24/2017
Figure Typical x-circles for x = 0, ±0.5, ±1, ±2, ±5, ± ∞.
Elements of Electromagnetics Fourth Edition Sadiku

14. 4/24/2017
Figure Illustration of the r-, x-, and s-circles on the Smith chart.
Elements of Electromagnetics Fourth Edition Sadiku

15. 4/24/2017
Figure (a) Smith chart illustrating scales around the periphery and movements around the chart. (b) Corresponding movements along the
transmission line.
Elements of Electromagnetics Fourth Edition Sadiku

16. 4/24/2017 Figure 11.15 Smith chart for Example 11.4.
Elements of Electromagnetics Fourth Edition Sadiku

17. 4/24/2017 Figure 11.16 Smith chart for Example 11.5.
Elements of Electromagnetics Fourth Edition Sadiku

18. 4/24/2017 Figure 11.17 Load matching using a l/4 transformer.
Elements of Electromagnetics Fourth Edition Sadiku

19. 4/24/2017
Figure Voltage standing wave pattern of mismatched load: (a) without a l/4 transformer, (b) with a l/4 transformer.
Elements of Electromagnetics Fourth Edition Sadiku

20. 4/24/2017 Figure 11.19 Matching with a single-stub tuner.
Elements of Electromagnetics Fourth Edition Sadiku

21. 4/24/2017
Figure Using the Smith chart to determine ℓ and d of a shunt-shorted single-stub tuner.
Elements of Electromagnetics Fourth Edition Sadiku

22. 4/24/2017
Figure (a) Typical slotted line; (b) Determining the location of the load ZL and Vmin on the line.
Elements of Electromagnetics Fourth Edition Sadiku

23. 4/24/2017
Figure Determining the load impedance from the Smith chart by using the data obtained from the slotted line.
Elements of Electromagnetics Fourth Edition Sadiku

24. 4/24/2017
Figure Determining ZL by using the slotted line: (a) wave pattern, (b) Smith chart for Example 11.6.
Elements of Electromagnetics Fourth Edition Sadiku

25. 4/24/2017 Figure 11.24 Smith chart for Example 11.7.
Elements of Electromagnetics Fourth Edition Sadiku

26. 4/24/2017
Figure Transients on a transmission line: (a) a line driven by a pulse generator, (b) the equivalent circuit at z = 0, t = 0+.
Elements of Electromagnetics Fourth Edition Sadiku

27. 4/24/2017
Figure Bounce diagram for (a) a voltage wave and (b) a current wave.
Elements of Electromagnetics Fourth Edition Sadiku

28. 4/24/2017
Figure For Example 11.8.
Elements of Electromagnetics Fourth Edition Sadiku

29. 4/24/2017 Figure 11.28 Voltage bounce diagram for Example 11.8.
Elements of Electromagnetics Fourth Edition Sadiku

30. 4/24/2017
Figure Voltage (not to scale) for Example 11.8: (a) at the generator end, (b) at the load end.
Elements of Electromagnetics Fourth Edition Sadiku

31. 4/24/2017
Figure Equivalent circuits for the line in Figure for (a) t = 0, and (b) t = ∞.
Elements of Electromagnetics Fourth Edition Sadiku

32. 4/24/2017 Figure 11.31 Current bounce diagram for Example 11.8.
Elements of Electromagnetics Fourth Edition Sadiku

33. 4/24/2017
Figure Current (not to scale) for Example 11.8: (a) at the generator end, (b) at the load end.
Elements of Electromagnetics Fourth Edition Sadiku

34. 4/24/2017 Figure 11.33 For Practice Exercise 11.8(a).
Elements of Electromagnetics Fourth Edition Sadiku

35. 4/24/2017 Figure 11.34 For Practice Exercise 11.8(b).
Elements of Electromagnetics Fourth Edition Sadiku

36. 4/24/2017 Figure 11.35 For Example 11.9 (not to scale).
Elements of Electromagnetics Fourth Edition Sadiku

37. 4/24/2017 Figure 11.36 Triangular pulse for Practice Exercise 11.9.
Elements of Electromagnetics Fourth Edition Sadiku

38. 4/24/2017 Figure 11.37 Current waves for Practice Exercise 11.9.
Elements of Electromagnetics Fourth Edition Sadiku

39. 4/24/2017 Figure 11.38 Microstrip line.
Elements of Electromagnetics Fourth Edition Sadiku

40. 4/24/2017
Figure Pattern of the EM field of a microstrip line. (From D. Roddy, Microwave Technology, 1986, by permission of Prentice-Hall.)
Elements of Electromagnetics Fourth Edition Sadiku

41. 4/24/2017 Figure 11.40 Near-end crosstalk (NEXT) in a paired cable.
Elements of Electromagnetics Fourth Edition Sadiku

42. 4/24/2017 Figure 11.41 Far-end crosstalk (FEXT) in a paired cable.
Elements of Electromagnetics Fourth Edition Sadiku

43. 4/24/2017 Figure 11.42 Smith chart for Review Question 11.6.
Elements of Electromagnetics Fourth Edition Sadiku

44. 4/24/2017 Figure 11.43 Smith chart for Review Question 11.7.
Elements of Electromagnetics Fourth Edition Sadiku

45. 4/24/2017 Figure 11.44 The diode of Problem 11.3.
Elements of Electromagnetics Fourth Edition Sadiku

46. 4/24/2017
Figure Equivalent circuits for Problem 11.4: (a) P-type, (b) T-type.
Elements of Electromagnetics Fourth Edition Sadiku

47. 4/24/2017
Figure For Problem
Elements of Electromagnetics Fourth Edition Sadiku

48. 4/24/2017
Figure For Problem
Elements of Electromagnetics Fourth Edition Sadiku

49. 4/24/2017 Figure 11.48 For Problem 11.26: (a) network, (b) lossy line.
Elements of Electromagnetics Fourth Edition Sadiku

50. 4/24/2017
Figure For Problem
Elements of Electromagnetics Fourth Edition Sadiku

51. 4/24/2017 Figure 11.50 Double section transformer of Problem 11.41.
Elements of Electromagnetics Fourth Edition Sadiku

52. 4/24/2017 Figure 11.51 For Problems 11.42 and 11.43.
Elements of Electromagnetics Fourth Edition Sadiku

53. 4/24/2017
Figure For Problem
Elements of Electromagnetics Fourth Edition Sadiku

54. 4/24/2017
Figure For Problem
Elements of Electromagnetics Fourth Edition Sadiku

55. 4/24/2017
Figure For Problem
Elements of Electromagnetics Fourth Edition Sadiku

56. 4/24/2017
Figure For Problem
Elements of Electromagnetics Fourth Edition Sadiku

57. 4/24/2017
Figure For Problem
Elements of Electromagnetics Fourth Edition Sadiku

58. 4/24/2017
Figure For Problem
Elements of Electromagnetics Fourth Edition Sadiku

59. 4/24/2017 Figure 11.58 Two rectangular pulses of Problem 11.56.
Elements of Electromagnetics Fourth Edition Sadiku