3. -z ZLZL ZcZc z = 0

5. -z ZLZL ZcZc z = 0 -z ZLZL ZcZc z = 0 -z ZLZL ZcZc z = 0 Eureka! Use a stub, somewhere. How long should it be?

6. An article appeared in the January, 1939 issue of Electronics that changed forever the way radio engineers think about transmission lines. Phil Smith [1907-1985] devised an extraordinarily clever circular chart that revealed graphically the complex impedance anywhere along a line. No math and minimum fuss. There's a marvelous symmetry in it's design - everything fits together neatly. So ingenious was his invention that it has been the standard of the industry - for over sixty years.

7. -z ZLZL ZcZc z = 0

8. -z ZLZL ZcZc z = 0

9. -z ZLZL ZcZc z = 0

10. -z ZLZL ZcZc z = 0

11. -z ZLZL ZcZc z = 0

12. -z ZLZL ZcZc z = 0

13. a x b y r Equation of circle (x - a) 2 + (y - b) 2 = r 2

14. clf; clear; plot([-1 1], [0 0], ’y’) axis equal axis off hold on

15. for r = [0.2.5 1 2 5] rr = 1 / (r + 1); cr = 1 - rr; tr = 2 * pi * (0 :.01: 1); plot(cr + rr * cos (tr), rr * sin (tr), ‘y’); end

17. for x = [.2.5 1 2 5] rx = 1 / x; cx = rx; tx = 2 * pi * (0 :.01: 1); plot(1 - rx * sin (tx), cx - rx * cos (tx), ‘y’); plot(1 - rx * sin (tx),- cx + rx * cos (tx), ‘y’); end

19. for x = [.2.5 1 2 5] rx = 1 / x; cx = rx; tx = 2 * atan(x) * (0 :.01: 1); plot(1 - rx * sin (tx), cx - rx * cos (tx), ‘y’); plot(1 - rx * sin (tx),- cx + rx * cos (tx), ‘y’); end

22. To load To generator

23. 22

24. 1 0

28. y = 0 z = 0

29. Z c = 50  Z in = ? 

30. z = j1 z = 0

31. Z c = 50  Z in = ? 

32. 0.434 Z c = 100  Z in = ?

33. z L = 2.6 + j1.8 z = 0.7 + j1.2

34. 0.434 Z c = 100  Z in = ?

35. That Mr. Smith sure was smart.