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E9G05

ANTENNAS AND TRANSMISSION LINES · The Smith chart

E9G05E9G →

Which of the following is a common use for a Smith chart?

  1. ADetermine the length and position of an impedance matching stub
  2. BDetermine the impedance of a transmission line, given the physical dimensions
  3. CDetermine the gain of an antenna given the physical and electrical parameters
  4. DDetermine the loss/100 feet of a transmission line, given the velocity factor and conductor materials
Why The Smith chart is a graphical map of the complex reflection coefficient overlaid with normalized resistance and reactance circles, so moving along a transmission line is just rotating around the chart center. That makes it ideal for stub matching: you rotate from the load toward the generator until you land on the unity-resistance circle, which fixes the stub's position, then read the reactance you must cancel to get the stub's length. Working these problems graphically is the classic textbook use of the chart.
Watch out Finding a line's characteristic impedance from conductor diameter and spacing, or its loss per 100 feet from materials and velocity factor, comes from formulas or manufacturer data tables, not from the chart, and antenna gain is not a transmission line impedance problem at all.
Smith chart = impedance along a line. Rotate toward the generator, add a stub. Anything about physical dimensions or loss is not it.
HamSandwich explanation, first draft. The question and answers are the NCVEC text.
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The rest of E9G

  1. E9G01 Which of the following can be calculated using a Smith chart?
  2. E9G02 What type of coordinate system is used in a Smith chart?
  3. E9G03 Which of the following is often determined using a Smith chart?
  4. E9G04 What are the two families of circles and arcs that make up a Smith chart?
  5. E9G05 Which of the following is a common use for a Smith chart?
  6. E9G06 On the Smith chart shown in Figure E9-3, what is the name for the large outer circle on which the reactance a…
  7. E9G07 On the Smith chart shown in Figure E9-3, what is the only straight line shown?
  8. E9G08 How is a Smith chart normalized?
  9. E9G09 What third family of circles is often added to a Smith chart during the process of designing impedance matchi…
  10. E9G10 What do the arcs on a Smith chart represent?
  11. E9G11 In what units are the wavelength scales on a Smith chart calibrated?
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