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E9G11

ANTENNAS AND TRANSMISSION LINES · The Smith chart

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In what units are the wavelength scales on a Smith chart calibrated?

  1. AIn fractions of transmission line electrical frequency
  2. BIn fractions of transmission line electrical wavelength
  3. CIn fractions of antenna electrical wavelength
  4. DIn fractions of antenna electrical frequency
Why The outer rim of a Smith chart carries two scales, "wavelengths toward generator" and "wavelengths toward load," running from 0 to 0.5. They are graduated in fractions of an electrical wavelength on the transmission line, because impedance repeats every half wavelength as you move along the line. Moving a given fraction of a wavelength along the line corresponds to rotating that same fraction around the chart (a full trip around equals 0.5 wavelength).
Watch out The choices mentioning frequency are wrong because the chart is normalized and frequency independent; the antenna wavelength choice confuses the load with the line, and it is the line's electrical length, including its velocity factor, that the scale tracks.
Smith chart rim = wavelengths toward generator/load, 0 to 0.5, on the LINE. Line plus wavelength, not antenna, not frequency.
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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