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The distance around one cycle of Smith chart is :

  • A.λ
  • B.λ/4
  • C.λ/2
  • D.λ/8

Answer: C

One complete revolution of the Smith chart corresponds to λ/2.

The impedance pattern along a transmission line repeats every half wavelength, because the reflection coefficient rotates by 2βl, that is by 360° when l = λ/2. On the Smith chart, moving along the line therefore takes the point once round the chart for every half wavelength, and the wavelength scales round the rim run from 0 to 0.5λ.

A quarter wavelength takes the point half way round (turning a high impedance into a low one), so λ/4 is half a cycle; λ would be two full cycles, and λ/8 a quarter cycle.

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