Consider the following statements regarding the Smith's chart:

1. Smith's chart is a graphical indication of the impedance of a transmission line and of the corresponding reflection coefficient as one moves along the line.

2. λ distance on the line corresponds to a 720° movement on the Smith's chart.

3. The admittance chart can be obtained by shifting each and every point on the impedance chart by 90°.

4. Counter-clockwise movement on the chart corresponds to moving towards the generator.

which of the above statements are correct?

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ESE Electronics Prelims 2021 Official Paper
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  1. 1 and 2 only
  2. 1 and 3 only
  3. 1, 2 and 4 only
  4. 2, 3 and 4 only

Answer (Detailed Solution Below)

Option 1 : 1 and 2 only
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Smith's chart→ The smith's chart provides a graphical representation of the impedance of the transmission line and of the corresponding reflection coefficient \((\Gamma)\) (option 1 is correct)

It is the intersection of two circles→

1) constant R-circles

F1 Neha B  Shraddha 21.01.2022 D1

 

2)constant x-circles 

F1 Neha B  Shraddha 21.01.2022 D2

complete circle in smith's chart i.e \(R=\infty\) to \(R=\infty\) is λ /2

360° = λ/2→ λ =720°  (option 2 is correct)

every point on the impedance Smith chart can be converted into its admittance counterpart by taking a 180° rotation (option 3 is incorrect)

clockwise movement on the chart corresponds to moving towards the generator. (option 4 is incorrect)

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