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Smith Chart Questions and Answers

1.

The distance around one cycle of Smith chart is :

Exam Year(s)

MH SET - 2020, SET Exam - 2020,

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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2.

The Smith chart is primarily used for the analysis of :

Exam Year(s)

MH SET - 2024, SET Exam - 2024,

Answer: A

The Smith chart is primarily used for the analysis of transmission lines.

The chart maps normalised impedance \(z = Z/Z_{0}\) onto the complex reflection-coefficient plane, with circles of constant resistance and arcs of constant reactance. Moving along a lossless line corresponds simply to rotating about the centre, so impedance transformation, VSWR, the position of voltage maxima and minima, and the design of stub and quarter-wave matching networks can all be read off graphically.

Filters, logarithmic amplifiers and oscillators are analysed with transfer functions, Bode plots and loop-gain methods. A Smith chart may appear in RF amplifier or oscillator matching work, but only because those designs involve transmission-line matching.

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