The impedances {Z}= {j} {X}, for all {X} in the range (-\infty, \infty), map to the Smith chart as

Correct Answer is : a circle of radius 1 with centre at (0,0).

a circle of radius 0.5 with centre at (0.5,0).

a circle of radius 1 with centre at (0,0).

a point at the centre of the chart.

a line passing through the centre of the chart.

GATE Electronics and Communications (EC) 2020 Solved Papers

Question : 32 of 65

Marks: +1, -0

The impedances

{Z}= {j} {X}

, for all

{X}

in the range

(-∞, ∞)

, map to the Smith chart as

Solution:

Z=j X

{R}=0

(constant)
Hence, its mapping to the smith chart will represent a circle which has centre

(\;{ {R}}/{ {R}+1}, 0)=(0,0)

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