The centre and radius of a line with normalised load impedance of 1 + 0.5j isĬlarification: The centre and radius of a line are (1, 1/x) and 1/x, where x is the reactance. This point can be translated to the input by moving (1/3) toward the generator. The load impedance is normalized, and the point (0.5 + j0.5) is plotted and shown as point A in Figure 4.13. Open circuited stubs are not preferred as it will radiate power like an antenna, which is undesirable. The input impedance and reflection coefficient can be determined by using the Smith chart. Shunt stubs enable modification with ease.
#Use the smith chart to find the normalized load impedance series#
The best stub selection for the transmission line will beĬlarification: Normally series stubs are not preferred as modification of the stub parameters requires changing the whole stub setup. On substituting for r = 1, we get R = 1/1 + 1 = ½ = 0.5.ĩ. The radius of the point having a normalised resistance of 1 ohm isĬlarification: The radius of the point with a radius r is given by R = 1/r+1. Given that the load impedance is 30 ohm, the normalised load impedance of the 50 ohm transmission line is 30/50 = 3/5 ohm.Ĩ.
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The normalised load impedance of the transmission line 50 ohm with a load of 30 ohm isĬlarification: The normalised impedance is calculated by dividing the impedance with the characteristic impedance. The centre of the point having a normalised resistance of 1.2 ohm and reactance of 1.5 ohm isĬlarification: The centre of a point in Smith chart is given by C = (r/1+r, 0). This is used to calculate the normalised load impedance.Ħ. 4)To locate the input impedance on a Smith. 3)A line is drawn from the 1.0 point through the load to the outer wavelength scale. 1)The load impedance is first normalized and is located on the Smith chart. Moving towards the clockwise direction in the Smith chart implies movingĬlarification: On moving towards the clockwise direction in the Smith chart, we are traversing towards the generator. Finding the input impedance at any distance from the load. The resistance is unity and reactance is zero at this point.ĥ. The circles in the Smith chart pass through which point?Ĭlarification: All the constant resistance and reactance circles in the Smith chart pass through the (1,0) point. Also stub matching can be done using the Smith chart.Ĥ. The impedances are plotted using these circles. State true/false.Ĭlarification: The Smith chart is used for calculating the reflection coefficient and standing wave ratio for normalised load impedance of a transmission line.Ĭlarification: The Smith chart consists of the constant resistance circles and the constant reactance circles.
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The Smith chart is graphical technique used in the scenario of transmission lines. It is the polar chart of the reflection coefficient R with respect to the normalised impedance Znorm.Ģ. Therefore, Reflection coefficient can expressed as.
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Normalized impedance, Z ZL/ Zo r+ jx, where r R / Z0 and x X / Z0. This is because the behavior of the transmission line depends on load impedance as well as characteristic impedance. The Smith chart is a polar chart which plotsĬlarification: The Smith chart is a frequency domain plot. Normalized impedance is used for plotting on Smith chart. Electromagnetic Theory Assessment Questions and Answers on “Smith Chart”.ġ.