![]() ![]() If a transmission line of a characteristic impedance 100 Ω is terminated with a load impedance of 300+j200 Ω, then the normalized load impedance is:Ĭlarification: Normalized load impedance is obtained by dividing the load impedance with the characteristic impedance of the transmission line. Hence the given point lies in the lower half of the smith chart.ĩ. On the horizontal line of the smith chartĬlarification: In the impedance smith chart, the lower half of the smith chart corresponds to negative reactance or capacitive reactance. On the outer most circle of the smith chart.ĭ. In the Lower half of the impedance smith chartĬ. In the upper half of the impedance smith chartī. Hence, the given point lies in the upper half of the smith chart corresponding to the intersection of circles r=0.3 and r=0.4Ī. Lower half of the impedance smith chartĬlarification: In the impedance smith chart, the upper part of the smith chart refers to positive reactance or inductive reactance. Upper half of the impedance smith chartī. Normalized impedance of 0.3+j0.4 lies in the:Ī. Substituting the given values in the above equation, characteristic impedance of the transmission line is 200 Ω.ħ. If the input impedance of a ƛ/2 transmission line is 100 Ω with a voltage reflection coefficient of 0.344, then the characteristic impedance of the transmission line is:Ĭlarification: Given the characteristic impedance and reflection coefficient of a transmission line, input impedance is given by Zₒ (1+Гe -2jβL)/ (1- Г e-2jβL). Substituting the given values in the above equation, reflection coefficient is 0.3334.Ħ. If the normalized input impedance of a transmission line is 0.5 Ω, then he reflection coefficient of a ƛ/2 transmission line isĬlarification: Given the characteristic impedance and reflection coefficient of a transmission line, input impedance is given by Zₒ (1+Гe -2jβL)/ (1- Г e-2jβL). Substituting the given values, the input impedance of the line is 26.92 Ωĥ. If the characteristic impedance of a ƛ/2 transmission line is 50 Ω and reflection coefficient 0.3, then its input impedanceĬlarification: Given the characteristic impedance and reflection coefficient of a transmission line, input impedance is given by Zₒ (1+Гe -2jβL)/ (1- Г e-2jβL). ![]() Converting it to polar form, it takes the form of ┌=|┌|e jθ, Consisting of both magnitude and phase θ.Ĥ. It is a complex value consisting of both real and imaginary parts. Reflection coefficient of a transmission line in its polar form can be represented as:Ĭlarification: Reflection c co-efficient is defined as the ratio of reflected voltage /current to the incident voltage or current. Hence, only reflection co-efficient less than or equal to 1 can be plotted.ģ. Hence reflection co-efficient can never be greater than 1. Transmission co-efficient has to be less than or equal to one for the point to be locatedĬlarification: Reflection co-efficient is defined as the ratio of reflected voltage /current to the incident voltage or current. Reflection co-efficient greater than or equal to 1 can be plottedĬ. Reflection co-efficient less than or equal to 1 can be plottedī. Any passively realizable reflection coefficient can be plotted as a unique point on the smith chart. Hence, smith chart is based on the polar pot of voltage reflection co-efficient.Ģ. Magnitude is plotted as radius from the center of the chart, and the angle is measured in counter clockwise direction from the right hand side. Smith chart is based on the polar plot of:Ĭlarification: let the reflection co-efficient be expressed in terms of magnitude and direction as ┌=|┌|e jθ. Microwave Engineering Multiple Choice Questions on “Smith Chart”.ġ. ![]()
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