Question

A 50-Ω lossless transmission line is terminated in a load of22 275Ω Calculate the reflections caused by the mismatch. Use the Smith Chart to match this transmission line to the load applying the two methods discussed in class to eliminate these reflections. Explain all your steps of the design process and justify your selection of the most efficient solution along the methods and among the two methods. Proof that the reflections are eliminated with your design

need a step by step solution, I do not understand much from the Smith Chart

Answer 1

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finally, using the Smith chart it was easy to calculate the reflection coefficient. Steps involved are

1) calculate the normalized load impedance using the formulae ==>Z normalized= Zl/Zo

2)plot the Zl on the Smith chart(ie..,the point of intersection of R and X circles)

3) calculate the distance from center and draw a constant VSWR circle with that length as radius

4) extend the line from the point where VSWR circle meet with the horizontal line and measure the value of reflection coefficient directly from Smith chart

But, to get the precise and accurate value measure theoretically from the formulae mentioned above