Workshop 5 about the Smith Chart PDF

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Summary

A generator at 850 MHz drives a coaxial cable of length 𝐿 =170.0 cm. The generator’s amplitude is 1 Vs
volt
amplitude and the internal resistance is  50 Rs
ohms...

Description

ELEC 351 Tutorial Workshop #5 Name: ________________________ I.D. Number:___________________

A generator drives a transmission line of characteristic impedance 𝑅 =73 ohms and speed of travel 𝑢 =30 cm/ns. The transmission line is 𝐿 =50 cm long and runs from 𝑧 = 0 to 𝑧 = 50 cm, where it is terminated with an unknown load impedance ZL . An engineer uses a slotted line to measure the standing-wave pattern. There is a standing-wave maximum at z=48.648 cm of value 1.0659 volts, and an adjacent standing-wave minimum at z=45.709 cm, of value 0.1302 volts. 1)How far apart are the minima in the standing wave pattern? Give the value in cm. 2)What is the frequency? 3)What is the standing-wave ratio? 4)The reflection coefficient is Γ = |Γ |𝑒 . What is the value of |Γ |? 5)What is the angle 𝜙 of the reflection coefficient? 6)What is the value of the load impedance 𝑍 ? Smith Chart 7)Find the normalized impedance 𝑧 =

 

and then find 𝑧 on the Smith Chart.

8)Use the Smith Chart to read the magnitude of the reflection coefficient |Γ | and the angle of the reflection coefficient 𝜙. Do these values agree with your answers in parts 4) and 5) above? See lecture notes set 6.2 and 7.1....