Question: I am wanted no to replicate this plot using matlab. This is an example out of the book. How would I do this. /4 matching

 I am wanted no to replicate this plot using matlab. This
I am wanted no to replicate this plot using matlab. This is an example out of the book. How would I do this.

/4 matching section. In addition, the above condition applies only when the length of the matching section is /4 or an odd multiple of /4, long, so that a perfect match may be achieved at one frequency, but impedance mismatch will occur at other frequencies. FREQUENCY RESPONSE OF A QUARTER-WAVE TRANSFORMER EXAMPLE 2.5 Consider a load resistance RL = 100 to be matched to a 50 line with a quarter-wave transformer. Find the characteristic impedance of the matching sec- tion and plot the magnitude of the reflection coefficient versus normalized fre- quency, flfo, where fo is the frequency at which the line is AJ4 long. Solution From (2.63), the necessary characteristic impedance is Zi-V(50)(100) = 70.71 . The reflection coefficient magnitude is given as Zin - Zo where the input impedance Zin is a function of frequency as given by (2.44). The frequency dependence in (2.44) comes from the term, which can be written in terms of flfo as Be where it is seen that | = /2 for f-fo, as expected. For higher frequen- cies the matching section looks electrically longer, and for lower frequencies it looks shorter. The magnitude of the reflection coefficient is plotted versus fifo in Figure 2.17. , 0.3 0.2 0.1 0.0 00 1.0 2.0 30 40 ff. quarter-wave trans- !IGURE 2.17 Reflection coefficient versus normalized frequency for the former of Example 2.5

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