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Solved Problems-5

Problem-5
Determine the length and impedance of a quarter-wave transformer that will match a load of 150 Ω to a line of 75 Ω at a frequency of 12 GHz.
Solution
Here, Description: Description: 100040.png
 
For s quarter wave transformer, the input or source impedance is given as,
 
Description: Description: 100048.png
 
So, the input impedance of the quarter wave transformer is 37.5 Ω.
 
Also, length of the quarter wave transformer is,
 
Description: Description: 100057.png
 





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