A quarter-wave transmission line is used to match a 25 $2 load to a 75 $2 generator, i.e. the input impedance seen from the generator needs to be 75 $2. The A/4 transformer is lossless with E, 2.25 and the generator operates at 2 GHz. a. Calculate the physical length of the A/4 transformer (in meters) b. What should the characteristic impedance of the A/4 transformer be? c. Find out and compare the time-average power delivered to the load with and without the X/4 transformer if the generator voltage amplitude is 10 V. d. Calculate the voltage standing wave ratio on the X/4 transformer.

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A quarter-wave transmission line is used to match a 25 $2 load to a 75 $2 generator, i.e. the input impedance seen from the generator needs to be 75 $2. The A/4 transformer is
lossless with E, 2.25 and the generator operates at 2 GHz.
a. Calculate the physical length of the A/4 transformer (in meters)
b. What should the characteristic impedance of the A/4 transformer be?
c. Find out and compare the time-average power delivered to the load with and without the X/4 transformer if the generator voltage amplitude is 10 V.
d. Calculate the voltage standing wave ratio on the X/4 transformer.
Transcribed Image Text:A quarter-wave transmission line is used to match a 25 $2 load to a 75 $2 generator, i.e. the input impedance seen from the generator needs to be 75 $2. The A/4 transformer is lossless with E, 2.25 and the generator operates at 2 GHz. a. Calculate the physical length of the A/4 transformer (in meters) b. What should the characteristic impedance of the A/4 transformer be? c. Find out and compare the time-average power delivered to the load with and without the X/4 transformer if the generator voltage amplitude is 10 V. d. Calculate the voltage standing wave ratio on the X/4 transformer.
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