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Careful about assuming that a 1/4 wave stub will do the trick...
To match a 50 ohm line to a 2500 ohm load using a shorted stub at the transmission line end and a section between the 50 ohm line and the 2500 ohm load requires (using sections shorter than 1/4 wave for each): 50 ohm stub & section: 8.2 degrees & 81.9 degrees 75 ohm: 8.3 & 82.1 degrees 100 ohm: 8.5 & 82.2 degrees 150 ohm: 9.0 & 82.6 degrees 200 ohm: 9.8 & 83.3 degrees 300 ohm: 15.0 & 85.7 degrees 350 ohm: 45 & 88.9 degrees 353.55 ohm: 90 & 90 degrees Note that the last on is the case of not using a stub (90 degree stub looks like an open circuit). The 1/4 wave line impedance should be sqrt(Zin*Zout). You can adjust the length to tune out reactance, too. But if you're matching resistive load to resistive line, the total length of the stub part and the series part will be longer than 1/4 wave, and more so as the impedance of the stub and series part rise. You can't use this arrangement if the stub and series section impedances are higher than sqrt(Zin*Zout). SO--beware of spacing the two too far apart! Cheers, Tom |
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