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Q&A Low loss impedance matching without a transformer

As an alternative to doing the math, as detailed in Andy's answer, you can use a graphical aid called a Smith chart: These were used routinely before computers to match transmitters to antennas. ...

posted 4y ago by Olin Lathrop‭  ·  edited 4y ago by Olin Lathrop‭

Answer
#2: Post edited by user avatar Olin Lathrop‭ · 2020-06-25T12:32:39Z (almost 4 years ago)
  • As an alternative to doing the math, as detailed in Andy's answer, you can use a graphical aid called a <i>Smith chart</i>:
  • ![Image alt text](https://electrical.codidact.com/uploads/HENaWi2xejLxoG71EagHFhMa)
  • These were used routinely before computers to match transmitters to antennas. The math behind them is what Andy described. See the <a href="https://en.wikipedia.org/wiki/Smith_chart">Wikipedia page</a> for details, which is where the image above was copied from.
  • As an alternative to doing the math, as detailed in Andy's answer, you can use a graphical aid called a Smith chart:
  • ![Image alt text](https://electrical.codidact.com/uploads/Dwpv4vxJogdvG7FCntjoWGfU)
  • These were used routinely before computers to match transmitters to antennas. The math behind them is what Andy described. See the <a href="https://en.wikipedia.org/wiki/Smith_chart">Wikipedia page</a> for details, which is where the image above was copied from.
#1: Initial revision by user avatar Olin Lathrop‭ · 2020-06-24T11:58:32Z (almost 4 years ago)
As an alternative to doing the math, as detailed in Andy's answer, you can use a graphical aid called a <i>Smith chart</i>:

![Image alt text](https://electrical.codidact.com/uploads/HENaWi2xejLxoG71EagHFhMa)

These were used routinely before computers to match transmitters to antennas.  The math behind them is what Andy described.  See the <a href="https://en.wikipedia.org/wiki/Smith_chart">Wikipedia page</a> for details, which is where the image above was copied from.