16.360 Lecture 9 Last lecture Parameter equations input impedance.

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Presentation transcript:

Lecture 9 Last lecture Parameter equations input impedance

Lecture 9 Parameter equations. B Open Circuit load Short Circuit load Unit circuit

Lecture 9 Parameter equations

Lecture 9 An example Smith Chart Input impedance Smith Chart Wavelength toward generator (WTG)

Lecture 9 An example Smith Chart find Zin (-0.1 ) Constant |  | circle, SWR Circle

Lecture 9 Today: SWR, Voltage maxima and minima Impedance to Admittance transformations

Lecture 9 Recall: Smith Chart If when 2  z +  r = 2n . | V 0 | [ 1 - |  |], + |V(z)| min = when 2  z +  r = (2n+1) . | V 0 | [ 1+ |  |], + |V(z)| max = SWR, voltage maximum and minimum

Lecture 9 Smith Chart An example Impedance to Admittance transformations G: conductance, B, susceptance

Lecture 9 Smith Chart Normalized admittance z and y are directly opposite each other on

Lecture 9 Smith Chart An example A 50-  lossless line is terminated in a load ZL = (25+j50) . Use the smith chart to find a) voltage reflection coefficient, b) the voltage standing-wave ratio, c) the distances of the first voltage maximum and first voltage minimum from the load, d) the input impedance of the line, given the line is 3.3, and e) the input admittance of the line.

Lecture 9 Next lecture Impedance matching