1. 16.360 Lecture 9 Last lecture Parameter equations input impedance

2. 16.360 Lecture 9 Parameter equations. B Open Circuit load Short Circuit load Unit circuit

3. 16.360 Lecture 9 Parameter equations

4. 16.360 Lecture 9 An example Smith Chart Input impedance Smith Chart Wavelength toward generator (WTG)

5. 16.360 Lecture 9 An example Smith Chart find Zin (-0.1 ) Constant |  | circle, SWR Circle

6. 16.360 Lecture 9 Today: SWR, Voltage maxima and minima Impedance to Admittance transformations

7. 16.360 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

8. 16.360 Lecture 9 Smith Chart An example Impedance to Admittance transformations G: conductance, B, susceptance

9. 16.360 Lecture 9 Smith Chart Normalized admittance z and y are directly opposite each other on

10. 16.360 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.

11. 16.360 Lecture 9 Next lecture Impedance matching