1. Smith Chart Parametric Equations
rL circles
rL circles are contained inside the unit circle
xL circles
Only parts of the xL circles are contained within the unit circle

2. Positive xL Circles rL Circles Negative xL Circles
Complete Smith Chart
Positive xL Circles
rL Circles
Negative xL Circles

3. Complex Plane

4. Reflection coefficient at the load

5. Input Impedance

6. Maxima and Minima

7. Impedance to Admittance Transformation

8. (c)
(d)
(a)
(b)

9. Given:
S = 3
Z0 = 50 Ω
first voltage 5 cm from load
Distance between adjacent minima = 20 cm
Determine: ZL

10. 16.360 Lecture 11 An example Smith Chart
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.
Smith Chart