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

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

Complex Plane

Reflection coefficient at the load

Input Impedance

Maxima and Minima

Impedance to Admittance Transformation

(c) (d) (a) (b)

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

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