Chapter 10, Problem 10.23P

The normalized load on a lossless transmission line is $2+j1$. Let $\lambda =20\text{m}$ and make use of the Smith chart to find (a) the shortest distance from the load to a point at which $Z_{\text{in}}=r_{\text{in}}+j0$, where $r_{\text{in}}>0$; (b) Z_in at this point. (c) The line is cut at this point and the portion containing Z_L is thrown away. A resistor r = r_in of part (a) is connected across the line. What is s on the remainder of the line? (d) What is the shortest distance from this resistor to a point at which Z_in = 2 + j1?