Question

A load of 50 $\Omega$ is connected in shunt in a 2-wire transmission line of $Z_0=50\Omega$ as shown in the figure. The 2-port scattering parameter matrix (S-matrix) of the shunt element is

• A. $\left[\begin{array}{cc}-\frac{1}{2}& \frac{1}{2}\\ \frac{1}{2}& -\frac{1}{2}\end{array}\right]$
• B. $\left[\begin{array}{cc}-\frac{1}{3}& \frac{2}{3}\\ \frac{2}{3}& -\frac{1}{3}\end{array}\right]$
• C. $\left[\begin{array}{cc}0& 1\\ 1& 0\end{array}\right]$
• D. $\left[\begin{array}{cc}\frac{1}{4}& -\frac{3}{4}\\ -\frac{3}{4}& -\frac{1}{4}\end{array}\right]$

Answer 1

The correct option is C $\left[\begin{array}{cc}0& 1\\ 1& 0\end{array}\right]$

Ans : (b)

The line is terminated with 50 $\Omega$ at the center and so, matched on both the sides.