Multiple choice

A load of 50$\Omega$is connected in shunt in a 2-wire transmission line of Z0 = 50 $\Omega$as shown in the figure. The 2-port scattering parameter matrix (S-matrix) of the shunt element is

  1. $ \left[ \begin{array} \ -\dfrac{1}{2} & \dfrac{1}{2} \\\\ \dfrac{1}{2} & -\dfrac{1}{2} \end{array} \right] $
  2. $ \left[ \begin{array} \ 0 & 0 \\\\ 1 & 1 \end{array} \right] $
  3. $ \left[ \begin{array} \ -\dfrac{1}{3} & \dfrac{2}{3} \\\\ \dfrac{2}{3} & -\dfrac{1}{3} \end{array} \right] $
  4. $ \left[ \begin{array} \ \dfrac{1}{4} & -\dfrac{3}{4} \\\\ -\dfrac{3}{4} & -\dfrac{1}{4} \end{array} \right] $
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C Correct answer
Explanation