Multiple choice

A two-port network has scattering parameters given by [S] = $\begin{bmatrix} \ s_{11} & s_{12} \ \ s_{21} & s_{22} \ \end{bmatrix}$. If the port-2 of the two port is short circuited, the s11 parameter for the resultant one port network is

  1. $\frac{s_{11}-s_{11}s_{22}+S_{12}s_{21}}{1 + s_{22}}$
  2. $\frac{S_{11} + s_{11}s_{22} - s_{12}s_{21}}{1 + s_{22}}$
  3. $\frac{S_{11} + s_{11}s_{22} - s_{12}s_{21}}{1 + s_{22}}$
  4. $\frac{S_{11} - s_{11}s_{22} + s_{12}s_{21}}{1 - s_{22}}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation