1.

A two-port network has scattering parameters given \(\left[ s \right] = \left[ {\begin{array}{*{20}{c}} {{s_{11}}}&{{s_{12}}}\\ {{s_{211}}}&{{s_{22}}} \end{array}} \right]\). If the port 2 of the two-port is short-circuited, the s11 parameter for the resultant one-port network is

A. \(\frac{{{s_{11}} - {s_{11}}{s_{22}} + {s_{12}}{s_{21}}}}{{1 + {s_{22}}}}\)
B. \(\frac{{{s_{11}} + {s_{11}}{s_{22}} - {s_{12}}{s_{21}}}}{{1 + {s_{22}}}}\)
C. \(\frac{{{s_{11}} + {s_{11}}{s_{22}} + {s_{12}}{s_{21}}}}{{1 - {s_{22}}}}\)
D. \(\frac{{{s_{11}} - {s_{11}}{s_{22}} + {s_{12}}{s_{21}}}}{{1 - {s_{22}}}}\)
Answer» C. \(\frac{{{s_{11}} + {s_{11}}{s_{22}} + {s_{12}}{s_{21}}}}{{1 - {s_{22}}}}\)


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