GATE EC 2007 Electromagnetics Solution Q 7

GATE EC 2007 Electromagnetics Solution Q 7

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

GATE EC 2007 Electromagnetics Solution img4 - Grad Plus

(a){l}\begin{bmatrix}-\frac12&\frac12\\frac12&-\frac12\end{bmatrix}\\

(b) {l}\begin{bmatrix}0&1\\1&0\end{bmatrix}\\

(c) {l}\begin{bmatrix}-\frac13&\\frac23\\frac23&-\frac13\end{bmatrix}\\

(d) {l}\begin{bmatrix}\frac14&-\\frac34\-\frac34&\;\frac14\end{bmatrix}\\

Ans :- (b)

Explanation

As the resistance at cenre is equal to the characteristic impedance, the line is perfectly matched.

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