Figure 5.3 shows the single-line diagram of a short transmission line that a resistor with the resistance of \(R\) has been installed in its middle point. Determine its transmission matrix.

1) \(\left[\begin{array}{cc}R+\mathbf{Z} & \mathbf{Z}(R+\mathbf{Z}) \\ \mathbf{Z} & R+\mathbf{Z}\end{array}ight]\)

2) \(\left[\begin{array}{cc}1+\mathbf{Z} & \mathbf{Z}(R+\mathbf{Z}) \\ \mathbf{Z} & R+\mathbf{Z}\end{array}ight]\)

3) \(\left[\begin{array}{cc}1+\frac{\mathbf{Z}}{2 R} & \mathbf{Z}\left(R+\frac{\mathbf{Z}}{4 R}ight) \\ \frac{1}{R} & 1+\frac{\mathbf{Z}}{2 R}\end{array}ight]\)

4) \(\left[\begin{array}{cc}1+\frac{\mathbf{Z}}{2 R} & \mathbf{Z}\left(R+\frac{\mathbf{Z}}{2 R}ight) \\ \frac{1}{R} & 1+\frac{\mathbf{Z}}{4 R}\end{array}ight]\)

Transcribed Image Text:

Vs Z R VR IR