Transmission line exam problem 2

2.   A transmission line with Zo = 50 ohms is terminated in an impedance 25 + j 25 ohms. Find the reflection coefficient and standing wave ratio.

Answer

Using transmission line formulas.

The reflection coeffecient is,

Reflection coefficient = (25 + j 25 - 50)/(25 + j 25 + 50)) = (-25 + j 25)/(75 + j 25) = (-1 + j)/(3 + j) = 0.447 @ 116.6 degrees

The standing wave ratio is

SWR = (1 + 0.447)/(1 - 0.447) = 2.62