Question

A transmission line of Zo = 125 ohm is connected to a lemda/4 section of transmission line (Zo = 250 ohm) which is terminated in 500 ohm load. Show that the transmission line is matched to lemda/4 section.

Answer 1

The transmission line is presented below:

The criteria for matching is

$$Z_0=\frac{Z_{0S}^2}{Z_L}.$$

Check whether our line fits this criteria:

$$125=\frac{250^2}{500}.$$

The expression is true, that is why the line matches the $\lambda/4$ ($\lambda$ reads "lambda") section.