A quarter-wavelength transmission line is terminated with a 300 ohm load. Its input impedance is 75 ohms. Its characteristic impedance is:

Question

Quizplus · Accepted Answer

The input impedance $Z_{in}$ of a quarter-wavelength transmission line is related to its load impedance $Z_L$ and its characteristic impedance $Z_0$ by the equation $Z_{in} = \frac{Z_0^2}{Z_L}$. Given $Z_{in} = 75$ ohms and $Z_L = 300$ ohms, solving for $Z_0$ gives $Z_0 = \sqrt{Z_{in} \times Z_L} = \sqrt{75 \times 300} = 150$ ohms.

A Quarter-Wavelength Transmission Line Is Terminated with a 300 Ohm