Question

A load impedance, $(200+j0)\Omega$ is to be matched to a 50 $\Omega$ lossless transmission line by using a quarter wave line transformer (QWT). The characteristic impedance of the QWT required is

Answer 1

For quarter wave line transformer,

$Z_0^2=Z_{in}{Z}_L$

$Z_0^2=\left(50\right)\left(200\right)$

$Z_0=100\Omega$