Q$5)[6$ Marks$]$

Part I$)[2$ Marks$]$ A $50-$MHz generator with $Z_g=27\mathrm{.}5+j32\mathrm{.}286$ is connected to a load. The time$-$average power transferred from the generator into Zin at $z=0$ is maximum when $Z_g=Z_{in}^{**},$ where $Z_{in}^{**}$ is the complex conjugate of $Z_{in}.$ Determine the load necessary for satisfying this maximum$-$power$-$transfer condition. $[2$ Marks$]$