(Solved): Assume a transmission line circuit with arbitrary generator and load impedances \( Z_{g} \) and \( ...

Assume a transmission line circuit with arbitrary generator and load impedances \( Z_{g} \) and \( Z_{1} \), as depicted in the Figure below, which may be complex. The transmission line is assumed to be lossless, with a length 1 and characteristic impedance \( \mathrm{Z}_{0} \). a) What condition, i.e relation between \( Z_{\text {in }} \) and \( Z_{g} \), needs to be satisfied so to guarantee maximum power transfer to the load? b) Discuss why if \( \mathrm{Z}_{\mathrm{g}}=\mathrm{Z}_{1}=\mathrm{Z}_{0} \) only half of the power generated by the generator is delivered to the load.