A 50-MHz generator with Zg = 50 is connected to a load ZL= 50 j25- . The time-average power transferred from the generator into the load is maximum when Zg = Z_L_ where Z _L is the complex conjugate of ZL. To achieve this condition without changing Zg, the effective load impedance can be modified by adding an open-circuited line in series with ZL, as shown in Fig. 2-40 (P2.29). If the line’s Z0 =100 , determine the shortest length of line (in wavelengths) necessary for satisfying the maximum-power-transfer condition.