A signal generator having an internal resisfarfe of \( \overline{5} \Omega \) and an circuited voltage \( v_{k}(t)=0.2 \) \( \cos 2 \pi 10^{8} t(\mathrm{~V}) \) is connected to a \( 50 \Omega \) lossless transmission line. The line is 20 m long, and the velocity of wave propagation on the line is \( 2.5 \times 10^{8} \mathrm{~m} / \mathrm{s} \). For a matched load, find (a) the instantaneous expressions for the voltage and current at an arbitrary location on the line, (b) the instantaneous expressions for the voitage and current at the load, (c) the average power transmitted to the load.