4. The input impedance to a transmission with characteristic impedance Zo connected to a load ZL is given below tan tan L o in o o L Z jZ l Z Z Z jZ l            where 2    , l is the length of the transmission line(usually given in wavelengths) and λ is the wavelength. a) Sketch Zin vs l (in wavelengths) if ZL=0, (i. e. a short circuit). What is the range of values for Zin? b) Repeat part a if ZL =[infinity] (i. e. an open circuit). c) How do the short circuited and open circuited transmission lines compare? d) How would the input impedance vary with length is ZL=75Ω and Zo=50Ω? e) In general, how does the input impedance of a terminated transmission line vary with distance from the load?