The following transmission line is 12.75 lambda long and has a characteristic impedance of 100 Ohm. At one end the line is shorted as shown. A 50 Ohm impedance is connected at 6.25 lambda from the short. a. Calculate the input impedance to the line – do not guess!!!! – you must explain your answer. b. An additional impedance is now connected at a distance d from the existing 50 Ohm impedance. What is the necessary impedance and what is the distance d so that the input impedance is 25 Ohm?