ABSTRACT

This chapter develops a ratio according to the ideas stated in the following. The circuit discussed here consists of a battery, a transmission line, and a switch. The end piece is different, either a short or an open. The battery has an output impedance of Z that equals the impedance of the transmission line. When the switch is closed, a step function travels down the line at the velocity of propagation. The voltage divides between the characteristic impedance of the line and the source impedance. The main interest is in what is at the far end of the line. If the line is open at the far end, the voltage doubles. The wave travels back, at the same velocity, to elevate each segment of the transmission line to full voltage. At the time the wave reaches the source, or battery, end, the current drops to zero and the full battery voltage is impressed across the transmission line (Fig. 11.1).