Question

A lossless transmission line is terminated with a short circuit at the far end as shown in the figure below. Calculate the input impedance Zin a) at dc; b) when the line islong; c) when the line is long; d) when the line is2 long. e) Based on the previous results, plot the imaginary part of the input impedance as a function of 8 the electrical length of the line. 0 points) 2 7 Zo Zin

Answer 1

transmission line type = losses step - 1: we know that the equation for input impendence of transmission line when it is terminated with short circuit is given by Z_in = j Z_0 tan (Bl) for short circuited (1) a) where l = line length and beta = 2 pie/pie at Dc means at f = 0 doubleheadarrow at beta = 0 at Dc , Z_in = j Z_0 tan (theta) = 0 at D_c , S_in = 0 (2) b) when the line is lambda/8 long , the input impedence is given by doubleheadarrow Z_in = j Z_0 tan (2 pie/lambda middot lambda/8) where beta = 2 pie/lambda l = lambda/8 doubleheadarrow at l = lambda/8 , Z_in = j Z_0 tan (pie/4) \r\n doubleheadarrow at l = lambda/8 , Z_in = j Z_0 (3) c) when the line is lambda/4 long , the input impendence is given by