Question

elementR,-150 Ω is inserted in-between two lossless TEM A series lumped resisive in the figure below. The characteristic impedance of the first 2. ransm ol 100 Ω and the phase velocity is the speed of light (up transmission line (Tx-Line 1) SCctie impedance of the second transmission line (Tx-Line 2) section c = 3 x 108 m/s). The character ond transmission line is terminated to the right so that there is no ission line sections as shown C3 x 10 m/s). The characteristic the isz,,-50 Ω Assume that the is terminated reflection from the terminating end of this second line. Termination Input Tx-Line 2 o 1. R,-150 Ω Z La Tx-line 1 z,1-100 Ω A'

Answer 1

Given v^+_0 = 1volttge V^-_0 = Vertical-bar gamma Vertical-bar _1 V^+_0 = 0.6 times 1 = 0.6 volts Here Z_i > 2r_1 so maximum will occur at z = 0 and minimum will occur after lambda/mu distance since temperature gets inverted after lambda/mu distance so maximum will become minimum at z = lambda/mu I.e: Vertical-bar V(Z) Vertical-bar _min Vertical-bar V(Z) Vertical-bar = Vertical-bar V^+_2 Vertical-bar + Vertical-bar V^-_z Vertical-bar = magnitude = 1 + 0.6 = 1.6 volts It is difference then Vertical-bar V^-1(Z) Vertical-bar = 1 - 0.6 = 0.4 volts