Question

50 kHz signal is propagating along a transmission line with R = G = 0, Problem, 2) A 7.5 m, and C = This line the line and carefully labeling each part) using the matching? nF. This line is termainated by the load Zi 50 +150. Match the load to the line (draw wavelength r innedance of the line. What percent wavelength method. The following two graphs qre 1L ntage of the incident voltage is reflected before and after

Answer 1

f = 50khz, R = G = 0 lossless transmission line L = 7.5 times 10^-6 H/m, = 3 times 10^-9 F/m Z_0 = squareroot L/C = squareroot 7.5 times 10^-6/ 3 times 10^-9 Z_0 = squareroot 7.5 times 10^3/3 = 50 OHM SIGN and Z_L \ 50 + j 50 OHM SIGN lambda = c/f = 3 times 10^8/50 times 10^3 = 3 times 10^4/5 = 6000m F Vertical-bar 4 Vertical-bar : A Transmission line with lambda/4 line for impedance matching IF Z_in = Z_0, then No reflections or standing waves exist to the left of lambda/4 line although standing waves exist in lambda/4 line, to the left lambda/4 line perfect matching is possible. Z_in = (Z_0)^2/Z_2 Z_0 = squareroot Z_in Z_L but Z_in = Z_0 = 50 OHM SIGN for matched load condition Z^'_0 = squareroot 50 times (50 + j50) = 50 squareroot 1 + j = 50[squareroot 2 e^j pi/4