Compute the characteristic impedance, complex propagation constant, and attenuat

Question

Compute the characteristic impedance, complex propagation constant, and attenuation and phase constants for a two-wire transmission line at 1 GHz frequency. Assume the diameter of each conductor to be equal to 1.5 mm and the spacing between wires to be equal to 7 mm (copper conductor material). Assume the relative permittivity of the dielectric medium to be 2.3, and the properties for 5. copper conductors and air line are given below for your reference. Copper conductors: .-4"pi* 10^-7 H/m, .-5.8* 1017 s/m. Air line: = 8.854*10^-12 F/m, = 4* pi* 10^-7 H/m, = 0 S/m.

Explanation / Answer

clear all;
clc;
d=1.5e-3;
D=7e-3;
f=1e9;%Hz
w=2*pi*f; %rad/sec
uc=4*pi*1e-7;%H/m
u=4*pi*1e-7;%H/m
si=5.8*1e7; %S/m
epsi=8.854*1e-12; %F/m
Rs=sqrt(pi*f*uc*(1/si));
R=(2*Rs)/(pi*d); % Resistance
L=(u/pi)*(log(2*D*(1/d)));
C=(pi*epsi)*(1/(log(2*D*(1/d))));
G=0;
Z0=sqrt((R+(1j*w*L))/(G+(1j*w*C)));
gamma=sqrt((R+(1j*w*L))*(G+(1j*w*C)));
attenuation=real(gamma);
phase= imag(gamma);

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