Question

please provide the Matlab code and figure.

P2) Use MATLAB to plot the attenuation constant a in [dB/m] scale as a function of frequency f. Assume er = 10, u = Ho, and o = 4. Notice the variation of loss with frequency. (Enclose the print-out of the plot.)

Answer 1

MATLAB code is given below in bold letters.

clc
close all;
clear all;

% define er
Er = 10;
E0 = 8.85*8.85e-12;

% define e
E = Er*E0;

% define permeability
mu0 = 1.256e-6;
mu = mu0;

% define sigma
sigma = 4;

% define frequency vector
w = 2*pi*logspace(-3,5,1e3);

% now define the attenuation constant
alpha = w.*sqrt(mu*E/2*(sqrt(1+(sigma./(w*E)).^2)-1));

% Now plot w vs alpha
figure;
plot(w,20*log10(alpha),'linewidth',2);
grid on;xlabel('frequency (rad/sec)');ylabel('dB/m');
title('attenuation constant, \alpha');

attenuation constant, a dB/m 6 frequency (rad/sec) x 10