The circuit above has the following parameters:
R=55 Ohm, C=1.5 uF ("u"=micro), L1=3 mH, L2=4 mH;
Using MATLAB (or equivalent tool) generate the transfer function H = Vo/Vi magnitude MdB(f) and Phase(f) frequency dependencies in the frequency range from 100 Hz to 12000 Hz.
Define the Magntude plot of the transfer function by entering f (Hz) and M (dB) points. Do not enter units.
Define the Phase plot of the transfer function by entering f (Hz) and Phase (in degrees) points. Do not enter units.
Script:1
syms s;
L1=0.003;L2=0.004;
C=1.5*(10^(-6));
R=55;
Z=[(1/s*C)+(s*L1) -s*L1 ;
-s*L1 (s*(L1+L2))+R ];
V=[1 0]';
I=inv(Z)*V;
H=I(2)*R
Command window:
H =
______________________________________________________________________________
Script 2:(From the above trasnfer function)
clc;close all;clear all;
b =[24349702177296608133120000 0 0];
a=[12174851088648304375000 1549526502191602375 24349702177296608133120000 1770887431076116955136];
f=linspace(100,12000,1000);
w=2*pi*f;
H=freqs(b,a,w);
figure;
subplot(211)
plot(f,20*log10(abs(H)));grid;
xlabel('f(Hz)');ylabel('|H|')
title('Magnitude response')
subplot(212)
plot(f,rad2deg(angle(H)));grid;
xlabel('f(Hz)');ylabel('
title('Phase response')
%For tabulation
f=[100 200 400 600 800 1000 2000 4000 6000 8000];
w=2*pi*f;
H=freqs(b,a,w);
M=20*log10(abs(H));
PH=rad2deg(angle(H));
A=[f' M' PH']
f(Hz) M(Mag) PH(phase)
103 ×
0.1000 0.0101 -0.0900
0.2000 0.0040 -0.0900
0.4000 -0.0020 -0.0900
0.6000 -0.0055 -0.0900
0.8000 -0.0080 -0.0900
1.0000 -0.0099 -0.0900
2.0000 -0.0160 -0.0900
4.0000 -0.0220 -0.0900
6.0000 -0.0255 -0.0900
8.0000 -0.0280 -0.0900
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