Filtre LC proiectate pe baza parametrilor de lucru
Scopul lucrarii
Masuratori asupra unor filtre LC obtinute prin sinteza pe baza parametrilor de lucru si anume, gabaritul alimentarii de lucru si resistentele de terminatie.
Desfasurarea lucrarii
A) pt circuitul din fig 1c
f(kHz) |
0.1 |
0.5 |
1 |
5 |
10 |
20 |
30 |
50 |
70 |
80 |
90 |
U2(V) |
0.978 |
0.977 |
0.974 |
0.973 |
0.973 |
0.977 |
0.967 |
0.812 |
0.469 |
0.338 |
0.245 |
│HC(f)│ |
0.978 |
0.977 |
0.974 |
0.973 |
0.973 |
0.977 |
0.967 |
0.812 |
0.469 |
0.338 |
0.245 |
│HC(f)│ =2U2/E* Rg/Rsunde Rg=Rs=Rc=600Ω
E=2V
0,979/ 2 →0.692→ft
B)
ft=57.6khz => ω0=361.72kHz
R=600Ω
L= (2*600/361.72) *10-3=3.31mH
C=[1/(600*361.72)]*10-3=4.60*10-9=4.60nF
C)
Ft=57.6kHz
F(kHz) |
5.76 |
9.6 |
14.4 |
19.2 |
33.25 |
57.6 |
99.76 |
172.8 |
230.4 |
345.6 |
576 |
t0(μs) |
5 |
7 |
6 |
5 |
6.4 |
6.2 |
4.7 |
3.6 |
1.4 |
1 |
0.74 |
φ |
-10.36 |
-24.19 |
-31.1 |
-34.56 |
-76.6 |
-121.5 |
-108.8 |
-243.3 |
-116.1 |
-124.4 |
253.4 |
φt |
-11.47 |
-19.19 |
-28.96 |
-38.9 |
-70.88 |
-45 |
-19.11 |
-51 |
-61.03 |
70.81 |
78.52 |
φ =-360 t0f0
φt=arctg(2*f/ft-f3/ft3)/(1-2f2/ft2)
D)pt circuitul din fig.2b)
E=2V;Rg=600Ω;Rs=1200Ω;Rc=Rg
f(kHz) |
0.1 |
0.5 |
1 |
5 |
10 |
20 |
30 |
50 |
70 |
80 |
90 |
U2(v) |
1.317 |
1.317 |
1.315 |
1.313 |
1.315 |
1.322 |
1.327 |
1.313 |
1.17 |
1.02 |
0.85 |
|Hc(f)| |
0.931 |
0.931 |
0.925 |
0.928 |
0.929 |
0.934 |
0.938 |
0.928 |
0.827 |
0.721 |
0.601 |
E)
Ft=85.5kHz => ω0 =563.94kHz
R=2R0=1200Ω
L=3*600*10-3/563.94=3.19 μF
C1=1*10-3/(600*563.94)=2.95nF
C2=1/2*C1=1.47nF
F)ft=85.5kHz
f(kHz) |
8.55 |
14.25 |
21.37 |
28.5 |
49.36 |
85.5 |
148.1 |
256.5 |
342 |
513 |
855 |
t0(μs) |
4 |
4.4 |
3.8 |
4.4 |
4.1 |
4.4 |
3.08 |
2.4 |
1.96 |
1.4 |
0.8 |
φ |
-12.42 |
-25.57 |
-29.23 |
-45.14 |
-72.82 |
-135.4 |
-164.2 |
-221.6 |
-241.3 |
-258.5 |
246.2 |
φt |
-11.47 |
-19.18 |
-28.96 |
-38.99 |
-70.88 |
-45 |
-19.11 |
-61 |
-61.03 |
-70.81 |
78.52 |
G) pt circuitul din fig 3B
f(kHz) |
0.1 |
0.5 |
1 |
5 |
10 |
20 |
30 |
50 |
70 |
80 |
90 |
U2(V) |
0.987 |
0.987 |
0.983 |
0.954 |
0.704 |
0.722 |
0.807 |
0.132 |
0.04 |
0.02 |
0.01 |
|HC(F)| |
0.987 |
0.987 |
0.983 |
0.954 |
0.704 |
0.722 |
0.807 |
0.132 |
0.04 |
0.02 |
0.01 |
H) ft=31.85kHz => ω0 200.01kHz
R=600Ω
L=600*10-3/200.01=2.99mH
C=2*10-3/(600*200.01)=8.33nF
I) ft=31.85kHz
f(kHz) |
3.185 |
5.308 |
7.96 |
10.61 |
18.38 |
31.85 |
55.16 |
95.55 |
187.4 |
191.1 |
318.5 |
t0 |
14 |
12.6 |
12.8 |
12.8 |
12.6 |
15 |
11.6 |
7.4 |
5.4 |
3.8 |
2.4 |
φ |
-14.05 |
-24.08 |
-36.6 |
-48.9 |
-76.75 |
-172 |
-230.3 |
-254.5 |
-247.6 |
-261.4 |
275.3 |
φt |
-11.47 |
-19.18 |
-28.9 |
-38.58 |
-70.85 |
-45 |
-19.09 |
-51 |
-61.03 |
-70.81 |
78.52 |
J) pt circuitul din figura 5
f(kHz) |
0.1 |
0.5 |
1 |
5 |
10 |
20 |
30 |
50 |
70 |
80 |
90 |
t0(μs) |
0.016 |
0.018 |
0.014 |
0.015 |
0.032 |
0.114 |
0.26 |
0.69 |
1.2 |
1.43 |
1.6 |
׀HC(f)׀ |
0.016 |
0.018 |
0.014 |
0.015 |
0.032 |
0.114 |
0.26 |
0.69 |
1.2 |
1.43 |
1.6 |
K)
ft=57,2kHz
ω0 =359,21
R=R0=600Ω
L=112*600/359,21=0,83mH
C1=C2=1*10-3/600*359,21=4,63*10-9=4,63μF
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