163
3.2 Le théorème de l’extra-élément
r
L
10Ω
:=
R
2
10kΩ
:=
R
3
120Ω
:=
R
4
1.2kΩ
:=
R
5
3.3kΩ
:=
L
1
1H
:=
|| x y
,
( )
x y
⋅
x y
+
:=
Z
inf
R
2
R
4 || R
3
R
5
+
(
)
+
10.8883kΩ
⋅
=
:=
R
d
r
L
R
2
+
R
5
R
4
+
(
) || R
3
+
10.1269 kΩ
⋅
=
:=
R
n
R
2 || R
4
(
) R
3
+
|| R
5
r
L
+
885.3817Ω
=
:=
Z
1 s
( ) Z
inf
1
R
n
s L
1
⋅
+
1
R
d
s L
1
⋅
+
⋅
:=
ω z
R
n
L
1
ω
=
:
p
R
d
L
1
:=
Z
2 s
( ) Z
inf
1
ω z
s
+
1
ω
p
s
+
⋅
:=
f
z
ω z
2π
140.9129Hz
⋅
=
:=
f
p
ω p
2π
1.6117kHz
⋅
=
:=
1
10
100
1 10
3
×
1 10
4
×
1 10
5
×
60
70
80
20 log
Z
1 i 2
⋅ π f
k
⋅
(
)
Ω
10
,
⋅
20 log
Z
2 i 2
⋅ π f
k
⋅
(
)
Ω
10
,
⋅
f
k
1
10
100
1 10
3
×
1 10
4
×
1 10
5
×
0
20
40
60
arg Z
1 i 2
⋅ π f
k
⋅
(
)
(
)
180
π
⋅
arg Z
2 i 2
⋅ π f
k
⋅
(
)
(
)
180
π
⋅
f
k
Figure 3.41 La formule finale est capturée dans Mathcad
®
afin de vérifier numériquement les résultats.
© Dunod - Toute reproduction non autorisée est un délit.