: Circuit résonant Première partie

V1(t)Ve(t)
CL,r
R
i(t)
e(t)
Rg
e(t) = Em·cos(ωt)V1(t) = V1m·cos (ωt −ϕ)
Z= (R+Rg +r) + j·Lω −1
Cω 
V1m=Em·R
q(R+Rg +r)2+Lω −1
Cω 2
f=ω
2π
LCω2= 1 1
2π√LC
(V1m)max =R
R+Rg+r·Em

V1(t)Ve(t)
CL,r
R
i(t)
e(t)
Rg
E+
E−
AOP1
S
i(t)
ie=0
S1(t)
ε1
ε1= 0
VE+=V1(t)VE−=S1(t)
ε1= 0 VE+=VE−.
S1(t) = V1(t)∀t

S1(t) = V1(t)∀t
V1(t)Ve(t)
CL,r
R
i(t)
e(t)
Rg
E+
E−
AOP1
S
i(t)
ie=0
S1(t)
ε1
V2(t)
i2(t)
Ud
R2
i2(t)>0V2(t) = R2·i2(t)>0.
S1(t) = Ud +V2(t)Ud = 0
V2(t) = S1(t)S1(t)>0
i2(t) = 0 V2(t) = R2·i2(t) = 0
S1(t) = Ud +V2(t) = Ud Ud < 0S1(t)<0
S1(t)<0V2(t) = 0
V2(t) = S1(t)si S1(t)≥0
V2(t) = 0 si S1(t)<0
V1(t)Ve(t)
CL,r
R
i(t)
e(t)
Rg
E+
E−
AOP1
S
i(t)
ie=0
S1(t)
ε1
V2(t)
i2(t)
Ud
R2
E+
E−
AOP2 R3
C3
S2(t) V3(t)
S2(t) = V2(t)∀t

V3 = S2·
1
jC3ω
R3+1
jC3ω
=S2
1 + jR3C3ω
V3m=S3m
q1+(R3C3ω)2
S3m(t) = V2m·sin(2π
Tt)V2(t)>0 0 < t < T 2
S3m(t) = 0 V2(t)≤0T
2≤t≤T
V2=1
TˆT
0
V2(t)·dt =V2m
Tˆ
T
2
0
sin 2π
Ttdt =V2m T·T 2π·−cos 2π Tt
T
2
0
=V2m
π
S2(t) = V2(t) = V2m
π+∞
X
n=1
Am·cos (nωt +ϕn)
nω ≥2π·477≈3.103rad/s
q1+(R3C3nω)2>> 1
V3 = V2m
π
f= 477 + 4293 ·t