circuits électriques linéaires

i
e
e(i1+i2) = e(i1) + e(i2)
i vn
n e
e≡vB−vA
v
v≡vA−vB.
q C
i A Cs−1
v e V JC−1
RΩV A−1=JsC−2
C F CV −1=C2J−1
L H V sA−1=Js2C−2
P W V A =Js−1
e
e i
v i e
V I E
n
X
k=1
ik= 0
i

e
n l
epm vql+m=n
l
X
p=1
ep+
m
X
p=1
vp= 0
i
t vR
vR=vA−vB=Ri
vc

C q −q
q=Cvc.
i(t) = dq(t)
dt =Cdvc(t) dt .
vc(t) = vc(0) + 1
CZt
0
i(t)dt .
dvc/dt = 0
i(t) = 0
Φv
v(t) = dΦ
dt
L
Φ = Li.
vL(t) = Ldi(t)
dt
i(t) = I=di/dt = 0
vL(t)=0
vA−vC=vA−vB+vB−vC=R1i+R2i= (R1+R2)i .
Rs
Rs=R1+R2

i=i1+i2vA−vB=
R1i1=R2i2=Rti
1
Rp
=1
R1
+1
R2
ou Rp=R1R2
R1+R2
.
q1=q2=q
v1=vB−vA=q/C1v2=vC−vB=q/C2
v1+v2=vC−vA=q(1/C1+ 1/C2) Cs
1
Cs
=1
C1
+1
C2
ou Cs=C1C2
C1+C2
.
q=q1+q2
vB−vA=q/C1=q/C2
Cp=C1+C2.
Ls=L1+L2.
1
Lp
=1
L1
+1
L2
ou Lp=L1L2
L1+L2
.

vR2R2
vR2=R2e/(R1+R2)