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L9lawi dyal TikZ
Euℓϵρ Mϵδ
2022

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GBF
A
V
S S
L
a b
a + k(b−a
n )
f(x)
N
Z
•
•
N − 2
Z − 2
N
Z
•
•
α
A
Z X
A−4
Z−2Y
N
Z
N − 1
Z + 1
•
•
N
Z
•
•
β−
A
Z X
A
Z+1Y
β+
N
Z
N
Z
•
•
N+1
Z−1
•
•
A
Z X
A
Z−1Y
N
t
•
N0
•
N0/2
t1/2
• •
τ
•
N0/e
pH
•
Solution neutre
1
2 pKe
0
pH 
1
2
pKe
[H3O+
]  [OH−
]
Solution acide
•
[H3O+
] = [OH−
]
pH 
1
2
pKe
[H3O+
]  [OH−
]
Solution basique
α(%)
pH
50%
pH = pKA
•
100%
α(AH) α(A−
)
pH
pKA
•
pKA − 1 pKA + 1
• •
Teinte de IndH Teinte de Ind−
Teinte sensible
Zone de virage
u
t
I0
C
=
∆u
∆t
∆u
∆t
u
t
E •
uc = E
0, 63E •
t = τ
•
i
t
I0 •
−0, 37I0 •
t = τ
•
uG
t
E
0
T/2 T
uc
t
E •
uc = E
T/2 T
• •
I0 •
i
t
−I0 •
T/2 T
• •
a
l =
L
2
L
θ
D
θ
a−1
∆θ
∆a−1
pH
•
0
•
[AH] = [A−
]
pKA
[AH]
Acide prédominant
[A−
]
Base prédominant
Energie
•
•
•
E′′
E′
E
Produits
Réactifs
nucléons séparés
∆E
P
Elreact
−
P
Elprod
Récepteur
i
u
C1 Cn
=⇒
Céq
C1
Cn
=⇒
Céq
R1 Rn
=⇒
Réq
R1
Rn
=⇒
Réq
E
(L, r)
R
(L, r)
R
(2)
(1)
E
R L
C
uc
uR = Ri
uL = L
di
dt
+ ri uR = Ri
uL = L
di
dt
+ ri
E •
u
t
−E •
T/2 T
• •
0
Etablissement du courant Rupture du courant
t(ms)
uc(V )
O
0.5
•
1 •
• •
up(t)
us(t) + U0
s(t)
t
u La tension modulée s(t)
x
O M
⃗
v ⃗
a
⃗
i
O x
y
M
⃗
v
R
•G
⃗
R RN
f
φ
y
x
⃗
P
α
α
A
B
⃗
R
y
x
α
h
B C
⃗
R
⃗
P
y
x
φ
D
r
M
θ
r
θ
O D
C M
M
⃗
P
⃗
u
⃗
n
⃗
R
z
⃗
P
⃗
Fa
⃗
f
O
⃗
k
x
y
⃗
i
⃗
j
⃗
v0
⊙ ⃗
B
⃗
F
⊙
⃗
k
A G
V
+ -
Anode Cathode
A′
A
B
B′
F′
F
P
2a
2b
Sun
Geocentric
frame
Earth
Star 2
Star 1
Star 3
Heliocentric frame
L C0 R1
−
+
▷ ∞
AO1
R2
C1 R3
C2
R4
R5
−
+
▷ ∞
AO2
R6
⃗
u
⃗
v
•
M
O
arg z
OM = |z|

⃗
u;
−
−
→
OM

≡ arg z[2π]
C
i
R
uc uR
C
i
R
E
uc
uR
C
i
R
uc
uR
I0
I0
A
−E (MeV par nucléon)
20 40 60 80 100 120 140 160 180 200 220 240
-10
-9
-8
-7
-6
-5
-4
-3
-2
-1
0
56
26Fe
235
92 U
2
1H
7
3Li
4
2He
184
74 W
140
54 Xe
q⃗
v
⃗
v
⃗
F
⃗
B
α
q  0
q⃗
v
⃗
v
⃗
F
⃗
B
α
q  0
Qr,i = K
•
Le système n’évolue pas
Tige
(∆)
L
Tige
(∆)
L
R
(∆)
Sphère
R
(∆)
Anneau
R
(∆)
Cylindre
R
(∆)
Disque
~
F
M
(∆)
Sens positif
~
F
(∆)
M
M∆ = +F.d
L
i
C
i
R
uc
uL
uR
i
u
R
(L, r)
C
d
A B
A
B
x
y
O
•
~
i
~
j
~
v0
d U
~
E
y
x
A
B
l
x D
d
De
α
α
~
F
~
v0
~
vS
~
E
O
S
P
~
vS
vxS
vyS
α
y
~
i
G
−xm xm x
O
G
y
~
T
~
R
~
P
∆l = x
t
x
xm
−xm
Epp = 0
G
t
E Ec Epe
G
∆l0
~
P
~
T
x
O
x
G
~
P
~
T
G
~
P
~
T
x
O
Epp = Epe = 0
y
x
y
x
G
~
P
~
T
~
R
α
y
x
x
G
O
z
Epe = Epp = 0
α
(∆)
~
T
~
P
G θ
(∆)
G
Epp = Ept = 0
E
x
Em
Em
2
Ec
Ep
−xm xm
z
d
~
P
G
~
R
θ
θ
M
O
(∆)
G0 = O
z
Sens positif
E
θ
Em = 2mgd
Ec
Ep
Ec
Ep = mgd(1 − cos θ)
−θm θm
z
d
~
P
G
~
R
θ
θ
M
O
(∆)
Sens positif
z
l
~
P
G
~
R
θ
O
(∆)
~
T
l
G
~
P
θ
e−
E
λ
1, 24meV
1mm
1, 5eV
0, 8µm
3, 1eV
0, 4µm
124eV
10nm
1, 24MeV
1pm
Rayons X Rayons γ
Ultra violet
Domaine visible
Infra rouge
Terre
Satellite
Rouge Blue Indigo Violet
n
p
hν
E
Ep
En
∆E = hν
z
y
x
M
r
~
ez
~
ey
~
ex
~
er
~
eθ
~
eϕ
ϕ
θ
~
ey
~
ex
~
eρ
~
eϕ
ϕ
ϕ
O
M1
M2
M3
M4
θ
θ̇
θm1 θm2 θm3
M
~
N
M0
~
N
~
T
~
T
~
u
O0
O
~
i
~
j
~
k
~
ex
~
ey
~
ez
O
y
z
x
~
ey
~
ez
~
ex
(R)
y0
z0
x0
O0
~
ey0
~
ez0
~
ex0
(R0
)
M
~
E
d~
S
r
d~
S
~
E
λ  0
+∞
−∞
M
~
er
~
ez
~
eθ
z
2r
x
y
~
ey
~
ex
O
~
ez
A
A0
2h 2h
ρ
−ρ
Surface équipotentielle
V (x) = Cte
x
~
E
x = h
x = −h
ys
zs
xs
yT
zT
xT
(RT )
yT
zT
xT
(RT )
y
z = z0
x
y0
x0
M
H
d~
l
~
B
(Γ)
I1
I2
+∞
z
z0 −∞
r
~
B
d~
l
d~
l
I
~
u
P
M
A
B
(Γ)
~
j ~
j ~
j
d~
S
2r
z
~
j ~
j
~
j ~
j
I
I
2r
~
j
x
y
f(a)
f(b)
f(x0)
x0
a b
x
y
f(a)
f(b)
f(x0)
x0
a b
x
y
f(a)
f(b)
f(x0)
x0
a b
x
y
f(a)
f(b)
f(x0)
x0
a b
x
y
f(a)
f(b)
f(x0)
x0
a b
x
y
f(a)
f(b)
f(x0)
x0
a b
x
y
f(a)
f(b)
f(x0)
x0
a b
~
u
O0
O
~
i
~
j
~
k
~
ex
~
ey
~
ez
EM wave
e−
Metal
ν (1015
Hz)
K (eV)
νc
−φ
K = hν − φ
σιρ τ32ωεδ
qA
qB
~
FqA/qB
~
FqB/qA
q  0
Sphère
r1 r r2
z
A(+q) O B(−q)
M
θ
Dipole nta3 Euler Med
O NH
N
H2
O
O
NH
NH2
O
O
NH
N
NH
NH
NH2
O
O
O
O
S
S
NH2
O
NH
N
H
O
OH
y0
z0 z
x0
O
x
y
Kora ardia
Lmakok ta2ir
M
x
y
r
⃗
n
⃗
τ
θ
⃗
er
⃗
eθ
⃗
ey
⃗
ex
⃗
ez
Earth
⃗
u
⃗
n
⃗
F
T
/
S
Satellite
z
O
G
⃗
P
⃗
Π
⃗
f
x
y
Spring 1
Spring 2
α
(S)
C1
i1
C2
i2
Ck
ik
i
i
Céq
C1 C2 Ck
≡
Céq
R
C
E
uc
uR
E0
E0
2
E0
1
Ox2
Ox1
Red2
Red1
0 5 10 15 20 25
0
5
10
15
VB ml
pH
pH-mètre
pH
Burette
NaOH
Bécher
CH3COOH
Agitateur magnétique
R
R
R
R
R
E
i
2R
R
E1
2R
E2
2R
2R
I
A
D
B
C
M
100V
40Ω
40V
15Ω
20V
25Ω
32V
40
I0
R
iR
L
iL
u
E
C
L
R
g2
=
0
g1
=
0
x4
1
x3
1
2
2
x5 x6
x2
2
1
1
x9
x7
1
3
x1
x8
g3  0
g3 = 0
g3  0
∇gi
∇f
x
y
b
f(b)
a
f(a)
c
Et voici votre zéro de la fonction f(c) = 0
A B M Tolérance
R
C
e(t)
uR
uc
yN (t)
t (s)
τ 6
2r
z
⃗
j ⃗
j
⃗
j ⃗
j
⃗
j2 I
2r
2r
⃗
j1
I
R1
R2
R3
Vue au dessus
R1
R3
J
⃗
j1
N
⃗
j2
J
⃗
ez
R2
r
B
R1 R2 R3
µ0I/(2πR1)
µ0I/(2πR2)
2r
2r R1
R2
R3
⃗
js1
⃗
js2
⃗
js2
I
z
C
D
A
B
I
z
C
D
A
B
ZBIIIIIII LA LA LALA
6
6,75
7.5
Semaine 15 Semaine 32
z
M
P
α
O I
d⃗
l
L
N
spires
I
z
M
O
R
α
I
I
R
R
z
O1
O2
M
N
P
a
d/2
d/2
b
P
b
I
R
O1
d/2
d/2
M
I
R
z
O2
N
a
x
y
z = z1
⃗
ey
⃗
ez
⃗
ex
R
x1
y1
⃗
ex1
⃗
ey1
⃗
ez1
O1
O
h
A
M
θ
⃗
u1
⃗
u2
φ = ωt
A
⃗
ez
⃗
ex1
⃗
u1
⃗
u2
θ
θ
⃗
ez
⃗
ex1
M
ẋ
x
ω
P
P
ω0
A B
m
x
A B
m
l1 = l + x l2 = l − x
⃗
T1
⃗
T2
⃗
P
⃗
R
z
O
u(t)
m
B
A
ξ(t)
Processeur Bus d’adresse
Bus de donnée
Read Enable
Write Enable
Adresse 13 (1101)
11100111
La mémoire
RE et WE
Bus de contrôle
Unité d’entrée
Unité de contrôle
Unité arithmétique-logique
ACC RI
CO RE
Les registres
RAM/ROM Mémoire externe
Unité de sortie
pH
•
0
•
[H3O+
] = [OH−
]
7
[H3O+
]  [OH−
]
Acide
[H3O+
]  [OH−
]
Base
x
y
B′
A′ [A′
B′
]
f(a)
f(b)
f(x0)
[AB]
B
A
x0
a b
x0 − ε x0 + ε
P
b
I
R
O1
d/2
d/2
M
I
R
z
O2
N
a
Electrotechnique
Electronique
Electrocinétique
Electrotechnique
Electronique
Electrocinétique
x
y
F6 F5 F4
F7 F3
F0 F1 F2
q3
q2
q1
q7
q0
1
q6
0 q5 q4
1
L
R
D1
D2
D3
D4 +
u4
u3
u2
u1
x
y
A
B
x
y
B
A
C
x
y
A
B
C
D
R1
I1
R
2
I2
Rn
In
A1
A2
An
N
2r
2r
× × × × × × × × × × × × × × × ×
I
(Γ1)
Γ3
(Γ2)
Rg
C11
R1
RC
IC0
C12
Ru
Vcc
R2
T1
RE CE
eg
VE
VS
I1
D
2
I2
D
5
I5
D8
I8
D6
I6
D9
I9
D3
I3
D
4
I4
D
7
I7
I1
⃗
j
⃗
i ⃗
VA
A
y
x
G
(S)
B
α
C
z
⃗
k
R1
R2
R3
R4
R5
I
E
A
B
R1
R2
R3
R4
A
B
UAB = ETh
≡
RTh
ETh
Circuit linéaire R
I
U ≡
RTh
I
R
ETh
R1
R2
R3
A
B
ETh
E
R1
R2
R3
R4
A
B
RTh
R5
I
ETh
x1
x3
x2
Ensemble des directions admissibles
Df
Dg
I1
R1 + R2I2
R3 I3
R1
R2
R3
IN
E1 E2
A
B
≡
IN
RN R4
I
R1
I1
R3
I2
IN
E1 E2
B
A
R1 R2 R3
RTh
≡
ETh
IN
RN
R1 R2
R4
E1 E2
U ≡
R1
R2 R4
E1
U′
+ R1
R2
R4
E2
U′′
Rth
Vcc
RE
RC
IC0
eth
VE
(⃗
P′
, E′
)
Photon diffusé
(⃗
π, ε)
y
x
(⃗
P, E)
Photon incident
électron au repos
(⃗
0, ε0)
φ
θ
E
⃗
π
E′
⃗
P′
φ
θ
E ⃗
0
O
E0
E1
R1
I1
U
I
E2
R2
I2
D
U(V)
-4
-3
-2
-1
1
2
3
4
I(A)
-1 -0.75 -0.5 -0.25 0.25 0.5 0.75 1
E′
E′
10−4
10−3
10−2
10−1
100
101
102
103
104
−1.5
−1
−0.5
0
0.5
1
fréquence
La
phase
Solide
Liquide
Gaz
Fusion Vaporisation
∆Hf ∆Hv
T
Q
-20
0
100
Chaleur
latente
Chaleur
sensible
∆h
S
ie is
G Q U
ue us
R
R C
α(I)
I
β(I)
α(N)
N
Re
Im
uR
uC
u
φ
Re
Im
uR
uC
u
φ
Re
Im
uR
uC
u
φ
Re
Im
uR
uL
uc
u
φ
xf
xn
r
r
xn+1
xf
xn
r
r +
δrn
xn+1
ε0
ε(t)
y
x
⃗
uy
⃗
ux
O
M
yM
xM
−
−
→
O
M
y
x
⃗
uy
⃗
ux
O
r
M
θ
⃗
uθ
⃗
ur
O y
z
x x′
y′
ωt
⃗
g
P
P′
Vue dans l’espace
y
x
x′
y′
P
Vue dans le plan horizontal
x
y
r
M
⃗
n
⃗
τ
θ
⃗
er
⃗
eθ
⃗
ey
⃗
ex
⃗
ez
y
z
x
O
dS
dθ
dz
M
M′
dr
dV
x
y
z
θ dθ
•
M
•
M′
dz
r
dr
z
dz
dr
r dθ
x
y
r
dS
θ
dθ
rdθ
dr
M
M′
⃗
ey
⃗
ex
⃗
eθ
⃗
er
x0
r x1
r . . . r xn
r + δr
xn+1 . . .
y
x
⃗
ey
⃗
ex
O x
y
M
M′
dS
y + dy
x + dx
z
y
x
x
y
z
−
−
→
O
M
⃗
ex
⃗
ey
⃗
ez
M
z
y
x
⃗
ex
⃗
ey
⃗
ez
M
M′
dS
d
⃗
l
dV
Le corps S
G
x
y
R
e
s
s
o
r
t
θ
α
x
y
Ressort 1
Ressort 2
α
(S)
Q1 Q2
F Q1
F ges
F Q2
+ +
q−
G
x
y
α
Q
q1
q2
q3
x
y
α
2α
⃗
u4→1
⃗
u2→1
⃗
i
⃗
j
⃗
F4→1 d
⃗
F1→2
⃗
F3→2
gouttes d’huiles électrisées
A
B
O
z
⃗
k
d
Microscope
(1) (2) (3)
x
⃗
i
O
O′
N
M
⃗
B
(∆)
y
⃗
P
⃗
RN
⃗
f
G
⃗
F
α
x
z
O
G
⃗
P
⃗
FA
⃗
f
G
Terre
RT
h1
S
⃗
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