Électromagnétisme Électrostatique - e

−→
E
−→
E (M) = 1
4πε0ZP∈D
−−→
PM
PM3dq(P)
V(M) = 1
4πε0ZP∈D
dq(P)
PM
dq
D
dq=λd`dq=σdS dq=ρdτ
−→
E (M) = 1
4πε0
N
P
i=1
qi
−−→
PiM
PiM3
V(M) = 1
4πε0
N
P
i=1
qi
PiM
◦iPi
ε0ε0εr
−→
E = −−→ ∇V−→ E·d
−→
`=−dV
UAB = VA−VB=ZB
A
−→
E·d
−→
`
−→ E
D
x, y, z, r θ, ϕ
Q+= C.(V+−V−)=C.U
−→
p=q−→ NP
rd
−→
E = 1
4πε0
3(−→ p·−→ ur)−→ ur−−→ p
r3V = −→
p·−→ ur
4πε0r2
1/r3−−→ OM = r−→ ur
−→
Eq−→ F = q−→ E
−→
E−→ p−→ F = −−→ grad −→ p·−→ E−→ M=−→ p∧−→ E
Ep=qVEp=−−→ p·−→ E

−→
E + −+
−→
E (M)
−→
E
d−→ E (M) dq(P)
−→
E⊥d
−→
S
ZZ
−→ E·d
−→
S = Q
ε0
−→
E = ±σ
2ε0−→
n
−→
E = λ
2πε0r−→
ur
−→
E = q
4πε0r2−→
ur
−→
=γ−→ E−→ =ρ−→ v

−→
B
−→
B (M) = µ0
4πZP∈D
−→
dC ∧−−→ PM
PM3
−→
dC
D
−→
dC = id
−→
`−→ dC = −→ sdS −→ dC = −→ dτ
µ0µ0µr
−→ B
D
x, y, z, r θ, ϕ
I = ZZ −→ ·d
−→
SA.m−2
I = ZS·d` SA.m−1
ΦB=ZZ −→ B·d
−→
S = L.I
ΦB
e=−dΦB
dt
e
−→
m=i−→ S
−→
S
rd
−→
E = µ0
4π
3(−→ m·−→ ur)−→ ur−−→ m
r3
1/r3−−→ OM = r−→ ur

−→
B−→ F = q−→ v∧−→ B
−→
B−→ dF = id
−→
`∧−→ B
−−→
dM=−−→ OM ∧−→ dF
−→
B−→ m−→ F = −−→ grad −→ m·−→ B−→ M=−→ m∧−→ B
−→
M
−→
B
−→
B
−→
B
−→
B
d−→ B
−→
B⊥d
−→
`
CB=I(C)
−→
B·d
−→
`=±µ0I(C)C
−→
S=S−→ uy−→ B = ±µ0S
2−→
ux
−→
B = µ0i
2π r −→
uθ
−→
B = µ0
N
`i−→
uz

jω
u= R i
U = R I Z = R
u/i
i= Cdu
dtq= C u
I = j C ωU Z = 1
j C ω
u/i −90◦u i
u= L di
dtϕ= L i
U = j L ωI Z = j L ω
u/i +90◦i u
u= C = E
i= C = I0= I
Z = Z1+ Z2
Z = Z1Z2
Z1+ Z2