Électrostatique Notes de cours - Alain Le Rille

e e = 1,6×10−19 C)
qC
Q V
Q=ZZZM∈V ρ(M).d3τ
ρC·m−3
iqini
ρ=X
i
ni..qi
Q S
Q=ZZM∈S σ(M).d2S
σC·m−2
Q C
Q=ZM∈C λ(M).d
λC·m−1
•ρ(x, y, z) = ρ(x, y) j(x, y, z) =  j(x, y)
•ρ(r, θ, z) = ρ(r, z) j(r, θ, z) =  j(r, z)
•ρ(r, θ, z) = ρ(r)
•ρ(r, θ, ϕ) = ρ(r) j(r, θ, ϕ) =  j(r)
◦

(xOy)⇔ρ(x, y, −z) = ρ(x, y, z)
(xOy)⇔ρ(x, y, −z) = −ρ(x, y, z)
(Oz)R
div  E=ρ
ε0
ε0= 8,85 ×10−12 F·m−1
E
◦

Qint =RRRM∈Vρ(M).d3τ V
Σ
φ−→ E=ZZ −→ E .−−→ d2Σ = Qint
ε0
◦

−→
rot  E=−∂
B
∂t
−→
E=−−−→ grad(V)
V
−→
E
E
∆V+ρ
ε0
= 0
◦

VΠ
Π∗
EΠ
Π∗
(Oz)R
V E
q O
V(M) = q
4.π.ε0OM
−→
E(M) = q
4.π.ε0
−−→
OM
OM3
◦