Magnétostatique Notes de cours - Alain Le Rille

dq S dt I
A
I=dq
dt =ZZM∈S
j(M).−−→ d2S
ji
qivini
j=X
i
ni.qi.vi
j j
A·m−2
M j(M)/R1R1
j(M)/R2R2
j(M)/R1= j(M)/R2+ρ(M).v(M)R2/R1
v(M)R2/R1M R2R1
I C u
I=ZM∈C jS(M).u.d
jSA·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)⇔
jx(x, y, −z) = +jx(x, y, z)
jy(x, y, −z) = +jy(x, y, z)
jz(x, y, −z) = −jz(x, y, z)
(xOy)⇔
jx(x, y, −z) = −jx(x, y, z)
jy(x, y, −z) = −jy(x, y, z)
jz(x, y, −z)=+jz(x, y, z)
(Oz)R j//uz
div 
B= 0
φ1 B=ZZM∈S1 B(M). d2S1=φ2 B=ZZM∈S2 B(M). d2S2
S1S2 B
◦

n−→
rot  B=µ0. j+µ0.ε0.∂~
E
∂t
µ0= 4π×10−7H·m−1
C S C C
IM∈C
B(M). d =µ0.(I)
I=RRM∈S j(M).−−→ d2S
B
◦

BΠ
Π∗
(Oz)R j//uz
B
j
(Oz)R
I
B
B
◦

C I
m =I. S
S C C
σ
m =γ.σ
γ
Bω
r
B~= 1,05 ×10−34 J·s
µB
B
B
B(M)M m
Br(M) = µ0
4.π .2.m. cos θ r3
Bθ(M) = µ0
4.π .m. sin θ r3
Bϕ(M)=0
◦