Distribution - Alain Le Rille

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ρ~ j
~
j
•div~ j=−∂ρ
∂t ≈0
•div ~ B= 0
•div ~ E=ρ
ε0≈0
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•−→ rot ~ E=−∂~
B
∂t
•−→ rot ~ B=µ0.~ j+µ0.ε0.∂~
E
∂t ≈µ0.~
j
C
eem =−∂φ
∂t φ=Z Z ~
B.−−→ d2S
~
B S C
β−
O β−
137
55 Cs →0 −1e−+137 56 Ba∗
A= 0,185MBq
I O
~
j
~
j
r= 10cm
I=−3,0.10−14A
r= 10cm ⇒
~
j
= 2,4.10−13A.m−2
A4 21cm 29,7cm 1000
σ
σ= +2,6.10−15C.m−2
R0= 3,0mm
I= 10A z
~
j
~
j
~
j
= 3,5.106A.m−2
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L0= 1,0cm y
I= 10mA x
~
js
~
js
~
js
= 0,10A.m−1
M= 63,54g.mol−1µ= 8,9.kg/L
NA= 6,02.1023mol−1e= 1,6.10−19C
n
hviI= 0,50A
a= 1,0cm
n= 8,4.1028m−3
hvi= 1,2.10−5m.s−1
z > 0~ j=j0.e−z
h.~ex
h
dI (z1, z2)
x y ∈[0; dy]z∈[z1;z2]
dI (0, z)
dI (0,∞)
z0z dI (0, z0) = 0,90.dI (0,∞)
~
js
~
js
h→0⇔~ js=j0.h.~exj0→ ∞
O
r O
ρ(r) = C.e−2.r
a0
a0= 52,9pm
p1(r, θ, ϕ)M(r, θ, ϕ)
p2(r)r O
rmax
C
p1(r, θ, ϕ) = C.e
−
2.r
a0
−e
p2(r) = 4.π.C.r2.e
−
2.r
a0
−e
rmax =a0
R∞
r=0 p(r).dr =−3,4.1012C.m−3
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