Formulari Electromagnetisme
1.
∫
=
v
3
0
dv
r
r ρ
ε π4
1
)r(E
2.
dv
r
ρ
ε4π
1
)rV(
v
0∫
=
3.
V - E ∇=
4.
∫⋅=−
B
A
ldE V(B) V(A)
5.
0 = ΔV ;
ε
ρ
= ΔV
o
−
6.
qp ;
r
ε
4π
rp
= V(P) 3
o
=
⋅
7.
r
ε
4π
sinθ p
=
E
;
r
ε
4π
cosθ p 2
=
E
3
o
θ
3
o
r
8.
( )
EpΓ ; E pF ; E p = U
×=∇⋅=⋅−
9.
1εχ;EχεPr0 −==
10.
ε2
σ
P2
e=
11.
V
Q
Q C
0
=≡
12.
Qb V
Va Q
nj
1j jiji
nj
1j jiji
∑
∑
=
=
=
=
=
=
13.
∑
=
=
=
Ni
1i ii
V q
2
1
U
14.
dv V ρ
2
1
U
v
∫
=
15.
VQ
2
1
U
N
1i ii
∑
=
=
16. dv DE
2
1
U
v
∫
∞
⋅=
17.
( )
Q
U- F ∇=
18.
( )
V
U F ∇+=
19. SdjI
S
∫⋅=
20.
v ρ j
=
21.
0
t
ρ
j=
∂
∂
+
⋅∇
22.
t
σ
jn ∂
∂
=
⋅
23.
E γ j
=
24.
r
1
R
1
S
∫
=
;
dS γ
dl
r
tub
∫
=
25.
R
VV
I
21
−
=
26.
∫⋅=
C
ld'E e
;
∫⋅=
P
N
ld'E e
27.
jE
dv
dP
⋅=
;
γ
j
dv
dP
2
J
=
;
j'E
dv
dP
G
⋅=
28.
γ
j
jE
2
=⋅
;
γ
j
jE - j'E 2
+⋅=⋅
29.
I )V - (V P 21
=
;
R I P 2
J=
; I e PG=
30.
r I )V - (V e
NP
+=
;
r R
e
I +
=
31.
∫
×
C
3
o
r
rld
I
4π
μ
= B
; ∫×
C
Bld I =F
32.
dv
r
rj
4π
μ
= B
v3
o
∫×
; ∫×
v
dv Bj = F
33.
)Bv + E( q = F
×
34.
A = B
×∇
;
∫
v
o
dv
r
j
4π
μ
= A
35.
j
μ
- = AΔ
0
;
0 = AΔ
36.
r
rm
4π
μ
= (P)A3
0
× ;
SIm
=
37.
r
4π
sinθ mμ
=
B
;
r
2π
cosθ mμ
=
B
3
0
θ
3
0
r
38.
( )
BmΓ ; B mF ; B m = U
×=∇⋅=⋅−
39.
H
χ
= M
m
;
1μχ
rm
−=
40.
M.n =
σ
; M - =
ρ
M
M
⋅∇
41.
dt
Φd
- =
e
i
42.
t
A
- =Ei∂
∂
;
B v = E
×
′
43.
ΦΦΦΦΦΦ inijiii2i1i +... +
+... + +... + + =
44.
I
M
=
Φ
jijij
45.
I
M
=
Φ
n
1j
jiji∑
=
;
L
=
M
iii
46.
Φ
I
2
1
=
U
jj
j
m
Σ
47.
dv j A
2
1
=
U
v
m
⋅
∫
;
dv H B
2
1
=
U
v
m
⋅
∫
∞
48.
( )
U
=
F
I
m
∇
;
( )
U
- =
F
Φ
m
∇
