8 campo magnetico
Transcript of 8 campo magnetico
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Magnetostática
Bibliografía consultada
•Sears- Zemasnky -Tomo II•Fisica para Ciencia de la Ingeniería, Mckelvey•Serway- Jewett --Tomo II
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CAMPO MAGNETOSTATICO
qctev
'r r'rrR
30
4 'rr'rrvqB
q se nueve con v cte en el vacíov<<c
0 permeabilidad magnética del vacío
ATm7
0 104
y
x
z
Cq
mr,segmv,TB
30
4 R
RvqB
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q se mueve con ventrante al pizarrón
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q se mueve con v cte entrante al pizarrón
CAMPO MAGNETOSTATICO CAMPO ELECTROSTATICO
3
04 'rr
'rrvq)z,y,x(B
30 rr
)'rr(q4
1)z,y,x(E
2 00
1
c
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Ley de Biot - Savart
'r
r'rrR
y
x
z
30
30
44 R
Rdt
lddqR
RvdqBd
30
4 R
RldIBd
30
4 'rr'rrldIB
30
4 'rr'rrldIBcteI
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I entrante al pizarrón
30
4 'rr'rrldIB
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'r
r'rrR
l
-l
B creada por un conductor fino de longitud 2l por el cual circula una corriente I
30
4 'rr'rrldIB
0,0,xr 0,'y,0'r
22 'yx'rr
0,'y,´x'rr
00,,'dyld
2
322
3'yx
y'yxxydy'rr'rrld
zlx
lxI
z'dy
)'yx(
xI),,x(B
l
l
220
23
22
0
2
400
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Como es simétrico respecto al eje e
I
X
Y
Z
B
ˆlr
lrI),,x(B
220
200
l zlx
lxI),,x(B
22
02
00
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B creada por un conductor fino infinito por el cual circula una corriente I
'r
r'rrR
l
-l
lr
ˆlr
lrI),,x(B
220
200
ˆrI)r(B
20
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CAMPO MAGNETOSTATICO CONDUCTOR INFINITO,
CORRIENTE I
I entrante al pizarrón
r
E
CAMPO ELECTROSTATICO DE UN DENSIDAD LINEAL
INFINITA DE CARGA
rr
)r(E
02
1
r
B
ˆrI)r(B
20
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B creada por espira de corriente I
a R
30
4 'rr'rrldIB
0,0,xr
sena,cosa,'r 0
22 ax'rr
asen,cosa,x'rr
dcosa,dsena,ld 0
zdsenaxydcosaxxdasenacosax
dcosadsenazyx
'rr'rrld
2
3 0
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30
4 'rr'rrldIB
dxa
zaxsenycosaxxaIB2
322
22
0
04
x
ax
aI)o,o,x(B2
322
20
2
x
ax
mxax
AI)o,o,x(B2
322
0
2322
022
Si x>>a Espira puntual3
02 x
m)o,o,x(B
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B
x
x
ax
aI)o,o,x(B2
322
20
2
Dirección de B en el eje de un espira
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IMAN
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DIPOLO ELECTRICO
d.qp nAIm DIPOLO MAGNETICO
Pm
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FUERZA ENTRE CONDUCTORES PARALELOS
d
zdI),d,x(B 10
1 20
zdI),d,x(B 20
2 20
. .I2
I1
B1
F21
x x
B2
F12
ˆrI)r(B
20
BldIF
yLBIIF 2121
yLBIIF 2112
x
y
z
mN
LFmdparasi:AdefineSe 71021