Taller Mercados Electricos
Páginas: 3 (655 palabras)
Publicado: 11 de julio de 2012
i (t ) =
dq ( t ) dt
q (t ) =
ti
t
i ( t ) dt + q ( t i )
i ( t ) = 2 [ A]
0 < t 1 10 3 [ s]
(t1, i1 ) = (1 ms, 2 A ); (t 2 , i2 ) = ( 3 ms, 5 A )
i (t ) = i i i2 i1 t + i1 t12 1 t 2 t1 t 2 t1
[ A]
5 2 5 2 t + 2 1 10 3 3 3 3 10 1 10 3 10 3 1 10 3000 1 [ A] i (t ) = t+ 1 10 3 t < 3 10 3 [ s] 2 2 i (t ) =
t ti
3
[ A]
1 10
3
t < 3 10 3 [ s]
kt n dt =k (t n+1 tin+1 ) n +1
ti
q ( t ) = 2t + q ( 0 ) [ C]
3000 2 1 q (t ) = t + t 4 2
0 < t 1 10 3 [ s]
ti
5 + q (1 10 3 ) [ C] 4000
1 10
3
t < 3 10 3 [ s]
q0
310
3
=q ( 3 10 3 ) q ( 0 ) [ C]
3000 1 5 ( 3 10 3 )2 + ( 3 10 3 ) + q (1 10 3 ) [ C] 4 2 4000 q (1 10 3 ) = 2 (1 10 3 ) + q ( 0 ) [ C] q ( 0 ) = q ( 0 ) [ C] q ( 3 10 3 ) =
q( 310
3
)
q0
3103
=
3000 1 5 ( 3 10 3 )2 + ( 3 10 3 ) + 2 (1 10 3 ) + q ( 0 ) q ( 0 ) [ C] 4 2 4000 3
q(110
)
q0
310
3
=
9 [ C] = 9 10 1000
3
[ C]
=
9 [ mC]
q0
310
3= A + B + C [ C]
A= 2 1000
2
1 1000
B= 4 1000
q0
310
3
=
+2
1 3 1000 1000
2 1000 C= 3 1000
[ C]
+ 1 (5 2) 2
3
1 3 1000 1000
2 1000
q0
310
3
=
9 [C] 1000
=
9 [ mC]
m
R=
R
Longitud [ m ] Área [ m 2 ]
R1 = ( 4 10 3 )
( 0,25 ) 1000 [ ] = 9 ( 3 10 3 )2
R2 = ( 6 10 3 )
( 0, 4 )
( 3 10 )
3 2
=
800 [ ] 3R1 111,11 [ ]
R2
266,67 [ ]
Vab = Vax + Vxb
Vab = RT I = Vax + Vxb = R1 I + R2 I
RT = R1 + R2
RT =
3400 9
377, 78 [ ]
1000 17 =
58,82 [ Hz ]
3
[ rad ]
7,07
A010 = =5 2 2 2
[Vrms ]
[ rad/s]
a ( t ) = 10sen 2
f=
30° 1000 t + 60° = 10 cos 2000 t +60° 90° 17 17 1 1 T Hz= s
[ V]
a ( t ) = 10sen 2000 = 10 cos 2000 t + 60° t 30° 17 17
36
[ V]
a ( t ) 10sen ( 369,599t +1,04719755 ) 10 cos ( 369,599t + 0,52359877 ) [ V]
fem = 0 [ V]
V1 V2 V4 V3 = 0 V4 = V1 V2 V3 V4 = ( 4 ) ( 3) ( 2 ) [ V] V4 = 1 [ V]
P = ±V
I...
dq ( t ) dt
q (t ) =
ti
t
i ( t ) dt + q ( t i )
i ( t ) = 2 [ A]
0 < t 1 10 3 [ s]
(t1, i1 ) = (1 ms, 2 A ); (t 2 , i2 ) = ( 3 ms, 5 A )
i (t ) = i i i2 i1 t + i1 t12 1 t 2 t1 t 2 t1
[ A]
5 2 5 2 t + 2 1 10 3 3 3 3 10 1 10 3 10 3 1 10 3000 1 [ A] i (t ) = t+ 1 10 3 t < 3 10 3 [ s] 2 2 i (t ) =
t ti
3
[ A]
1 10
3
t < 3 10 3 [ s]
kt n dt =k (t n+1 tin+1 ) n +1
ti
q ( t ) = 2t + q ( 0 ) [ C]
3000 2 1 q (t ) = t + t 4 2
0 < t 1 10 3 [ s]
ti
5 + q (1 10 3 ) [ C] 4000
1 10
3
t < 3 10 3 [ s]
q0
310
3
=q ( 3 10 3 ) q ( 0 ) [ C]
3000 1 5 ( 3 10 3 )2 + ( 3 10 3 ) + q (1 10 3 ) [ C] 4 2 4000 q (1 10 3 ) = 2 (1 10 3 ) + q ( 0 ) [ C] q ( 0 ) = q ( 0 ) [ C] q ( 3 10 3 ) =
q( 310
3
)
q0
3103
=
3000 1 5 ( 3 10 3 )2 + ( 3 10 3 ) + 2 (1 10 3 ) + q ( 0 ) q ( 0 ) [ C] 4 2 4000 3
q(110
)
q0
310
3
=
9 [ C] = 9 10 1000
3
[ C]
=
9 [ mC]
q0
310
3= A + B + C [ C]
A= 2 1000
2
1 1000
B= 4 1000
q0
310
3
=
+2
1 3 1000 1000
2 1000 C= 3 1000
[ C]
+ 1 (5 2) 2
3
1 3 1000 1000
2 1000
q0
310
3
=
9 [C] 1000
=
9 [ mC]
m
R=
R
Longitud [ m ] Área [ m 2 ]
R1 = ( 4 10 3 )
( 0,25 ) 1000 [ ] = 9 ( 3 10 3 )2
R2 = ( 6 10 3 )
( 0, 4 )
( 3 10 )
3 2
=
800 [ ] 3R1 111,11 [ ]
R2
266,67 [ ]
Vab = Vax + Vxb
Vab = RT I = Vax + Vxb = R1 I + R2 I
RT = R1 + R2
RT =
3400 9
377, 78 [ ]
1000 17 =
58,82 [ Hz ]
3
[ rad ]
7,07
A010 = =5 2 2 2
[Vrms ]
[ rad/s]
a ( t ) = 10sen 2
f=
30° 1000 t + 60° = 10 cos 2000 t +60° 90° 17 17 1 1 T Hz= s
[ V]
a ( t ) = 10sen 2000 = 10 cos 2000 t + 60° t 30° 17 17
36
[ V]
a ( t ) 10sen ( 369,599t +1,04719755 ) 10 cos ( 369,599t + 0,52359877 ) [ V]
fem = 0 [ V]
V1 V2 V4 V3 = 0 V4 = V1 V2 V3 V4 = ( 4 ) ( 3) ( 2 ) [ V] V4 = 1 [ V]
P = ±V
I...
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