Circuitos RLC Con E.D
October 10, 2022 | Author: Anonymous | Category: N/A
Short Description
Download Circuitos RLC Con E.D...
Description
Wk b`rbu`tl b`rbu`tl gs gs uka rgj ghàbtr`ba (`ktgrblkgx`òk jg jls l más blmplkgktgs, tahgs blml rgs`stgkb`as, rgs`stgkb`as, `kjubtlrgs, `kjubtlrgs, bapab`tlrgs,, nugktgs, bapab`tlrgs nugktgs, `ktgrruptlrgs `ktgrruptlrgs y sgm`blkjubtlrgs) sgm`blkjubtlrgs) qug blkt`gkg ah mgkls uka traygbtlr`a bgrraja. Hls b`rbu`tls qug blkt`g blk t`gkgk kgk slhl slhl nugktg nugktgs, s, blm blmplk plkgkt gktgs gs h`k h`kgah gahgs gs (rgs`s (rgs`stlr tlrgs, gs, bapab`tlrgs, `kjubtlrgs), y ghgmgktls jg j`str`fub`òk h`kgahgs (hík (h íkga gas s jg trak traksm sm`s `s`ò `òk k l bafh bafhgs gs)) pugj pugjgk gk ak akah ah`z `zar arsg sg plr plr màtljl màt ljls s ahigfra`bls ahigfra`bls para para jgtgrm`kar su blmplrtam`gktl gk j`rgbta l l gk blrr`gktg ahtgrka. ahtgrka. blrr`gktg j`rgbta
Hls b`rbu`tls fás`bls, nlrmajls plr rgs`stgkb`as (V), blkjgksaj blkjg ksajlrgs lrgs (B) (B) y flf flf`k `kas as (H) (H),, buakjl sg ah`mgktak plr uka nugktg jg tgks`òk. Gstls b`rbu`tls sg jgklm`kak VHB VHB.. Wk b`rbu`tl VH VH slhamgktg slhamgktg plsgg Ha nugktg ha rgs`stgkb`a (V) (V) y y ha Flf`ka (H)
Gk gstg b`rbu`tl b`rbu`tl s` sg aph`ba aph`ba ha sgiukja sgiukja hgy hgy jg E`rbddln E`rbddlnn, n, sg tgkjrá qug gh vahlr `kstaktákgl jgh vlhtacg gs3 v =` V + H
j` jt
v = H H`` (t ) + V` '
Gsta óht`ma gxprgs` gxprgs`òk, òk, gs uka gxprgs`ò gxprgs`òk k j`ngrgk j`ngrgkb`ah b`ah kl dlmliàkg dlmliàkga, a, h`kgah h`kgah jg pr`mgr lrjgk. Gh s`iu`gktg b`rbu`tl gs VHB
Jg abugrjl blk ha hgy jg E`rbddlnn ha gbuab`òk j`ngrgkb`ah jg ha blrr`gktg jgh b`rbu`tl jg ha n`iura gs3
Ah jgsarrlhharsg jgsarrlhharsg sg t`gkg qug gs gqu`vahg gqu`vahgktg ktg a3 ' '
'
1
HQ H Q ( t )+ V Q ( t )+ Q ( t )= ^ ( ( t ) B ' '
'
Jlkjg
1
H q ( t ) + V q (t ) + q ( t ) =^ ( t ) B q ( t )= baria
jQ ( t ) (Nhucl ucl jg ghgbt ghgbtrlk rlkgs, gs, mlv`m` mlv`m`gkt gktl l jg ghgbt ghgbtrlk rlkgs gs a trav travàs às jgh jgh =q' ( t )(Nh jt t`gmpl). ` ( t )=
Rg jgfg rgblrjar qug3
v =`V
1. Ha baíja jg vlhtacg a travàs jg ha rgs`stgkb`a gs
1
6. Ha baíja jg jg vlhtacg a travàs jgh bapab`tlr gs
v= Q B v = H
2. Ha baíja jg vlhtacg a travàs jg ha `kjubtakb`a gs
j` jt
Blml sg lfsgrva ha slhub`òk jg gsta bhasg jg b`rbu`tls sg hlira a travàs jg uka gbuab`òk j`ngrgkb`ah jg blgn`b`gktgs blkstaktgs jg sgiukjl lrjgk kl dlmliàkgl Wk b`rbu`tl VB plsgg rgs`stgkb`a y bapab`takb`a.
' '
HQ ( t )+
1
B
Q ( t )=^ ( t )
Ha gbuab` b`ò òk j`ng `ngrg rgk kb`a `ahh sg rg rgj jubg a3 blkj`b`lkgs jg uka GJ. Jg lrjgk 6 Blgn`b`gktgs blkstaktgs.
bumph bum ph`gk `gkjl jl
has
Wka Flf`ka Flf`ka Ahmabgka Ahmabgka gkgriía. Wk blkjg blkjgksaj ksajlr lr ghàbtr`bl ghàbtr`bl blk blklb` lb`jl jl nrg nrgbug bugktg ktgmgk mgktg tg blm blml l bapab`tlr , gs uk j`spls`t`vl, bapaz jg ahmabgkar gkgriía gkgriía sustgktak sustgktakjl jl uk bampl ghàbtr`bl ghàbtr`bl.. Auk Aukqu qug g jgsjg gh puktl jg v`sta nís`bl uk blkjgksajlr kl ahmabgka baria k` blrr blrr`g `gkt ktg g ghàb ghàbtr tr`b `ba a, s`kl s`mphgmgktg gkgriía mgbák`ba hatgktg5 ah sgr `ktrljub`jl gk uk b`rbu`tl sg mgbák`ba b`rbu`tl sg blmplrta gk ha prábt`ba blml uk ghgmgktl bapaz jg ahmabgkar ha gkgriía ghàbtr`ba ghàbtr`ba qug qug rgb`fg juraktg gh pgr`ljl jg baria, ha m`sma gkgriía qug bgjg jgspuàs juraktg gh pgr`ljl jg jgsbaria. Ha rgs`stgkb`a V sg m`jg gk ldm`ls ldm`ls ( Π ) Ha `kjubtakb`a H sg m`jg gk dgkr`ls gk dgkr`ls ( D ¼¼
Ha bapab`takb`a B sg m`jg gk naraj`ls ( n ¼¼
dtps3//www.yluufg.blm/wabd? t ^ Gkbugktrg ha baria gk gh bapab`tlr y ha `ktgks`jaj jg blrr`gktg jgh b`rbu`tl para gh t`gmpl t q ( ? )=? B ` ( ? )=? A V 6? Π G ( t )= 1?? sgk >? t ^
Rg rgprgsgkta plr uka gbuab`òk j`ngrgkb`ah3 ' '
1
'
H q ( t ) + V q (t ) + q ( t ) =^ ( t ) B
Vggmphazl3
1
' '
'
q (t ) + 6? q ( t )+
6
1
q ( t )=1?? sgk >? t
?.??1
G.J. jg lrjgk 6, Kl dlmliàkga, jg blgn`b`gktgs blkstaktgs y blk blkj`b`lkgs jg `k`b`l. Rg rgsughvg plr traksnlrmaja jg Haphabg H
{
1 6
''
'
q ( t ) + 6? q ( t )+
H`kgah`jaj H
{
1 6
1 ?.??1
}
}
q ( t ) = H { 1?? sgk >? t }
q ( t ) + H { 6? q ( t ) } + H ''
'
{
1 ?.??1
}
q ( t ) =1?? H { sgk >? t }
1 6 1 6
{
' '
{
' '
H q ( t )
H q ( t )
1 H { q ( t ) }=1?? H { sgk >? t } }+ 6? H { q ( t ) }+ ?.??1 '
}+ 6? H { q ( t ) }+ 1??? H { q ( t ) }=1?? H { sgk >? t } '
Rg aph`ba tglrgma jg ha traksnlrmaja jg uka jgr`vaja 1
' s Q ( s ) ∖sq ( ? )∖ q ( ? ) ) + 6? ( sQ ( s ) ∖q ( ? ) ) + 1??? ( Q ( s ) )=1?? ( 6 6
(
>? 6
s + 2>??
)
Vggmphazl blkj`b`lkgs jg `k`b`l3 1
( s Q ( s) ∖s (? )∖( ? ) )+ 6? ( sQ ( s ) ∖(? )) +1??? ( Q ( s ) )=1?? 6 6
1
( s Q ( s) ) + 6?( sQ ( s ) ) +1??? ( Q ( s ) )=1?? 6 6
(
>? 6
s + 2>??
(
>?
s
6
+ 2>??
)
)
Vgsughvl hls paràktgs`s plr fás`bas3 1 6
6
s Q ( s ) + 6? sQ ( s )+ 1??? Q ( s )=
(
>???
s
6
+ 2>??
)
Rg jgfg rgslhvgr Q ( s ) Nabtlr blmók gv`jgktg3 Q ( s )
Q ( s )=
(
1 6
)(
6
s + 6? s + 1? 1?? ?? =
>??? 6
s + 2>??
)
>???
( s ¼¼ 6 + 2>?? )
(
1 6
6
)
s + 6? s + 1? 1?? ?? ¼
@kvgrsa jg Haphabg ∖1
H
{ Q ( s ) }= H∖ ¼ 1
Rg jgfgk aph`bar nrabb`lkgs parb`ahgs3 Jgfg gstar tljl gh jgklm`kajlr tltahmgktg nabtlr`zajl 1
(
6
6s
)
+ 6? s + 1??? =?
1
_lr buajrát`ba3 a = f =6? b =1??? 6
6
J`sbr`m`kaktg ( 6? ) ∖ :
( )( 1
1???
6
)= :??∖6??? =∖1>?? 8 ?
Rg blmphgtak buajrajls a s + fs + b =? 6
GH BLGN@B@GKZG _V@KB@_AH JGFG RGV 1. Gktlkbgs sg j`v`jg plr 1s
f a
6
b a
+ s + =?
Rg suma bgrl 6
f
f
6
6
( ) ( ) ( ( ) ) ( ( ) ) ( ( ) ( ( ) )
1s
+ fa s + ba + a6 ∖ a6 =?
Airupl
f a
s+
6
1s
6
f a
+ s +
6
+
f a
b + a
f a
6
6
6
=?
Gk gh gcgrb`b`l3
(
(
1 6
6
6
s
s+
)
+ 6? s + 1??? =? 6? 1 6
s+
)
1??? 1 6
=?
( s + :? s + 6??? )=? 6
Airgil bgrl3
6
+
b + a
f a
6
6
=?
a
(
6
s + :? s + 6???+
( ) ∖( ) )= :?
6
:?
6
?
6
6
( s + :? s + 6??? +( 6? ) ∖( 6? ) ) =? 6
6
6
Airupa3 ( s + :? s + ( 6? ) ) + ( 6??? ∖( 6? ) )= ? 6
6
6
6
( s +6? ) + 1>?? =? Hugil H∖ { Q ( s ) }= H∖ ¼ 1
1
Nrabb`lkgs parb`ahgs3 ∖1
H
{ Q ( s ) }= H∖ ¼ 1
_lr h`kgah`jaj ∖1
H ∖1
H
∖1
H
∖1
{ Q ( s ) }= H ¼ { Q ( s ) }= H∖ ¼. 1
{ Q ( s ) }= A H∖ ¼. 1
A qu`gk traksnlrmò para<
q ( t )= Abls >? t +
J :?
∖6? t
g
:?
∖6? t
g
>?
sgk >? t + b H
∖1
sgk >? t + b H
∖1
{(
s
( s +6? ) +1>?? ) 6
}
+¼
:?
sgk
t
q ( t )= Abls >? t +
J
F
F >?
{(
s + 6?∖6? 6
( s + 6? ) + 1>??
)}
+¼
sgk : ? t
_lr h`kgah`jaj q ( t )= Abls >? t +
F >?
sgk >? t + b H
∖1
s + 6? 6
{
( ( s+6? ) +1>?? )
∖ b H∖
1
} {
6?
+
6
}
( ( s+ 6? ) + 1>?? )
J :?
∖6? t
g
sgk : ? t
q ( t )= Abls >? t +
F >?
∖6? t
sgk >? t + b g
∖
bls bls :? t
6? :?
∖6? t
bg
sgk :? t +
J :?
∖6? t
g
sgk :? t
View more...
Comments