ejercicios resueltos de thevenin y norton
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F.5sl Uru ul Ioote,^-o, d,,ffipo"r c\ .\o!tn u,,ri\,to rc / v \ n \ . r v c , . { t o r l o F r g
,-\( \ o v
\ G V+
: X N
{ Co \ . . r \ o ' , \ o vcs r s \ t ' ^ c \ o \de \hEv4ivr
? V I L
b R 4 6l^-^-
Ap\i.o^, \V X cLA \ o "a\\p' Jo
V o b + 6 v + 6 v , ( r , - 6 * A ) + : x I = oV * r b = 3 6 - A - ? K I rV a b - - 3 o ^ 9 ( 4 * A ) = - G v = V + * ,
V o = - G ( 4 )
t r\ \q.vz -
V"P s . s 5
- G V+Vo 4 + 4 . b
Vo= a -?e V
-Tl - ' Yv^/v\\Ao\ \o ?n t\j 5 - 3 l f D c r t z
' f f i t . do \a t\3wra P3-s lura^ i lo \ I vo( eY\.t6 dc 1Vrwntt "1
' ^ l - r / \f < \ r n e : ( 1 V 1 ) l : Y ) = 4 - S V__*-
9 + 9 v t L
b) (, o\.*\ o J"\ v e\l 'a. ',t c\a \\ 'ra'z't,n
2 "*l\
il C..\.*\o q, \ ^C Th ev 'ni t'l
v Z s \ s \ a n c i ' a
R\nov -= 2 IAJL
b) C.^\.', \o o\ vo\\oiv Jo thaus"li''l
2 -,4
{
c\b I r
P
+
6 r ^ NAplt ca^.o LV ( oun n,,cr\\. !3 x 1 r + 6 x ( r , - * A ) + 6 v ( r , - 6 , A )
+ 3 K J l = ol B | ' ( \ r = ? 2 -
f , - - ; ? , , . r A - - A " * At 8
+
Au t Vo
6r
-
A p \i cd,n"o l.,C X c^u. oI woo I- 4 * " A + 2 - , 4 + I R , n * = o
' IRrx ' . = ) " ' rAAp\iuo^tl., LV!( a,n lo *".r\\o IoV , ^ b - t u . ( e * A ) * ! t ( t " * A ) = o
Vnb = O = V+Vtev= ) 5 . 2 = O A
b) C["u lo " \ vo[ to;a [ ,Tlr r,r enr\A
t 2 v
Ag\i.-.,^t kvV.' o,^ l6t "o\\'. !/ 2 V + e ( [ r , ) + t l ( ( r , - 4 - h ) = o
3 t ( \ r = 4 - t er\ __ _ 9 *o
Apll..r^,\o L.V V.- -v"r To , porrorotut*\ no r .r.\ u o\\ 4.. c,I h O v v ' \ t v 'V . r b - V n r x - V n e x - O
--) v.ru= A v - J 4 v = - { 3 V
/
3 3
4 - A
") Cr\.o\o il., \o, rus\s\ernciod,.ct thcrvcrr\v1
R+Vt vl( Ka+ \(rt-
l("r : E Krr-b
- t t lerT V. { vrz\ r 4,rd V o
r \-.?,n \o\ ) t c1u.r o
\ r \ - )v I, TV orv!4tl
?^ " \P s . 4 \
Ao 1\navenlvr
-Av3
Cu^l*\, .\" \)o
N o =-1n G3 s
V e = B V
- L3
4 l ' )--
t lq
b
+ -.{* +
+v,.1
t + 2
-
@D*\o.,r^inq t au\ al cir-- c,,.i\o , \ a Ft q., P5.4 ? r,rs o^&p-\ t,r.o. kw.p\ Ao" T\nouar-iv"tg
.
Apli *n"o tV( aA 'oo\[tri K l a t P W I - \ V = Q
g K l z = I Z V:) Ie = 4t^ A
V * b = V t ^ r r u : e J r * l X l - K ( - 4 * A ) * i x ( 4 " ^ A )
V+Vnv = -4 V
G Vt o
b
= -4 - G6)j ( a )
" ^ A tI
)vlr
?(
8*r.ruu :
4 x I t3
\ -) o
{ o V
I o
l) sa. "tr\r^i'to. ,\
o\o*-.r^\"e rnt v ds'
a) 5o- c* \ . .^ ' t " \o ,s\s \vrc \o'
o th., En rv1= 7 t , "A
2
b{ ( t -3
@l ! s q,\ fro,e*'a &n
2 ( - r t
z v 4
No v\ovr p arc^ )'\rn*i vrafVo v\ a\ l-,,cc"t-itP d)\ [otFig- Ps.5+
TK
3) C\cJo }.'\ vo\\5s &s1V,susa',1
2/t
Ag)t\ co^dp t-V t( Q)/\ "nP'\\o
I
2 K I \ + 1 2 V + t t / ' ' - - o
3 k a , = - l YI r = - 4 * A
24v\
,r -:-:::^,r \ \ .c-vtto B1 ) 5 c" o. o oV to. c )' ?'l\?Yv/ \ r I I - -
i^\uns l, "
*[t"\* | a v-czsls -t ' , 'c io N/or\o 'n
?.
1 ( "3
4 (f,t
Vo? "*A
1-tluJW\T It K + q f e K 4
- ffit a\, Ic,ub\,\a trTo
-
ffijD\urvr"rnr^ vo oA r\'ffi,\o
a'^ \ cr Fig' P 5'5qaro^Jro o\ ToYr'*.t). ilrThcv '+,,7
J l ; - . * , i . , . " ' i
= * I " ( b : I ' : . . i , f ' \ * I eApIi ,o^A. Ia LvVe^nno\\a I
lKfr, + t"^A -I*I-t V + J x I r : o2 K f r - l l , ( 1 2 : 0
Agl\6wd.o L.VV- ovt ,^u\lu, l K I * 4 * t t ( ( r ,+? "^A - u ) =o- t t ( 5 l + 2 L ( I z : - 2 V
E \ a\stca"^.o. \it,ea'\ os
Iz - t l [ ] ; ' l - [o IK l \ l F I Il - r a 'L : r r J L - rJf r , l , [ r ] [ o rl _ l = r \ l \ l * F .L . 1 - 4 - L t L J L - ) J: ) r = I f r t o ) + e ( , - ) ) l . _ 4 . , ^ \
3 L - 3J v : . e * ^ , A - t - { \ , ^ Av g JT v : 4 . * N
Co\"w\, 'o 5o
+Vo
t b
1
Ao \V 3;Fri
*.* /.
/ 2 v: r l
l s".gqo s}' n\o*^un* o z iqt vvzs
a sn .."\ "..^\ t
\a R zs\s*anc\'cr'
J o \\^ru" u^i ^ t\i v'"' c-vr\ o^-No
o\ t rcw\to coln t^.^* Vt^t^!g
l v
Ap\\.o*'o tv \l' dr\ no\\^ \
xr ' + Y.8r* \ ) = o6 V < I r + 2 ( I t ' = d
A g\\.o*-"o Lv X v\/\ "^'or\\a 2
K L r r ' J - ) - I V - 2 ( 4 K 1 ' ) = O- G K f r + ? ( 5 t = - L
I :\s\ax.",a \,, ^ tJ a-s'
. [c , 2 l [ r , ] - I o IK Lt ,JL'-'l=L'1\ - - - l I - r - > l [\ t ' \ r \ r : ' l \ o 1 * AL t , I = , ' l e G IL t \r : IL rLo)+af , ) ] = t *0 ,
I I o4 K r
_97r o = + - 7 _ = 9 * A
) { e/ ' 3 .+ j ! l l? ' ,
+ v {
+ .----.--
{ 3 ' b
-
C b r + ( r ^ ( \ * 4 -t* *o 3* 'i r.1g i*ri.?r\t{ J a ee> urla { '1"-s\s, \eqL\ , ' } r , ' \vr ,^ , , . i \
z= \lV P+hov
oi
R\\6,
: ) R+xev
0 0 ,,\ c\a4 K
-L: \ = 4\(I J-nl4
xr\ votfo;< &n1ev
b v
J) 5a, d.porta z\ z\u"neut\o ln\ovry;j ."rt" v Rvv,rr. o\'u*\'-J'.;;
,^^.* {**U ' \ V, 6Ka1 l . . . -
\V
A p\i ca',\o LV l^ e\^ n6\\a- \ A v \ 4 \ ^ 1 r + 2 ( l = O
G ( 1 , = \ 2I r = l : 2 r " 4
6 'A p,\i cavtl ., tV ( ov\ IoVob O e'r.(r,*A) - L fon lYg
\ \
Ag\**il" L v ' c' =."":tt ;
L" \ r +?K t I r - l t ) =^!8 t l l r - 2 X I = O
ne.^..." L'r1 .: $]).t.1,t , i - ax [1*-I ' )+AY'\! :-Avr ts.-\J + 44 u < r 2 : - \
\
t
t * A
t O + n S ; v
\r \ .'1... : ,'t (l i C l-- \t\ i ':l . 1\ I T '
. r t- . - r - . " L A ( ' n u \ c \ r \ r -
Vr^b = 4'=)
[\ru4) C"\ c*\ ,,
V = - l e VV
: ) V s = - 6 V
V ' r - J 6= : -12"n V0
T ' = !R'trnc
- -r-L \t - *
*AJ
R+vW
- - \ / RlrcuL2
V
= 4\l-\ V
nCI
* yo-., t' r r F
.
lv '' ,
. \ +i I , v :
K
-l ev
-
' t * \ g* t \
\
)
ba
, l,l Ag\ica^s Lul ^ uto"o l
r [u, + GY) +:,v, - 3"^A = P6K (l.
I -I- *!) V, ( + \ )/{ -.,"vt = oL G 2 I , /- L V , = 2 - n - V , : a v3
Do\ c,..,i\ur "p[i*^do
LV t/\
er\ , WrO.Vr, \O
/qU =Vlv,o, -'Vn - t( ! *Vo,oiO K
V+hor= V1 +. V, - 0 = O: G V
Col*\o c' Voo= 3 V
j
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