49196352 Electrotecnia Solucionario Electrotecnia Paraninfo New

7/26/2019 49196352 Electrotecnia Solucionario Electrotecnia Paraninfo New

1/93

Electrotecnia

SOLUCIONARIO

Pablo Alcalde San Miguel

ITES-PARANINFO 1


2/93

Solucionario: Electrotecnia

Unidad de contenido 1

1.6

Q =18, !1"18elec#$one% & ',( !1"18=(

C # =) *in ! '" +)" =1+" %

I =Q

#=1+"(

=1)" A

) ITES-

PARANINFO


3/93



2.3

I =

R=1,

"=","( A

P =I =1, ! ","( =","+ .2.4

=R ! I =)) ! ,/ =1),+

2.5

R =

I=)("

)=11

P =I =)(" ! ) =)'" .

2.9

R =lLl=R ! S=","' ! ",=",")8! **) & *

S L 1

Re%i%#i0idad ue %eg2n la% #abla% coincide con la del alu*inio3

2.10

L 1""R

cob$e =lS=","1/ ' =",)8(L 1""

Ralu*inio =lS=",")8 1" =",)8 Su $e%i%#encia e% a4$o5i*ada*en#e igual3

2.11

R =lL

SS=lRL

=","'11

=",(1 **)

2.12

La %ecci6n del 7ilo de cob$e %abiendo %u di*e#$o e% igual a9

s =! $) =! :",)&);) =","+ **)

R =lL

L=R ! S

=(+,' ! ","+

=1"" *S l ","1/

ITES-PARANINFO (


4/93


2.13

R # =R " :1+#< ; = [:1+",""( ! :8" - )";]=',1/

2.14

R # =R"+1," =' +1," ='',"

R# '',"

R # =R" :1+#< ; #< = -1 & = -1 & ",""+ =+ < C

R" '

+ ITES-PARANINFO


5/93



3.1

P =I =1"" ! ",/ =/ .=

=

1""=

R I ",/1((,((

3.2

P = ) = P ! R = /" ! / =)(/ R

I =

R=)(/

/=(,1' A

3.3

I =P

=(

))"3"""

=1(,' A

La $e%i%#encia del calen#ado$ ue 4e$*anece con%#an#e e% igual a9

R =

I=1(,'))"

=1',)

La 4o#encia 4a$a 1) la 4ode*o% calcula$ a%=9

P = ) =1))

='+, .R 1',)

3.4

I =P

=()("

3+"=1 A

3.5

=

P=

""=

I + A 1)

R =

I=1)

+=(1,)

R =lL

SL=R

l! S

=(1,)

",8! ",

=1, *ITES-PARANINFO


6/93


3.6

I =P

=1

1)3"""

=8 A

Re =lL

S =",")8)

1,!"

=1,8'

P4L =R ! I) =1,8'!8) =11 >.

3.7

I =P

=))("

3""=1",8/ A

R =

I=1",8/)("

=)1,1'

E =P ! #=), >. ! :(" ! );7=1" >.7

3.8

P =(C ! /(' =)3)"8 .

I =P

=)3)"8

(8"=,8 AE =P ! #=),) >. ! :) ! (" ! 8;7=13"' >.7

?a%#o =13"' >.7 !1' 4#% =13'8' 4#%

' ITES-PARANINFO


7/93



4.3

Q =",)+ P # =",)+ ! )3""" :) ! (3'""; =(3+'3""" cal

4.4

Q =* c # =/3""" !1! :" -1"; =(3"""3""" cal

Q =",)+ E E =",)+Q

=(3"""3"""",)+ =1)3""3""" @ulio%

E =P ! ## =E

P=1)3""3""

(3"" =(3/1% 1 7o$a

4.5

Q =* c # =+"3""" !1! : -1); =13/)"3""" cal

Q =",)+ E E =",)+

Q

=13/)"3"""

",)+ =/31''3''/ @ulio%

E =P ! # P =E

#=/31''3''/

1,!(3'""=13()/ .

Po#encia #e6$ica nece%a$ia 4a$a calen#a$ %6lo el agua :Po#encia 2#il; =13()/ .

Po#encia #o#al nece%i#ada 4a$a calen#a$ el agua +la cuba :Po#encia #o#al; =13"" .

P 13()/=P

u 1""= 1"" =88,+/ 13""T

La 4o#encia $e%#an#e %e 7a 4e$dido o u#iliBado en calen#a$ la $e%i%#encia, la cuba, e#c3

4.8=

P=

'3"""=

I )' A )("

Con%ul#ando en la #abla +3) 4a$a ) 5 PC :Conduc#o$e% ai%lado% en #ubo% e*4o#$ado% en 4a$ede% ai%lan#e%

Colu*na (, #ene*o% ue 9 S =' **): I*53ad*i%ible=("

A; =SI=

)''=+,(( A&**)

4.9

Con%ul#ando en la #abla +3) 4a$a ) 5 PC :Cable% *ul#iconduc#o$e% di$ec#a*en#e %ob$e la 4a$ed;

Colu*na ', #ene*o% ue 9 S =+ **): I*53 ad*i%ible=("

A; =SI=

)'+=',A&**)

ITES-


8/93

PARANINFO /


9/93


4.10

I =P

=+)("

3+""=1,1(A

Con%ul#ando en la #abla +3) 4a$a ) 5 PC :Conduc#o$e% ai%lado% en #ubo% e*4o#$ado% en 4a$ede% ai%lan#e%;

Colu*na (, #ene*o% ue 9 S =+ **) : I*53ad*i%ible =)( A;

Sin e*ba$go, el RET no% indica ue 4a$a e%#e #i4o de in%#alacione% la %ecci6n debe %e$ co*o *=ni*o ' **)

4.11

I =P

=)"

)("!1""

=8,/ A

0 =1"")("

( =',

S =l) L ! I

=","1/ !) ! / ! 8,/

=(,) **) Secci6n co*e$cial =+ **)

0 ',Con%ul#ando en la #abla +3) 4a$a ) 5 PC :Cable% *ul#iconduc#o$e% al ai$e% lib$e;

Colu*na 8, #ene*o% ue 9 S =+ **) : I*53ad*i%ible =(+ A;

4.12=P

=) ! +3"""

+)" !1""

+ !13""

=

I +(,/ A +""

0 =1""+""+=1'

S =l) L ! I

=","1/ !) ! // ! +(,/=/ **) Secci6n co*e$cial =1" **)

0 1'Con%ul#ando en la #abla +3) 4a$a ) 5 PC :Cable% *ul#iconduc#o$e% en #ubo% e*4o#$ado% en 4a$ede%

ai%lan#e%; Colu*na ), #ene*o% ue 9 S =1" **): I*53ad*i%ible=(/ A;

Co*o e%#a co$$ien#e e% inDe$io$ a la no*inal de la in%#alaci6n, la %oluci6n %e$ %elecciona$ un conduc#o$ de1'

**)ue ad*i#e una co$$ien#e de + A3

8 ITES-PARANINFO


10/93



5.3=P

=)3"""

=

I A +""

El calib$e del ele*en#o de 4$o#ecci6n debe$=a %e$ de ' A o %u4e$io$3

5.4

Ci$cui#o de 4un#o% de ilu*inaci6n

P = ! I =)(" !1" =)3("" .

Ci$cui#o de #o*a% de co$$ien#e u%o gene$al

D$igo$=Dico P = ! I =)(" ! 1' =(3'8" .

Ci$cui#o de cocina 7o$no P

= ! I =)(" ! ) =3/" .

Ci$cui#o de la0ado$a, la0a0ailla% #G$*o

elGc#$ico P = ! I =)(" ! )" =+3'"" .

Ci$cui#o de #o*a% de co$$ien#e de cua$#o% de baHo

cocina P = ! I =)(" !1' =(3'8" .

ITES-PARANINFO


11/93



6.1

R T =R1 +R ) +R ( =)"" +1+" +1"" =++"

I =

=))"=", AR T ++"

1 =R1 I =)"" ! ", =1""

) =R ) I =1+" ! ", =/"

( =R ( I =1"" ! ", ="

P1 =1! I =1"" ! ", =" .

P) =) ! I =/" ! ", = ( .

P( =( ! I =" ! ", = ) .

PT = ! I =))" ! ", =11" .

6.2

I = ) = =1 A

R )

R T =R1 +R ) +R ( =1" + +' =)1

=R T I =)1!1 =)1

6.3

La $e%i%#encia de la bobina del elec#$oi*n e%9

L 1"

Re =lS =","1/ ",/=(,)(

S =$ ) =! ",) =",/ **)

La $e%i%#encia #o#al del conun#o Do$*ado 4o$ la bobina *% la $e%i%#encia li*i#ado$a conec#ada en%e$ie e% igual a9

1)R

T =I =",(=(+,)R T =R e +R 5 R 5 =R T - R e =(+,) - (,)( =(1

6.4

) ))")

R1 =P1

="" =',8

) ))")

R) =P)

=/"='+,

R T =R1 +R ) =',8 +'+, =1'1,( 1" ITES-PARANINFO


12/93


Al %o*e#e$ a e%#e conun#o en %e$ie a una #en%i6n de ))" , #end$e*o% ue9

I =

=))" =1,(' ART 1'1,(

1=R1 I =',8 !1,(' = 1(1,'

) =R ) I ='+, !1,(' = 8/,/)

P1 =1I =1(1,' !1,(' =1/ .

P) =) I =8/,/) !1,(' =11 .

6.5

P$i*e$o calcula*o% la co$$ien#e9

I =P

=1"

=1,11 A

La ca=da de #en%i6n en la $e%i%#encia li*i#ado$a e%9

=)+ - =1 1

R = I =1,11=1(,

P = I =1 !1,11 =1',/ .

6.6

1 1R T = 1 + 1 + 1

=1+1+1=)

R1 R ) R ( ' + 1)

IT = = 1) =' AR T )

I1 =

=1)

=) AR1 '

I) =

=1)

=( AR ) +

I( =

=1)

=1 AR ( 1)

PT = IT =1) ! ' =/) .

ITES-PARANINFO 11


13/93


6.7

PT =) ++" +'" +1"" =)) .

P ))

IT =T =))"=1,") A

R T=

=

))"

=)1 IT 1,")

6.8

R T =R1 ! R )

R1 +R )

( = 1) ! R) R ) =+

1) +R )

6.9

R 13""" R

T =n


14/93


Pa$a la 4o%ici6n :1; del con*u#ado$ lo% ))" de la ali*en#aci6n uedan a4licado% al conun#o

Do$*ado 4o$ la% $e%i%#encia% en %e$ie R1, R) R(, ue de%a$$ollan un #o#al de 13""" .3

) ))")

RT:(;

=P( =13"""=+8,+

R1

=

R

T:(; - R ) - R ( =+8,+ -1',1( - 8,"/ =)+,)

6.13

Reduci*o% el ci$cui#o 7a%#a encon#$a$ un eui0alen#e con una %ola

$e%i%#encia3 La% $e%i%#encia% eui0alen#e% la% 7e*o% calculado a%=9

R1+ =R 1 R +

=1" ! +"

=8 R1 +R+ 1" ++"

R1+) =R1+ +R ) =8 +)" =)8

R1+) =

R1+) ! R = )8 ! '" =1 R

1+) +R )8 +'"R1+)( =R1+) +R( =1 +(" =+

RT = R1+)( ! R ' = + ! '" =)/ R

1+)( +R' + +'"IT =

=

)""=/,+ AR

T )/

PT = IT =)"" ! /,+ =13+8" .

6.14

P$i*e$o *a$ca*o% 4un#o% co$$ien#e% en el ci$cui#o $educi*o% el ci$cui#o 7a%#a encon#$a$ un

eui0a-len#e con una %ola $e%i%#encia, #al co*o %e *ue%#$a en la% Digu$a% '31 a '3+3

I) R(J ("

IAI1 R1J 1" C -

IAI1 R1J 1" R(+J ','/ C -

R+J +" 1""

KI( 1""

K

I+ R)J )" I+ R)J )"

Figu$a '31 Figu$a '3)

I AI1 R1(+J 1','/ C -1""

K

IRTJ

R)J )" A - C

I+1""

K

Figu$a '3( Figu$a '3+

ITES-PARANINFO 1(


15/93


La% $e%i%#encia% eui0alen#e% la% 7e*o% calculado a%=9

R ! R (" ! +"

R(+ =( +

= =1/,1

R(+

R + ("+

+"R1(+ =R1+R(+ =1" +1/,1 =)/,1

RT =R1(+ ! R) = )/,1! )"

=11, R

1(+ +R) )/,1 +)"En el ci$cui#o de la Digu$a '3+9

1""I = AC = =8,/ A

RT 11,

En el ci$cui#o de la Digu$a '3(9

1""I1 = AC = =(,/ A

R1(+ )/,1

1""I+ = AC = = A

R) )"

En el ci$cui#o de la Digu$a '3)9

A =R1! I1 =1" ! (,/ =(/

C =R(+ ! I1=1/,1! (,/ ='(,(

En el ci$cui#o de la Digu$a '319 '(,(

I) = C = =),1 A

R( (" '(,(

I( = C = =1,' AR

+ +"En la #abla '31 %i#ua*o% el 0alo$ de la #en%i6n co$$ien#e de cada $e%i%#encia3 La 4o#encia de cada una la

calcula*o% a4licando la e54$e%i6n9 P J I

R1 R) R( R+I:A; (,/ ),1 1,'

:0; (/ 1"" '(,( '(,(

P:.; 1(/ "" 1(+ 1"1

Tabla '311+ ITES-PARANINFO


16/93



7.1

ibua*o% el ci$cui#o con la% ca=da% de #en%i6n, la% D3e3*3 de lo% gene$ado$e% a4lica*o% la% lee% de>i$c77oDD3

A

) I(

I(

I1 I)

I1 1 I)M1 M)

1) 1" I(

1"I(

Figu$a/31

I +I =I1 ) (

1) - I1 +1I) - ="

-1I - )I -1"I ="

) ( (

Re%ol0iendo el %i%#e*a de ecuacione% 4o$cualuie$a de lo% *G#odo% conocido% ob#ene*o%el %iguien#e $e%ul#ado9

I1 = 1,) A

I) =",/ A

I( = ", A

7.2P$ocede$e*o% de la *i%*a Do$*a ue en elee$cicio an#e$io$3


17/93

A I(' I(

I1 I)

+ I1 M1 8 I) M) 1 I(

1" )"

Figu$a /3)

ITES-PARANINFO 1


18/93


I1 +I) =I(

1" - +I1+8I)=" )"

- 8I)- 'I(-1I(="

El $e%ul#ado ue %e ob#iene de e%#e %i%#e*a de ecuacione%9

I1 =),'/ A

I) =","8/ A

I( =),/' A

La #en%i6n en la ca$ga de 8 9

=RI) =8 ! ","8/ =",/

7.3

P$i*e$o con0e$#i$e*o% a #$ingulo la e%#$ella Do$*ada en el ci$cui#o, #al co*o %e *ue%#$a en la Digu$a /3(3

1"

Rb18

Ra

Rc

18

'

Figu$a /3(

Co*o en e%#e ca%o la% $e%i%#encia% %on iguale%9

' ! ' +' ! ' +'

! ' '

Ra =R b =Rc =

1' ITES-PARANINFO

=18


19/93


Seguida*en#e $educi$e*o% el ci$cui#o 7a%#a con%egui$ una %ola $e%i%#encia, #al co*o %e *ue%#$an en la%Digu$a% /3( a /3/3

1" 1"

Rb ' 18

Rd +, 18 Ra

RaRc

18

18 Re +,

'

Figu$a /3( Figu$a /3+

1" 1"

Ra 18 RD 1'RTRg '

Figu$a /3 Figu$a /3' Figu$a /3/

La% $e%i%#encia% eui0alen#e% la% ob#ene*o% a%=9

=18 ! '

=

R

d18+'+,

=18 ! '

=

R

e18+'+,

RD =+, ++, = =

18 ! =

R

g18+'

RT =1" +' =1'

7.4

Se 4$ocede e5ac#a*en#e igual ue en el ee$cicio an#e$io$3 T$an%Do$*a*o% la e%#$ella Do$*ada 4o$ la% $e-%i%#encia% de 1" 3

Ra =R b =Rc =1" !1" +1" !1" +1" !1"

=(" 1"

ITES-PARANINFO 1/


20/93


En la% Digu$a% /3 a /31) %e $educe el ci$cui#o 7a%#a con%egui$ una %ola $e%i%#encia3

("

Ra1

AA

(" Rb RbRc

(" 1

(" (" ("

18

18

Figu$a /38 Figu$a /3

A A

Rb (" 1 ("

18

18

Figu$a /31" Figu$a /311A

)"

18

Figu$a /31)

7.5

P$i*e$o calcula*o% la $e%i%#encia de T70enin co$#oci$cui#ando la% Duen#e% de ali*en#aci6n :Digu$a /31(;3

A RT7

R1 R)

)"

Figu$a /31(

R1 R ) uedan conec#ada% en 4a$alelo9

R! R )" !

RT7 =1 )

= =+

R1 +R ) )" +

18 ITES-PARANINFO


21/93


La #en%i6n de T70enin e% la ue a4a$ece en#$e lo% #e$*inale% A :A; %eg2n %e *ue%#$a en la Digu$a /31+3

I

E1A E)

A

" 1+"

)" I I

Figu$a /31+

Si a4lica*o% la %egunda le de >i$c77oDD al ci$cui#o de la Digu$a

/31+9 1+" - " - I - )"I ="

I =1+"+-)""=) A

Pa$a a0e$igua$ la #en%i6n Aa4lica*o% o#$a 0eB e%#a le 4e$o a la *alla Do$*ada 4o$ E1, R1 A9

1+" - A - )"I ="

A=1+" - )"I =1+" - )" ! ) =1""

T7=A=1""

El ci$cui#o eui0alen#e de T70enin ueda$=a a%= :Digu$a /31;9

IL1 RT7 A

+

T7 (,) L RL

Figu$a /31

Pa$a RL1J 1"" 1""

IL1 =T7

= =",' ART7 +RL1 + +1""

L1=IL1! R L1=",' !1"" =,'

1 Pa$a RL)J ""

IL)=+1""+""=",18 A

L)="" ! ",18 =


22/93

ITES-PARANINFO 1


23/93


1 Pa$a RL( J 1"

IL(=+1""

+1"=/,1+ A

L(=1" ! /,1+ =/1,+

2 Pa$a RL+ J ( >

IL+=++1""(3"""=","(( A

L+=(3""" ! ","(( =,8

)" ITES-PARANINFO


24/93


UNIDAD DE CONTENIDO 8

8.6

I =

P=1)

)"=1,'/ A

Q =I ! # # =Q

I=111"

,'/=',8/7

8.7

ET=E =1" ! ) =)"

$T=$ =1" ! ",1) =1,)

a; Ten%i6n en bo$ne% en 0ac=o J ET =)"

E )"

b; I =$T +TR=1,)+8=),18 A

b =ET - $TI =)" -1,) ! ),18 =1/,+

c; PT =ETI =)" ! ),18 =+(,' .

Pu =bI =1/,+ ! ),18 =(/, .

P (/,=Pu 1""=+(,'1""=8',

T

E )"

d;I

cc

=

$T

=

1,)=1','/ A

T

e; b =ET - $TI =)" -1,) ! ) =1/,'

8.8

ET =E =)

$T =n$=

",1)1" =","1)

a;

b 0ac=o =ET =)E )

b;I =$T +TR

=","1)+8=",) A

b =ET - $TI =) - ","1) ! ",) =1,

c; PT =ETI =) ! ",) =", .

ITES-PARANINFO )1


25/93


Pu =bI =1, ! ",) =",+/ .

P ",+/=Pu 1""= ", 1""=,+

T

E )

d;I

cc =$T =","1)=1'' AT

e; b =ET - $TI =) - ","1) ! ) =1,8

8.9

ET =E =1" ! ), =)

$T =$ =1" ! ","1 =",1

a;E - ) -1/,

b =E - $TII= $T b

=

",1 =" A

1/,R = I

b =" =",(P =b ! I =1/, ! " =8/ .

b; ) )

Pu =PT - PP =EI - $I =), ! " - ","1 ! " =8/, .

)) ITES-PARANINFO


26/93



9.6

Q =C !

Q1 =13""" !1"-' ! + =",""+ C

Q) =13""" !1"-'! )" =",") C

Q( =13""" !1"-' !1"" =",1C

9.7

d = !S

= , ! " ! ) !1" + =","""+ * =",+ **

+ ! ! !1" C + ! ! !1" 1!1"-

9.8

=R ! C =1"" !1"" F !1"-'=

","1S # = ! = ! ","1 ="," S

9.12

C ! C ' ! (C

T =C1 +C) ='+(=)F1 )

QT = ! CT =1"" ! ) !1"-' =) !1"-+ C

Q1=Q) =QT =) !1"-+ C

Q ) !1"-+1= 1 = =((,((

' !1"-'C1

) = Q )= ) !1"-+

='','/

C) (

9.13

CT =C1+C) = +1 =)" F

QT = ! CT =1"" ! )" !1"-' =","") C

Q1 = ! C1 =1"" ! !1"-' =",""" C

Q) = ! C) =1"" !1 !1"-' =",""1 C

ITES-PARANINFO )(


27/93



10.5

=o !$ =+ !!1"-/ !1""=1,) !1"-+

$

=

o &*

10.6

H =N I=1"" !1 =13""" A&*L 1" !1"-)

Con%ul#ando en la #abla 1"31 4a$a un n2cleo de 7ie$$o Do$ado %e con%iguen 1, ( Te%la% de

induccci6n cuando %o*e#e*o% al n2cleo a la acci6n de una in#en%idad de ca*4o de13""" A&*3

=

S= = ! S =1,( ! ( !1"-+ =(, !1"-+.b =",( *.b

==13"""1,(=1,( !1"-( &* $ =

=

1,( !1"-(=13"(o+ !

!1"-/

F =N ! I =1"" !1 =1"" A

=F=(,1""!1"-+ =)'3+1"A&.b

10.7

===+1,)!1"-( =("" A

=S = = ! S =1,) ! !1"-+

=' !1"-+ .b =",' *.b

H =N

LI=L

F

F= ! L=("" ! )

!1"-) =/ A

10.8

L =) +) +)+) =1"" c*

=N I

=""

!1" =3"""

A&*L 1

"


28/93

"!1"-

)

Con%ul#ando en la #abla 1"31 4a$a un n2cleo de c7a4a de %ilicio %e con%iguen 1, Te%la% de

induccci6n cuando %o*e#e*o% al n2cleo a la acci6n de una in#en%idad de ca*4o de 3""" A&*3

)+ ITES-PARANINFO


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10.9

=

= + !1"( =1,' T) !1"-+S

Con%ul#ando en la #abla 1"31 4a$a un n2cleo de c7a4a de %ilicio %e nece%i#an 3""" A&* 4a$a4$oduci$ 1, Te%la% de induccci6n

=N II = ! L =3""" !1"" !1"-)=18 A

L N ""

10.10

Con%ul#ando en la #abla 1"31 4a$a un n2cleo de c7a4a *agnG#ica no$*al %e nece%i#an '/ A&*

4a$a 4$oduci$ 1,1Te%la% de inducci6n3

La longi#ud *edia del ci$cui#o Do$*ado 4o$ la c7a4a e%9

LFe =1+ +' +1+ +' =+" c*Fue$Ba *agne#o*o#$iB 4a$a e%#ablece$ e%#e ni0el de inducci6n en el 7ie$$o9

FFe = Fe!LFe ='/ ! +" !1"-) =)/" A

La in#en%idad de ca*4o nece%a$ia a4lica$ 4a$a el #$a*o de ai$e e%9

=

= 1,1 =8/3() A&*

+ ! !1"-/

"

Longi#ud del #$a*o de ai$e9 ",) K ",) J ",+ c*

Fue$Ba *agne#o*o#$iB 4a$a e%#ablece$ el ni0el de inducci6n en el ai$e del en#$e7ie$$o9

Fai$e =ai$e!Lai$e =8/3() ! ",+ !1"-)

=(3"1 A

La Due$Ba *agne#o*o#$iB #o#al %e$9

F =FFe +Fai$e =)/" +(3"1 =(3//1 A

N =F

I=(3//1

) =188, e%4i$a%

10.11

F =+"3""" ! ) ! S =+"3""" !1,()! + !1"-+ =)/ >4

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30/93


10.12

La %u4e$Dicie de a#$acci6n de un 4olo e% 91!1 =1c*)

ic7a %u4e$Dicie 4a$a lo% do% 4olo% %e$ en#once% 9 ) !1 =) c*)

F =+"3""" ! ) ! S = F = ) =", T+"3""" ! S +"3""" ! ) !1"

-+

Con%ul#ando en la #abla 1"31 4a$a un n2cleo de Do$ado %e nece%i#an 1'" A&* 4a$a

4$oduci$ ", Te%la% de induccci6n3

La longi#ud *edia del ci$cui#o Do$*ado 4o$ la c7a4a

e%9 LFe=( +( +( +( =1) c*

Fue$Ba *agne#o*o#$iB 4a$a e%#ablece$ el ni0el de inducci6n en el ai$e del

en#$e7ie$$o9 FFe=Fe!LFe=1'" !1) !1"

-)

=1,) ALa in#en%idad de ca*4o nece%a$ia a4lica$ 4a$a el #$a*o de ai$e e%9

=

= ", =(/388/ A&*

+ ! !1"-/"

Longi#ud del #$a*o de ai$e9 ",( K ",( J ",' c*

Fuee$Ba *agne#o*o#$iB 4a$a e%#ablece$ el ni0el de inducci6n en el ai$e del

en#$e7ie$$o9 Fai$e=ai$e!Lai$e=(/388/ ! ",' !1"-)=)3(8/ A

La Due$Ba *agne#o*o#$iB #o#al %e$9

F =FFe+Fai$e=1,) +)3(8/ =)3+"' A

I =NF

=1)33"""

+"'=1,+ e%4i$a%

)' ITES-PARANINFO


31/93



11.7

einducida =N

=("" !("

!1"-( =+"

# )"!1"

-(

11.8

e = L 0 =", !1 !1"-)! =",/1

11.9

einducida =L I#L=

e !I#=))"+" !1" -(=",8

11.10

A4licando la $egla de la *ano iBuie$da %e ob%e$0a ue el conduc#o$ %e de%4laBa 7acia la

iBuie$da F = L I =1,' ! " !1"-)! ) =)" N

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12.8

*5

= ) !

eDicaB

=

) !1"" =1+1 12.9

D =1

= 1 =)"" B !1"-(T

12.10

*5 = ) ! eDicaB = ) ! ))"3""" =(1131)/

12.11

*5 =n< di0 > = di0 !1" &di0 ="

T =n< di0 > =1" di0 ! *%&di0 =" *%

"

eDicaB =

*5

= )=( )

D =1

= 1 =)" B" !1"-(T

:#=*%;

=*5

Sen #

=" ! Sen

:+" !

!1"-(

;

=" Sen

('< =)

=) !! D=) !! )"=+"

12.12

=ngulo

#=13""

'"! )

=1/$adiane%&%egundo

=) ! ! D D =)=

1/)=)B


33/93

)8 ITES-PARANINFO


34/93


12.13

=)D =) ! ! " =1""

=*5 Sen #

:1*%; =(11! Sen :1"" !!1!1"-(;='

:(*%; =(11! Sen :1"" !! ( !1"-(

;=)) :*%; =(11! Sen :1"" !! !1"-(;=(11

:'*%; =(11! Sen :1"" !! ' !1"-(;=)'

:1"*%; =(11! Sen :1"" !!1" !1"-(;="

:11*%; =(11! Sen :1"" !!11!1"-(;=- '

:1(*%; =(11! Sen :1"" !!1( !1"-(;=- ))

:)"*%; =(11! Sen :1"" !! )" !1"-(;="

(11 )' ))

' 1" 11 1( )"

" # :*%;

1 ( '-'

-))

(11

Figu$a 1)31

12.14

=*5 Sen Sen=Sen"("


35/93

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36/93


12.16

=

=))"

=

I +,+ A R "

P =R ! I) =" ! +,+) ='8 .

E =P ! # =",'8 >. ! 87 =/,/ >.7

12.17

L =)DL =) ! ! '" ! ",+ =11

I = =(8" =), AL 11

QL =L I) =11! ),) =+( AR

E =P ! # =">. ! 87 =" >.7

12.18

C =1

=1

=/,' )DC ) ! !1"" ! )"" !1"

-'

I =

= " =',( A

C /,'

QC =C I) =/,' ! ',() =(1' AR

(" ITES-PARANINFO


37/93



13.5

X L =)DL=) !! " ! )" !1"-(

=/8,

Z = R) +)L = ") +/8,) =(

I =

=))"

(=),+ A

Co%=R

="

(=",+ =/,C

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40/93


L J +)+

C

J /),1 < I J ',/ A

R J '/,

C J )1+,/

Figu$a 1(3(

13.8

= =P =)3""" =P I Co% Co% I 1) ! )) ",/(

13.9

=a$co% ",' =(,1( A :4o#encia in%#alada;

FP =Co%=SP=)+)/33)"/81=",88P )+3)"/

IT = Co%T

=))" ! ",88=1) A :calib$e de au#o*#ico>1'" A;

d ;

0 =1""))"

( =','

S =l) L ! I ! co%

=","1/ !) !1) !1) ! ",88=/" **) Secci6n co*e$cial =/" **)

0 ','Con%ul#ando en la #abla +3) 4a$a ) 5 PC :Cable% *ul#iconduc#o$e% al ai$e lib$e; Colu*na

8, #ene*o% ue 9 S =/" **): I*53 ad*i%ible=)") A;

e;

=a$co% ",88 =)8,( )" A;(;

P =) =))") ='8 .R "co%=1="< #ag =#ag "< ="

Q( =P #ag='8 ! " =" AR

I = Co%P

=))"'8

!1=+,+ A :calib$e de Du%ible F >' A;+;

co%=",/ =+,/< #ag =#ag +,/< =1,")

Q+ =P #ag=(3") !1,") =(3"8' AR

I = Co%

P

=))"(3")

!",/=1,' A :calib$e de Du%ible F'

>)" A;Po#encia% #o#ale%9

PT =P =:/ !1""; +:1"" ! +"; +'8 +(3") =83'( .

QT =Q =" +13(/ +" +(3"8' =3")( AR

ST = PT) +QT

)= 83'() +3")() =1"3"+" A =1" >A

P 83'(

FP =Co%T =ST

=1"3"+"=",8'TP 83'(

IT = Co%T

=))" ! ",8'=+' A :calib$e de Du%ible F1 >" A;

ITES-PARANINFO (


50/93


c;

0 =1""))"

) =+,+

S =l) L ! I ! co%

=","1/ !) !1) ! +' ! ",8'=(8 **) Secci6n co*e$cial =" **)

0 +,+

Con%ul#ando en la #abla +3) 4a$a ) 5 PC :Cable% *ul#iconduc#o$e% en #ubo%; Colu*na +,

#ene*o% ue 9 S =" **): I

*53 ad*i%ible =11/ A;

d ;

=a$co% ",8' =(",'8 =+")"

di0A

=)"

+"=',) A&di0

La *edida 4a$a ( di0i%ione%, e%9

( di0 ! ',) A&di0 J )18,/ A

16.15

)"I = = =",""+ A

R 3"""

Ten%i6n en la $e%i%#encia adicional9

S = - =13""" - )" =8"

8"RS = S = =)+3"""

I ",""+

Con%#an#e %in $e%i%#encia adicional9=

)" =

> 1"" di0 ",) &di0

Con%#an#e con $e%i%#encia adicional9ITES-PARANINFO '1


77/93


>S =11""

3"""di0

=1" &di0

Medida %in $e%i%#encia adicional9

)) di0 ! ",) &di0 =+,+

Medida con $e%i%#encia adicional9

)) di0 !1"&di0 =))"

16.16

Selecciona$e*o% 4a$a la *edida un #$an%Do$*ado$ de #en%i6n de $elaci6n9 113"""&11" 3

Su $elaci6n de #$an%Do$*aci6n e%9

* =

1

=113"""

=1"")11"La con%#an#e de e%cala del 0ol#=*e#$o con #$an%Do$*ado$ e%9

> =11

"3"""

di0

=)"

+"=))" &di0

La *edida 4a$a + di0i%ione%, e%9

+ di0 ! ))" &di0 J 3""

') ITES-PARANINFO


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17.12

=)3"" l*

=

EDicacia lu*ino%a :Dluo$e%cen#e; '), l*&. +" .

EDicacia lu*ino%a :incande%cen#e; =""

+".l*

=1), l*&.

ITES-

PARANINFO '(


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18.8

* = N 1 = 3"""=1"

N) ""

))"* =

1 ) =*1 =1" =)) 0

18.9)

E1=+,++ D N1 *5 =+,++ ! (" ! '" ! ",""+ =(/( E

) =+,++ D N) *5 =+,++ !13/" ! '" ! ",""+ =138'+,8

* = N 1= ("

=",)N) 13/"

18.10

I1 =1 co%

P=(8"

13""!",'=',8 A

I) =) co%P=1)/13""!",'=1,' A

(8"

* =1 =1)/=()

18.11

* = = 1"3""" =)

1

(8)

PFe =P" =Lec#u$a del 0a#=*e#$o en 0ac=o =)" .

I"=Lec#u$a del a*4e$=*e#$o en 0ac=o =",1 A

18.12

S 1""3"""I

1n=

n

=

'3""" =1','/ A1S 1""3"""

I)n=n

= =+( A)(")

Pcu =PCC =Lec#u$a del 0a#=*e#$o en co$#oci$cui#o =13/1 .

'+ ITES-PARANINFO


80/93


P 13/1Co%

cc =ccccI1n =)" !1','/=",(8 )"

ucc =cc 1""='3"""1""=+,1/

1nu

Rcc =u cc co% cc=+,1/ ! ",(8 =1,8

u cc =u cc %en cc =+,1/ ! %en '/,'/< =(,8' )"

cc =Icc =1','/=1

1nR

cc =cc co% cc=1 ! ",(8 =,/

cc =cc %en cc=1 ! %en '/,'/< =1(, La% 4G$dida% cuando el #$an%Do$*ado$ #$abaa a 4a$#e% de la 4o#encia no*inal9

I =( I =(

+!1','/ =1), A

1:(&+; + 1n

Pcu =Rcc I)1:(&+; =,/ !1),) =81 .

18.13

=URccco% +Ucc

%en =(,/ ! ",8 +),(

! %en (',8/ =+,(+

=1"")("

! +,(+

=1"

La #en%i6n en bo$ne% del %ecunda$io a 4lena ca$ga %e$en#once%9

) =E) - =)(" -1" =))"

La #en%i6n en bo$ne% del %ecunda$io 4a$a una ca$ga de )>A9

=) >A

=

C 1"" >A 1& +

1& + =C=+,

+(+

=1,"

=1"")("

!1," =),1


81/93

):1&+; =E) - =)(" - ),1 =))/,

In#en%idade% de co$#oci$cui#o en a*bo% de0anado%9

ITES-PARANINFO '


82/93


S 1""3"""I

1n =n=

)3""" =" A1

S 1""3"""I

)n =n = =+ A))")

ucc

=

u )Rcc +u )cc = (,/) +),() =+,(' I "

Icc1 =u1n 1"" =+,('1"" =131+/ A

cc

I +

Icc) =u)n 1"" =+,('1"" =1"3+(' A

cc

18.14

S co%

"3""" ! ",8/

=S co% +PFe +PCu 1""="3""" ! ",8/ +1""+(""1""=

18.15

S co% 1"3""" ! ",8

=

S co% +PFe +PCu1"" =1"3""" ! ",8 +"+('"1""=

S 1"3"""I1n =n = =) A =In#en%idad 4o$ el 4$i*a$io en el en%ao de co$#oci$cui#o(8

1

P ('"

Co%cc=

ccccI1n=1' ! )=",

1'u cc =

cc 1"" =(81"" =+,") 1n

uRcc =u cc co% cc =+,") ! ", =(,')

ucc =u cc %en cc=+,") ! %en ),8+< =1,/

=U Rccco% +U cc%en =(,') ! ",8+1,/ ! %en (1,/< =+ =1""

)("!

+ =,)

La #en%i6n en bo$ne% del %ecunda$io a 4lena ca$ga %e$en#once%9

) =E ) - =)(" - ,) =))",8


83/93

'' ITES-PARANINFO


84/93


18.19

1)3"""*% =

1% =(8 =))% (

1)3"""

*c =1c = =("(8)cPFe =P" =Lec#u$a de 4o#encia en 0ac=o =+""" .

I" =Lec#u$a del a*4e$=*e#$o en 0ac=o =",) A

18.20

I1n =

S

=

)"3"""

=8,) A =In#en%idad 4o$ el 4$i*a$io en el en%ao de co$#oci$cui#on

( 1 ( !1/3""

Pcu =PCC =Lec#u$a de 4o#encia en co$#oci$cui#o =+3"1" .Co%cc =

Pcc = +3"1" =",+

( cc

I1n ( ! /"" ! 8,)

/""u

cc =cc1""=1/3""

1""=+ 1n

uRcc = u cc co% cc =+ ! ",+ =1,'

ucc =u cc %en cc =+ ! %en '',+)< =(,'/

=URccco% +Ucc%en

=1,' ! ",8 +(,'/ !

%en (1,/ =(,) =

1""(8

! (,) =1( La #en%i6n en bo$ne% del %ecunda$io a 4lena ca$ga %e$en#once%9

) =E) - =(8 -1( =(8

S co% )"3""" ! ",8

=

S co% +PFe +PCu1"" =)"3""" ! ",8 +'/++3"1"1""=/,8

Pa$a de#e$*ina$ la co$$ien#e de co$#oci$cui#o 4o$ el4$i*a$io, 4$i*e$o a0e$igua*o% la in#en%idad 4o$ cada unade la% Da%e% del bobinado del #$an%Do$*ado$ conec#ado ene%#$ella9


85/93

I 8,)I

1nD =1nL

( = =+,/'(I +,/'

Icc1D =u1nL 1""= 1"" =11 A+

cc

ITES-PARANINFO '/


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20.9

- )U ++" - )I

i:a; = b $i e =",(+",1 =/( AAl inco$4o$a$ una $e%i%#encia adicional en %e$ie con el inducido %ua0iBa*o% el a$$anue9

Ii:a; =

- )Ue =

++" - )=8" A$b +$ :",( +",1; +

i a

20.10

Ii:a; =

- )U

e =

11" - )

=('" Ab $i ",(

El 0alo$ 67*ico del $eo%#a#o de a$$anue lo calcula*o% a%=9

P 1"3"""

In =n

= =1 A11"La co$$ien#e de a$$anue debe$ li*i#a$%e 7a%#a ) 0ece% la

no*inal9 Ii:a;=) ! 1 =18) A

Ii:a; = - )U e $a = b - )Ue - Ii:a; $i = 11" - ) -18) ! ",( =",) b

+$a II:a; 18)$i

20.11

P ! /('

P =u 1"" = 1"" =+31( .8

In =P

=+31(

11"=(8 A

20.12

$ =

)=1

)c*

=/, c*

C =F ! $ F =C

=

1"" =13((( N

/, !1"-)

$'8 ITES-PARANINFO


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20.13

=)n=)! /3)("=// $ad&%'" '"

P )" ! /('

C =u = =1,+ N*//

20.14

=)'"n=)!13+''" =1(,+ $ad&%

$ =

)=)

)c*

=1), c*

C =F ! $ =13""" !1), !1"-)

=1) N*

C =P

u Pu =C=1) !1(,+=131// .

Pu =131/// /(' =)' C =1,) >.

ITES-PARANINFO '


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21.3

D =4 '"n

=1(3

'"'""

='" B

21.4

D =4 '"n

4 ='"

n! D

='"

+"!'"

=8 4a$e% de 4olo%

21.5

D =4 '"n

n ='"

4! D

='"

(!'"

=13)"" $343*3

/" ITES-PARANINFO


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22.5

D =4 '"n4 =

'"n! D

='"

/"!"

=+ 4a$e% de 4olo%

22.6

D =4 '"n

n ='"

4! D

='"

+!'"

="" $343*3

22.7

Pa$a un *o#o$ a " B a 13+) $343* le co$$e%4onde una 0elocidad %=nc$ona de 13"" $343*

S = n % - n 1"" = 13"" -13+) 1"" = n% 13""

22.8

Po#encia 2#il del *o#o$9

P P '3"""

=Pu1""Pu =1""

=1"" 1 =3+'" .elocidad %=nc$ona9

n ='"

4! D='"(

!'"=13)"" $343*3

elocidad del $o#o$9

S =n % - n 1"" n =n % - S n % =13)"" - ) !13)"" =131/' $343*3

n% 1""1""

elocidad angula$9

=)'"n=)!131/''" =1)( $ad&%

Pa$ 2#il del $o#o$9

ITES-PARANINFO /1


90/93


P3+'"

C =u = =++,+ N*1)(

22.9

S = n % - n 1"" = (3""" - )38) 1"" =",' n

% (3"""In#en%idad a +&+9

P ))"3"""

P =u 1"" = 1"" =)()3"'8 .+,8

IL =P

=)()3"'8

=() A( C Co% ( ! (8" ! ",

In#en%idad a (&+9

P ))"3""" ! ( +P = u 1""= 1"" =1/+3+1 .

+,'

IL = P = 1/+3+1 =("+ A( C Co% ( ! (8" ! ",8/

In#en%idad a )&+9

P ))"3""" ! ) +P = u 1""= 1"" =11/3'+/ .

(,

IL = P = 11/3'+/ =)"1 A( C Co% ( ! (8" ! ",8

In#en%idad en el a$$anue9

Ia =',) ! In =',) ! (" =)3+18 A

Pa$e% del *o#o$9

=)n=)! )38)=(1) $ad&%'" '"P

))"3"""C = u = =/" N*n (1)

Ca =1, ! Cn =1, ! /" =13"8 N*

C*5 =),+ ! Cn =),+ ! /" =13') N*/) ITES-PARANINFO


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23.6

= I C = 8 =",8

IE 1""

I = IE - IC =1"" - 8 =) *A

= IC = 8 =+I)

ITES-PARANINFO /(


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24.6

R$

K 1)

Ien#" A V 1" A /+1C

- 1) %al

" - )"

Figu$a )+31

)"

%al =R$ Ien# R$ = %al = =) MIen# 1" !1"

-'A

)"

> =1"A

=) &A

Pa$a una *edida del 0ol#=*e#$o de la co$$ien#e *edida e% igual a9

I =)&

A=), A

24.7

)A =

%alida =",""'=(((

en#$ada

I ",")"Ai = %alida = =1"

Ien#$ada ","")

AP =A Ai =((( !1" =(3(((

24.9

D = 1 = 1 =1++ B

)RC )N ) ! ! ) !1"(!18 !1"- ) ! (

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PF #o .o$d
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49196352 Electrotecnia Solucionario Electrotecnia Paraninfo New

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