!"#$%&'( *+,-./%-'(0 12.2/*( 3* -2//%*&.* -2&.%&$'4
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
!"#$%&'( *+,-./%-'(0 12.2/*( 3* -2//%*&.* -2&.%&$'4
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
!"#$%&'( *+,-./%-'(0 12.2/*( 3* -2//%*&.* -2&.%&$'4
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
A2+$-%O&0 'F
!"#$%&'( *+,-./%-'(0 12.2/*( 3* -2//%*&.* -2&.%&$'4
@4 6& 12.2/ *+,-./%-2 -2&*-.'32 *& 3*/%Q'-%O& ' $&' /*3 3* -2//%*&.* -2&.%&$' 3* 7W89> (%*&32 +' /*(%(.*&-%' 3* +' ;2;%&' 3*+ %&3$-.2/ 3* @88 : +' /*(%(.*&-%' 3* +' ;2;%&' 3*+ %&3$-%32 3* 8>< > +' -2//%*&.* ';(2/;%3' 3* +' +%&*' *( 3* ?7 => +'( C,/3%3'( *& *+ B%*//2 1"( +'( 1*-"&%-'( (2& 3* <88E4 A* C%3*0 'F G%;$H'/ *+ 3%'N/'1' 3* -2&*I%2&*(4 ;F S&.*&(%3'3 3* *I-%.'-%O& * %&.*&(%3'3 3*+ %&3$-%324 -F [$*/L' -2&./'*+*-./212./%L4 3F U'( C,/3%3'( *& *+ -2;/*4 *F Z2.*&-%' P.%+ : /*&3%1%*&.24 KF J2//%*&.* *& *+ '//'$*4 NF A% #$*/*12( +%1%.'/ +' -2//%*&.* *& *+ '//'$* ' 578= 3*.*/1%&'/ +' /*(%(.*&-%' #$* 3*;*12( -2+2-'/ (*/%* -2& *+ %&3$-%324
!"#$%&'( *+,-./%-'(0 12.2/*( 3* -2//%*&.* -2&.%&$'4
W4 G* $& 12.2/ (*/%* 3* 77 J9 (* -2&2-*&0 T *I\8>5W] T %\8>7W] +' .*&(%O& 3* '+%1*&.'-%O& *( 7789 : +' %&.*&(%3'3 3* -2//%*&.* #$* ';(2/;* 3* +' +V&*' *( 3* 588 = -$'&32 +' Q*+2-%3'3 &\5788/C14 G*.*/1%&'/0 'F R+ *(#$*1' 3* -2&*I%2&*( ;F R+ /*&3%1%*&.2 3* +' 1"#$%&' -F U'( C,/3%3'( *& *+ -2;/* Z -$ : +'( C,/3%3'( *& *+ B%*//2 : 1*-"&%-'( Z K*^Z1 3F R+ C'/ 12.2/ &21%&'+
!"#$%&'( *+,-./%-'(0 12.2/*( 3* -2//%*&.* -2&.%&$'4
?4 6& 12.2/ *+,-./%-2 3* J4J4 _ ARTSR F (* '+%1*&.' ' 78 9 : -2&($1* 7W = -$'&32 N%/' ' 5<88 /4C414> (%*&32 ($ /*(%(.*&-%' %&.*/&' .2.'+ T % \ 8>5W 4 J'+-$+'0 'F U' K4-4*414 %&3$-%3'4 ;F Z2.*&-%' ';(2/;%3'> C2.*&-%' P.%+ : /*&3%1%*&.2 _-2&(%3*/'/ 3*(C/*-%';+*( +'( C,/3%3'( *& *+ B%*//2 : +'( C,/3%3'( 1*-"&%-'(F4 -F S&.*&(%3'3 *& *+ '//'$*4 3F T*(%(.*&-%' #$* (* 3*;* %&.*/-'+'/ _T 'F C'/' +%1%.'/ +' %&.*&(%3'3 3* '//'$* ' 7 Q*-*( +' %&.*&(%3'3 &21%&'+ _S &F4 *F Z'/ &21%&'+4
!"#$%&'( *+,-./%-'(0 12.2/*( 3* -2//%*&.* -2&.%&$'4
`4 6& 12.2/ *+,-./%-2 3* J4J4 _ ARTSR F '+%1*&.'32 ' 788 9> -2&($1* (%*&32 ($ /*(%(.*&-%' %&.*/&'> T % \ 8>< 4 J'+-$+'0 'F U' K$*/L' -2&./'*+*-./212./%L %&3$-%3'4 ;F Z2.*&-%' ';(2/;%3'> C2.*&-%' P.%+ : /*&3%1%*&.2 _-2&(%3*/'&32 3*(C/*-%';+*( +'( C,/3%3'( *& *+ B%*//2 : +'( C,/3%3'( 1*-"&%-'(F4 -F S&.*&(%3'3 *& *+ '//'$*4 3F T*(%(.*&-%' #$* (* 3*;* %&.*/-'+'/ _T 'F C'/' +%1%.'/ +' %&.*&(%3'3 3* '//'$* ' 7>< Q*-*( +' %&.*&(%3'3 &21%&'+ _S &F4 *F Z'/ 12.2/4
!"#$%&'( *+,-./%-'(0 12.2/*( 3* -2//%*&.* -2&.%&$'4
D4 6& 12.2/ 3* -2//%*&.* -2&.%&$' : *I-%.'-%O& *& 3*/%Q'-%O&> .%*&* $&' C2.*&-%' 3* W8 J94 A* (';* #$* +'( C,/3%3'( .2.'+*( 3*+ 12.2/ (2& *+ ?a 3* +' C2.*&-%' .2.'+ ';(2/;%3' C2/ *+ 12.2/4 A% +' .*&(%O& 3* '+%1*&.'-%O& *( 3* W88 9> +' /*(%(.*&-%' 3* +2( 3*Q'&'32( 3* +' *I-%.'-%O& *( 3* W88 : +' /*(%(.*&-%' 3*+ %&3$-%32 3* 8>5 > -'+-$+'/0 'F S&.*&(%3'3 ';(2/;%3' 3* +' +%&*'4 ;F S&.*&(%3'3 3* *I-%.'-%O&4 -F S&.*&(%3'3 3*+ %&3$-%324 3F Z'/ &21%&'+ (% *+ 12.2/ N%/' ' 5W88 /C14
!"#$%&'( *+,-./%-'(0 12.2/*( 3* -2//%*&.* -2&.%&$'4
Y4 6& 12.2/ *+,-./%-2 3* J4J4 -2& *I-%.'-%O& (*/%*> (* '+%1*&.' ' 7@ 9 : -2&($1* (%*&32 ($ /*(%(.*&-%' %&.*/&'> T % \ 8>5W 4 J'+-$+'/0 'F U' K$*/L' -2&./'*+*-./212./%L %&3$-%3'4 ;F Z2.*&-%' ';(2/;%3'> C2.*&-%' P.%+ : /*&3%1%*&.2 _3*(C/*-%';+*( +'( C,/3%3'( *& *+ [* : +'( 1*-"&%-'(F4 -F S&.*&(%3'3 *& *+ '//'$*4 3F T*(%(.*&-%' #$* (* 3*;* %&.*/-'+'/ _T 'F C'/' +%1%.'/ +' %&.*&(%3'3 3* '//'$* ' 5>W Q*-*( +' &21%&'+4 *F Z'/ 12.2/ &21%&'+4
!"#$%&'( *+,-./%-'(0 12.2/*( 3* -2//%*&.* -2&.%&$'4
584 6& 12.2/ 3* -2//%*&.* -2&.%&$' : *I-%.'-%O& *& 3*/%Q'-%O&> .%*&* $&' C2.*&-%' 3* 7@ J94 A* (';* #$* +'( C,/3%3'( 3*+ 12.2/ (2& *+ W a 3* +' C2.*&-%' .2.'+ ';(2/;%3' C2/ *+ 12.2/4 A% +' .*&(%O& 3* '+%1*&.'-%O& *( 3* @88 9> +' /*(%(.*&-%' 3* +2( 3*Q'&'32( 3* +' *I-%.'-%O& *( 3* @88 : +' /*(%(.*&-%' 3*+ %&3$-%32 3* 8>77 > -'+-$+'/0 'F S&.*&(%3'3 ';(2/;%3' 3* +' +%&*'4 ;F S&.*&(%3'3 3* *I-%.'-%O&4 -F S&.*&(%3'3 3*+ %&3$-%324 3F [$*/L' -2&./'*+*-./212./%L %&3$-%3'4 *F Z'/ &21%&'+ (% *+ 12.2/ N%/' ' 5@88 /C14
!"#$%&'( *+,-./%-'(0 12.2/*( 3* -2//%*&.* -2&.%&$'4
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
!"#$%&'( *+,-./%-'(0 12.2/*( 3* -2//%*&.* -2&.%&$'4
574 G* $& 12.2/ 3* -2//%*&.* -2&.%&$'> -2&*I%O& (*/%* (* -2&2-*&0 T *I-%.'-%O& \8>78 : T %&3$-%32 \ 8><8 > +' .*&(%O& 3* '+%1*&.'-%O& *( 3* 778 9 : +' %&.*&(%3'3 3* -2//%*&.* #$* ';(2/;* *( 3* 558 = -$'&32 N%/' ' 5W88 /4C414 A* C%3*0 'F R(#$*1' 3* -2&*I%O&4 ;F Z,/3%3'( *& *+ -2;/* : /*&3%1%*&.2 3*+ 12.2/ _+'( C,/3%3'( *& *+ B%*//2 : +'( 1*-"&%-'( ($1'& 5W8 EF4 -F Z'/ 12.2/ &21%&'+4
!"#$%&'( *+,-./%-'(0 12.2/*( 3* -2//%*&.* -2&.%&$'4
5<4 6& 12.2/ *+,-./%-2 3* J4J4 : *I-%.'-%O& *& (*/%*> (* '+%1*&.' ' 758 9 : -2&($1* <@ = -$'&32 N%/' ' 5588 /4C414> (%*&32 +' /*(%(.*&-%' 3*+ %&3$-%32 T % \ 8>5W > : +' /*(%(.*&-%' 3* +2( 3*Q'&'32( 3* +' *I-%.'-%O&> T * \ 8> +' C2.*&-%' P.%+ : *+ /*&3%1%*&.2 _(* -2&(%3*/'& 3*(C/*-%';+*( Z[* : Z1F4 3F U' %&.*&(%3'3 *& *+ '//'$*4 *F U' /*(%(.*&-%' #$* (* 3*;* -2&*-.'/ *& (*/%* -2& *+ %&3$-%32> T ' > C'/' +%1%.'/ +' %&.*&(%3'3 *& *+ '//'$* ' 5>W Q*-*( +' &21%&'+4 KF R+ C'/ 12.2/ &21%&'+4
!"#$%&'( *+,-./%-'(0 12.2/*( 3* -2//%*&.* -2&.%&$'4
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
!"#$%&'( *+,-./%-'(0 12.2/*( 3* -2//%*&.* -2&.%&$'4
5W4 6& 12.2/ 3* JJ 3* *I-%.'-%O& *& 3*/%Q'-%O& #$* (* -2&*-.' 7889 C/*(*&.' +'( (%N$%*&.*( -'/'-.*/V(.%-'(0 U' /*(%(.*&-%' 3*+ 3*Q'&'32 3* *I-%.'-%O& *( 788 > +' 3*+ %&3$-%32 8>W8> +' C2.*&-%' P.%+ *( WXE> N%/' ' 7788 /C1 : *+ /*&3%1%*&.2 *( 3*+ D8a4 G*.*/1%&'0 'F U' %&.*&(%3'3 ';(2/;%3' 3* +' +%&*'> %&.*&(%3'3 3* *I-%.'-%O& * %&.*&(%3'3 3*+ %&3$-%324 ;F U' K$*/L' -2&./'*+*-./212./%L -F U' %&.*&(%3'3 3* '//'$* 3F U' /*(%(.*&-%' 3* '//'$* C'/' #$* %&.*&(%3'3 *& *+ 121*&.2 3*+ '//'$* (*' 7>W Q*-*( +' &21%&'+
!"# %& '()(* +,-.)*/.( 0+ 11 )/+&+ 2&3 4()+&./3 5)/, 0+ 6 78 9 2& *+&0/'/+&)( 0+, :;<# =+ >3?+ @2+ ,3> 4-*0/03> A.2 >(& /B23,+> 3 ,3> A C+D' E4-*0/03> +& +, F/+**( 'G> ,3> '+.G&/.3>H# =/ ,3 )+&>/I& 0+ 3,/'+&)3./I& +> 0+ JKK LM 0+)+*'/&3*N 3H O&)+&>/030 @2+ 3?>(*?+ +, '()(*# ?H A()+&./3 4+*0/03# .H A-*0/03> +& +, F/+**( 'G> 4-*0/03> '+.G&/.3> E,3> 0(> P2&)3>H# 0H A()+&./3 +,+.)*('3B&-)/.3 E4()+&./3 +,-.)*/.3 /&)+*&3H# 3H 7888 w P ab 7???>?` w 8>`W
I
P ab 7???>?` ?>?` @88 V
?H
P PERDIDA Pab P ÚTIL ???>?`>?` W .H
P Cu _ P Fe P m F ???>?` w P Cu P Fe P m _ según el enunciadoF
P Fe P m <<<><< w
0H
Pe Pab P Cu 7???>?` <<<><< 7<<<><< w
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
U E b R Ia 8 R Ia U 57V < R Ia @ ?H W& .(&0/./(&+> &('/&3,+>N
U E b R Ia E b U I R 57V 5 A < YV _3 *+>/>)+&./3 )/+&+ 2& \3,(* .(&>)3&)+ .3,.2,30( +& +, 343*)30( 3H 0+ `#
!a# %& 4+@2+Q( '()(* 0+ ,3?(*3)(*/( 0+ .(**/+&)+ .(&)/&23 .(& +R./)3./I& +& >+*/+ )/+&+ ,3> >/B2/+&)+> .3*3.)+*[>)/.3>N b+&>/I& 0+ 3,/'+&)3./I&N %^ 6J L O&)+&>/030 3?>(*?/03 0+ ,3 *+0 O3?>^ JS Y+>/>)+&./3 .(&P2&)3 0+ ,(> 0+\3&30(> /&02.)(* + /&02./0(N Y/&0DY+R.^KM" L+,(./030 0+ B/*(N &^ `KKK *4' 3H c/?2P3 +, +>@2+'3 +,-.)*/.( 9 0+)+*'/&3 +, \3,(* 0+ ,3 *+>/>)+&./3 0+, *+I>)3)( 0+ 3**3&@2+ 43*3 @2+ ,3 /&)+&>/030 +& 3**3&@2+ +>)- ,/'/)303 3 a S# ?H S 4,+&3 .3*B3 .3,.2,3 ,3 U.+'M ,3 4()+&./3 3?>(*?/03 9 ,3> 4-*0/03> 0+, .(?*+# .H d?)-& +, *+&0/'/+&)( 0+, '()(* >3?/+&0( @2+ ,3> 4-*0/03> '+.G&/.3> 'G> ,3> 0+, F/+**( >(& 2& 6K< 0+ ,3> )()3,+> 9 +, 43* '()(* 5)/,# 3H
W& +, 3**3&@2+ ,3 U.+' +> &2,3 0+ U(*'3 @2+N
Iarr
U U Iarr _ Ri T* xcF Ra Iarr _ Ri T* xcF Ra
c+ U(*'3 @2+N
Ra
U Iarr _ Ri T* xc F 7@ D 8>? 7>@ Iarr D
?H S 4,+&3 .3*B3 &( 3.)53 +, *+I>)3)( 0+ 3**3&@2+ 9 ,3 U.+' &( +> &2,3M 4(* )3&)(N
E b U I _ Ri T* xc F 7@V _8>? @ AF 75>?V c+ U(*'3 @2+N
P abs U I 7@V @ A Y?W _3> 4-*0/03> 0+, .(?*+ +>)G& 0303> 4(* N
P Cu _ Rind T* xcF I 7 8>? _ @ AF 7 Y>?W .H _3 4()+&./3 5)/, +>)G 0303 4(* A 2^A+/eAC+D'^ WXOe AC+D'M 4(* , @2+ 0+?+'(> +>)/'3* ,3> 4-*0/03> 0+, F/+**( 'G> ,3 '+.G&/.3>M 43*3 +,,(N
P tot P Cu P Fe m P Cu 8>7 P tot P tot f 4(* )3&)(N
P U E b I P Fe m D?>@W 7>@W D@W c+ U(*'3 @2+ +, *+&0/'/+&)( \3,+N
Pu D@W 588 588 D`>Wa Pabs Y?W
W, 43* '()(* +>)G 030( 4(*N
M
P u
D@W 8>7?`@ N m <888 7 ?8
P Cu 8>D
57W P Fe m 8>7 P tot 7>@W
!g# c+ 2& '()(* >+*/+ 0+ 66 1L >+ .(&(.+&N Y+R^KM!;h Y/^KM6;h ,3 )+&>/I& 0+ 3,/'+&)3./I& +> 66KL 9 ,3 /&)+&>/030 0+ .(**/+&)+ @2+ 3?>(*?+ 0+ ,3 ,[&+3 +> 0+ !KK SM .23&0( ,3 \+,(./030 &^!6KK*4'# c+)+*'/&3*N 3H W, +>@2+'3 0+ .(&+R/(&+> ?H W, *+&0/'/+&)( 0+ ,3 'G@2/&3 .H _3> A.2 9 ,3> AU+DA' 0H W, 43* '()(* &('/&3,# 3H
?H
P u P ab
77CV 4`
5?5`8W 5CV V 4 I 778V 4588 A 77888W P u 5?5`8W 8>`Wa P ab 77888W
.H =3?+'(> @2+ ,3 A3?^A2DA4h 0+>4+P3&0(N A4^66KKKie!"!:Ki^;a`Ki S, >+* 2&3 .(&+R/I& +& >+*/+ \3'(> 3 .3,.2,3* ,3> 4-*0/03> +& +, .(?*+ )()3,+>N A.2^Y)#O)6^EKM!;DKM6;H#!KK6 S^JKKKi S, >+* ,3 A4^A.2DAU+DA' 0+>4+P3&0(N AU+DA'^A4eA.2^;a`KieJKKKi^!a`Ki 0H M
P u
5?5`8W 57D>?` N 4m 5788 rev47 rad 45 1%& 5 1%& 45rev4?8 s
6K# %& '()(* 0+ .(**/+&)+ .(&)/&23 .(&+R/I& >+*/+ 0+ 4()+&./3 5)/, !MJ 1LM +>)G 3,/'+&)30( .(& 6KK LM >/+&0( ,3 *+>/>)+&./3 0+, 0+\3&30( 0+, /&02.)(* 0+ "Ma M 9 ,3 0+, /&02./0( 0+ !M` M >+ F3 '+0/0( ,3 U2+*V3 .(&)*3+,+.)*('()*/V /&02./03 *+>2,)3&0( 0+ !6J L# c+)+*'/&3*N 3H W>@2+'3 0+ .(&+R/(&+> 0+, '()(*# ?H O&)+&>/030 @2+ 43>3 4(* .303 2&3 0+ ,3> ?(?/&3># .H A()+&./3 3?>(*?/03 0H A+*0/03> +& +, .(?*+ 9 4()+&./3 +,+.)*('3B&-)/.3 E4()+&./3 +,-.)*/.3 /&)+*&3H# +H A+*0/03> +& +, F/+**( 'G> ,3> '+.G&/.3> EAC+D'H 9 *+&0/'/+&)(#
=(,2./I&N 3H
?H
P ÚTIL 5>@CV
`
58<8>@8W
U I _ Rexc Rind F E b I
U E b 788V 57@V Y>D 5><
.H
Pabs UI 788 V Y>
Pérdidas en el cobre 0 P Cu I 7 Rexc I 7 Rind I 7 _ Rexc Rind F _Y>D 5><F `5
Pérdidas en el hierro más las mecánicas 0 P Fe m P ei P ÚTIL 55?@8W 5<@8W 8>W@ W@>Y5a P abs 5D`?W