DEPARTA DEPARTAMENTO MENTO DE ENERGIA Y MECANICA MECAN ICA CARRERA CARRER A DE INGENIERIA INGENIERI A MECATRONICA
LABORATORIO N° 2 CIRCUITOS CIRCUITOS ELECTRICOS I – NRC 2989
TITULO: DEMOSTRACIÓN DE LAS LEYES DE MAXWELL MEDIANTE UN EXPERIMENTO CASERO
AUTOR: CANGUI LAICA, RICHAR SANTIAGO
DIRECTOR: ING. MENA, PABLO
LATACUNGA
20! CONTENIDO RESUMEN........................................................................................................3
2 PALABRAS CLAVE..........................................................................................3 ABSTRACT.................................................................................. ................... .......... ..........4 .4 KEYWORDS.....................................................................................................4 GLOSARIO DE TÉRMINOS.............................................................................5 CAPITULO I......................................................................................................6 GENERALIDADES...........................................................................................6 1. INTRODUCCIÓN......................................................................................6 2. TÍTULO......................................................................................................6 3. PROBLEMA..............................................................................................6 4. USTI!ICACIÓN DEL PROBLEMA..........................................................6 5. OBETIVOS.............................................................................................." OBETIVO GENERAL#.............................................................................." OBETIVOS ESPECÍ!ICOS....................................................................." 6. $IPÓTESIS#.............................................................................................." ". ALCANCE#................................................................................................." CAPITULO II.....................................................................................................% 1. INTRODUCCIÓN......................................................................................% 2. $ISTORIA DEL ARTE................................................................... ARTE................................................................... ............% ......... ...% 2.1 AMES CLERK MA&WELL.................................................................% 2.2 KARL !RIEDRIC$ GAUSS...............................................................1' 2.3 CARGA ELECTRICA.........................................................................13 3. MARCO TEÓRICO.................................................................................14 C()*+ )(,-/0+....................................................................................14 S+-+0.................................................................................................15 L G(77 *(8( ()*+ )(,-/0+.................................................15 CAPÍTULO III..................................................................................................1" 1. INTRODUCCIÓN....................................................................................1" 2. MATERIALES.......................................................................................... MATERIALES.......................................................................................... 1" C+-7/809-...............................................................................................1: E(;+8(09- - )+/+8 7+-+0.......................................................1: P8+0)0-/+..........................................................................................1: AN
3 2. RECOMENDACIONES#..........................................................................22 3. APORTE#.................................................................................................23 4. BIBLIOGRA!ÍA#..........................................................................................23 ANE&OS.................................................................................. ................... 24
"NDICE DE #IGURAS !0,8( 1# ()7 C8= M(>?........................................................................% !0,8( 2# C(8= !8080@ G(77.................................................................... ..11 !0,8( 3# S+-+0........................................................................................15 !0,8( 4# C()*+ M(,-/0+...........................................................................16
RESUMEN D-/8+ -7/8( 0( +/00(-( (7 +)+ - 7(88++ ( (888( 7 -7(80+ +-+8 ( (*0(09- ( /+8( - ( *8/0( +)+ 7/( 0- - -7/8(7 0(7 (7 F - 7/ *8+/+ (;+8( - )+/+8 7+-+0 ( /0- +)+ (*0(09- -()-/( -( (7 (0+-7
4 M(>? ( ( ,-8(0(( ( G(77 ()*+ )(,-/0+. D8(-/ 7/ >*80)-/+ (-(0(8)+7 ( 0--0( - ()*+ )(,-/0+ *8+0+ *+8 -( (8,( /80( - )+0)0-/+. A)7 - ( *8/0( 7 (-(0(8( (7 0-00+-7 ()*+ /80+ ()*+ )(,-/0+.
PALABRAS CLA$E M(>? S+-+0 L G(77 C()*+ M(,-/0+ C(8,( E/80(
ABSTRACT I- +8 (0 0 (7 ? (7 /@ (88 +*)-/ 8F087 =-+?, + /@ (**0(/0+- + /@+8 0- *8(/0 (- @+? 0/ 0--7 +8 07 7+ /@07 *8+H/ +*7 ( 7+-+0 )+/+8 ?@0@ @(7 /@ -()-/( (**0(/0+- + M(>?7 F(/0+-7 ?@0@ ?(7 ,-8(0 G(77 7 (? )(,-/0 0 .
5 D80-, /@07 >*80)-/ ? (-( /@ 0-- + ( )(,-/0 0 *8+ ; ( )+0-, /80 @(8, . M+8+8 0- *8(/0 /@ 0-0/0+-7 + /80 0 (- )(,-/0 0 ?0 ; (-( .
%EYWORDS M(>? 7+-+0 G(77 (? M(,-/0 0 E/80 @(8,
GLOSARIO DE T&RMINOS M(>?
M(/)/0+ 7+7 F *(-/+ (7 (/8+ (0+-7
-()-/(7 /8+)(,-/07)+.
6 S+-+0
C(F08 07*+70/0+ (*( 8(8 - ()*+
)(,-/0+ 7)()-/ -0+8). L7 G(77
L7 +8)((7 *+8 G(77 *(8( 0-08 - ()*+
/80+ - ()*+ )(,-/0+ - 7*8007 88((7. C()*+ M(,-/0+ D780*09- )(/)/0( (7 0--0(7 (7 +880-/7 /80(7. C(8,( /80( 7;(/9)0(7.
P8+*0( 70( 0-/8-7( (,-(7 *(8/(7
"
CAPITULO I GENERALIDADES . INTRODUCCIÓN E- 7/( *8/0( (;+8(/+80+ 7 (;+89 - )+/+8 7+-+0 *(8( )+7/8(8 -( (7 (0+-7 M(>? ( )07)( F 7 80( (7 7 G(77 *(8( )(,-/07)+. E- 7/ (*/+ 7 *87-/(- +7 +;H/0+7 @0*9/707 ((- F /-8 /8(;(H+ ( + (8,+ 7(88++ )07)+.
2. T"TULO D)+7/8(09- (7 (0+-7 M(>? )0(-/ - >*80)-/+ (78+.
'. PROBLEMA D)+7/8(8 ( (*0(09- *8/0( -( + )7 (0+-7 M(>? +- >*80)-/+ (78+.
(. )USTI#ICACIÓN DEL PROBLEMA E7 -7(80+ +)+ /8+7 *8+70+-(7 - )(/89-0( +-+8 ( (*0(09- ( /+8( - ( 8(0( 7( )(-8( /-8 +-+0)0-/+ -( )(-8( *8/0( -0+-()0-/+ - (*(8(/+ (7 (0+-7 )(/)/0(7 F +)0-(- *(8( 7 -0+-()0-/+.
!. OB)ETI$OS OB)ETI$O GENERAL: C+-7/808 - )+/+8 7+-+0 )0(-/ ( /00(09- )(/80(7 80(;7 *(8( )+7/8(8 ( (09- M(>? *(8( ()*+ )(,-/0+.
%
OB)ETI$OS ESPEC"#ICOS J
I-7/0,(8 ( /+8( ()*+ )(,-/0+.
J
B7(8 +7 )(/80(7 9*/0)+7 *(8( ( +-7/809- )+/+8 7+-+0.
J
I-/00(8 (-(0(8 ( (*0(09- 0@( (09- +- -0+-()0-/+ )+/+8 7+-+0.
*. HIPÓTESIS: L( +-7/809- - )+/+8 7+-+0 ((8( ( 7/0(-/ ( +)*8-8 )H+8 )(-8( ( G(77 *(8( ()*+ )(,-/0+.
+. ALCANCE: 7/0(-/ +-+( -( )(-8( *8/0( (7 (0+-7 M(>?. A )0-(8 7/ (;+8(/+80+ 7/0(-/ 78 (*( 0-/00(8 (7 (0+-7 M(>? (*0(+7 ( ( 8(0( )(7 -+ (+87 )(/)/0+7.
CAPITULO II . INTRODUCCIÓN E- -( (888( 0-,-08( 7 ) 0)*+8/(-/ +-+8 ( (*0(09- (7 (0+-7 M(>? )0(-/ - >*80)-/+ (78+ ( F 7/( )(-8( 7 +,8(8( 8+-+8 +- )(+8 (00( ( 08-0( -/8 7/(7
: (0+-7 ,8(- (*+8/ ;80-(+ *+8 (7 ( ( +09- /-+9,0( (/(.
2. HISTORIA DEL ARTE 2. )AMES CLER% MAXWELL E0);8,+ 1%31JG-(08 R0-+ U-0+ 1%": !70+ ;80/-0+. N(09 - 7-+ -( ()00( 7+7( ( (7 )0( @0H+ -0+ - (;+,(+ E0);8,+. T8(7 ( /)*8(-( )8/ 7 )(8 ( (7( - -8 (;+)0-( J( )07)( +-0( F *+-8( 0- ( 7 0(J 80;09 ( (09;70( - ( E0);8, A() ;(H+ ( //( 7 /( (- C(.
Figura 1: James Clerk Maxwell
C+- /(- 79+ 00707 (+7 0-,879 - ( U-0870( E0);8,+ 1%5' *(79 ( ( U-0870( C();80, +- 7);89 ( /++7 +- 7 >/8(+80-(80( (*(0( *(8( 87+8 *8+;)(7 8(0+-(+7 +- ( 70(. C(/8+ (+7 )7 /(8 7 ,8(9 - 7/( -0870( *8+ /80+8+ ( 7( 7 *(8 +;0,9 ( 8,87(8 ( E7+0( 8--0(8 ( -( *(( *87/0,0+7+ T80-0/ C+, C();80,.
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reatise on Electricity and Magnetism 1%"3 (89 F 7 *80-0*( /(8( +-707/( - H7/00(8 )(/)/0()-/ +-*/+7 70+7 780/+7 @(7/( 7 )+)-/+ +8)( -0()-/ (0/(/0( +)+ (7 7 ( 0-09- /8+)(,-/0( +7 ()*+7 8( --0((7 *+8 M0@( !(8((. C+- 7/ +;H/+ M(>? 0-/8+H+ +-*/+ +-( /8+)(,-/0( F *8)0/ -( 780*09- )(/)/0( ((( ( 0-/8(09- -/8 /800( )(,-/07)+ )0(-/ 77 ;87 (0+-7 F 780; (-/00(- +7 ()*+7 8(7. S /+8( 7,0809 ( *+70;00( ,-8(8
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F
+88+;+89 $0-80@ $8/ - 1%%" +@+ (+7 7*7 ( )8/ M(>? F *+7/80+8)-/ 7*7+ 0-00+ ( 8( ( +)-0(098*0( ( 07/(-0(. A*09 (-0707 7/(7/0+ ( ( 0-/8*8/(09- ( /+8( 0-/0( +7 ,(77 +- ( -+)0-(( -09- 07/80;09- M(>?JB+/)(--
11 F 7/(; ( *8+;(;00( @((8 -( *(8/( +- -( /8)0-(( +0( - - ,(7 0( 00+ -+ 7+)/0+ ( ()*+7 8( >/8-+7. 7/009 (7 @0*9/707 A+,(8+ A)*Q8 )+7/89 ( 8(09- 08/( -/8 ( 07+70( - ,(7 7 /)*8(/8( (;7+/( --09 ( F0*(8/009- ( -8,(. D7;809 ( ;08880-,-0( /)*+8( +7 8*+7 7/0+7 /8(-70+7 7+)/0+7 ( /-70+-7 )-0(7 (;+89 -( /+8( 7(/07(/+80( 7+;8 ( *8*09- 8+)/0( 7(88+(-+ +7 -()-/+7 ( +/+,8(( /80++8. L( 0--0( (7 0(7 M(>? ( )7 ( 70 (; + 7*00(+ ( F - (7 7 ;(7(- )@(7 (7 (8,)-/(0+-7 /(-/+ ( /+8( ( 8(/00( 0-7/0-0(-( +)+ ( )+8-( )-0( -/0( 70,+ &&.
2.2 %ARL #RIEDRICH GAUSS B8-7?0= (/( A)(-0( 1""" J G+/0-,( 0. 1%55 M(/)/0+ 70+ (7/89-+)+ ()-. N(0+ - 7-+ -( ()00( @)0 7 ) /)*8(-( ( K(8 !8080@ G(77 0+ )7/8(7 -( *8+0,0+7( (*(0( *(8( (7 )(/)/0(7 7,- ( -( ( +7 /87 (+7 0-/88)*09 ( 7 *(8 (-+ 7/(;( +*(+ - ( +-/(;00( 7 -,+0+ *(8( 0-0(8 - 88+8 + @(7/( *-/+ 78 8+)-(+ ( F B8-7?0= *+8 77 *8+7+87 ( 7( *80)(80(.
12
Figura 2: Clark Friedrich Gauss
E F *8+*+80+-9 (707/-0( 0-(-08( - 77 7/0+7 7-(80+7 -0870/(80+7 F /9 - ( U-0870( G+/0-,( -/8 1":5 1":%. S /707 +/+8( 1":: 879 7+;8 /+8)( -()-/( ,;8( F 7/(; F /+( (09- (,;8(0( +00-/7 +)*H+7 /0- 7+0+-7 0,()-/ +)*H(7 F G(77 )+7/89. E- 1%'1 G(77 *;09 -( +;8( 7/0-(( ( 0-08 +8)( 070( - ( +-+8)(09- ( )(/)/0( 87/+ 70,+ *(8/0(8)-/ - );0/+ ( /+8( -)8+7 (7 Disuisiciones aritm!ticas -/8 +7 -)8+7+7 @((,+7 (; 7/((8# ( *80)8( *8;( ( ( 80*8+0( (8/0( -( 7+09- (,;8(0( ( *8+;)( 9)+ /8)0-(8 70 - *+,+-+ 8,(8 - (+7 * 78 +-7/80+ )(-8( ,+)/80( 70- 87+8 7 +7 /0)*+7 E07 /8(/()0-/+ >@(7/0+ ( /+8( +7 -)8+7 +-,8-/7 -)8+7+7 87/(+7 +- -)8+7 -0+-7 (80(; +)*H( F +8( ( /8(/(8 - 1%31 780;0-+ )++ >(/+ 7(88+(8 -( /+8( +)*/( 7+;8 +7 )07)+7 ( *(8/08 77 8*87-/(0+-7 - *(-+ > F )(8(8+- *-/+ *(8/0( ( )+8-( /+8( +7 -)8+7 (,;8(0+7.
13 S ()( +)+ )(/)/0+ 809 +-708(;)-/ 7 )07)+ (+ (-+ (*( *808 +- >(/0/ +)*+8/()0-/+ +8;0/( (7/8+0 C87 (07/(+ *+8 *80)8( *++7 )77 (-/7 *(8( + ( )*9 )/++ +7 )-0)+7 (8(+7 7(88+(+ *+8 )07)+ 1":4 (- @+ ( ( ;(7 +)*/(0+-( )+8-(7 @88()0-/(7 7/0)(09- (7/8+-9)0(. E- 1%'" (*/9 *7/+ *8+7+8 (7/8+-+)( - O;78(/+80+ G+/0-,( (8,+ - F *8)(-09 /+( 7 0(. D+7 (+7 )7 /(8 7 *80)8( 7*+7( +- F0- @(;( +-/8(+ )(/80)+-0+ - 1%'5 (09 ( (8 ( ( 7 /88 @0H+ )7 /(8 7 (79 - 7,-(7 -*0(7 /+ /87 @0H+7 )7. E- 7+7 (+7 G(77 )(89 77 0(7 7+;8 ,+)/8( -+ 00(-( 7/+ 7 ( +-7/809- -( ,+)/8( 9,0()-/ +@8-/ F *870-08( *+7/(+ E07 (7 *(8((7 (-F -+ *;09 77 +-70+-7 7 ((-/9 - )7 /80-/( (+7 ( +7 /8(;(H+7 *+7/80+87 L+;(@?7=0 B+(0. A8+8 1%2' +*(+ - ( +88/( /8)0-(09- )(/)/0( ( +8)( /()(+ ,+;+ /88F+ G(77 7(88+9 -)8+7(7 @88()0-/(7 *(8( /8(/()0-/+ +7 (/+7 +;78(0+-(7 -/8 (7 (7 7/(( ( 8( 07/80;09- 88+87 F ( 7 -+);8 +-+0( /();0- +- (*(/0+ 07/80;09- -+8)( F +-7/0/ -+ +7 *0(87 ( 7/(7/0(. O/8+7 87/(+7 (7+0(+7 ( 7 0-/87 *+8 ( ,+70( 7+- ( 0--09- @0+/8+*+ - ()*+ ( )(/)/0( *8( 77 0(7 7+;8 7/0+ (7 (8(/87/0(7 (7 7*8007 8(7 F >*00/((7 - 7 +;8( Disuisitiones generales circa su"er#icies cur$as 1%2% 7-/(8+- (7 ;(77 ( )+8-( ,+)/8( 08-0(. T();0- )809 7 (/-09- -9)-+ )(,-/07)+ F )0-9 +- ( 0-7/((09- *80)8 /,8(+ /80+ 1%33. Í-/0)()-/ 8(0+-(+7 +- 77 0-7/0,(0+-7 7+;8 0@( )(/80( 8+- +7 *80-0*0+7 ( /+8( )(/)/0( *+/-0( F *;09 - 1%4'.
14 O/8(7 8(7 ( 70( F G(77 7/09 8+- ( )-0( ( (7/0( ( (*0(80( ) 7*0()-/ ( 9*/0( 070*0-( 7+;8 ( F *;09 /8(/(+ %n$estigaciones di&"tricas 1%41 - (7 (7 )+7/89 F 707/)( -/7 (F08( 7 70)*8 80; ( -( 7+( -/ +- (7 (8(/87/0(7 (((7. ! /( ( /0)( (*+8/(09- -()-/( K(8 !8080@ G(77 - 0-/0+ ( *8+-0( (-0707 ()*0/ 0-/877 80,+8 /8(/()0-/+ )808+- - 0( (*(/0+ *8-0* +7 )(/)/0+7. .
2.' CARGA ELECTRICA D7 ( A-/0,( G80( 7 +-+ F ( 8+/(8 );(8 +- -( *0 7/( (F08 ( *8+*0( (/8(8 8*+7 0,8+7 /(7 +)+ /8 ++7 *(H( *)(7 *F(7. S 7;80)0-/+ 7 (/80; ( 097++ ,80,+ T(7 M0/+ (. 63:J54" (. C. F0- 009 @( -+7 25'' (+7. E )0+ 0-,7 W00() G0;8/ 154'J16'3 +;789 F (,-+7 )(/80(7 7 +)*+8/(- +)+ );(8 ( 8+/(8+7 F ( (/8(09- F H8- 7 )(-007/( 7+;8 (F08 8*+ (- (-+ -+ 8( 0,8+. C+)+ -+);8 ,80,+ +887*+-0-/ ( );(8 7 =/8+- G0;8/ +)-9 ( /00(8 /8)0-+ el!ctrico *(8( 88087 ( /++ )(/80( F 7 +)*+8/(;( +)+ (F + F +80,0-9 +7 /8)0-+7 electricidad carga el!ctrica. A)7 - +7 7/0+7 G0;8/ 7 * -+-/8(8 ( 08-0(09- +7 -9)-+7 /80+7 )(,-/0+7. E 7;80)0-/+ ( (/8(09- 8*709- )-/+7 ( +-/(8+7 +- )(/80(7 /80+7 7 (/80; ( S/*@- G8(. E *80)8+ - *8+*+-8 ( >07/-0( +7 /0*+7 (8,( 7 C@(87 !( (-F B-H()0!8(-=0- F0- ( 7/0(8 7/+7 -9)-+7 7;809 +)+ ( /800( +7 8*+7 7*7 78 8+/(+7 7 07/80;( - 08/+7 ,(87 +- @(;( )7 (/8(09- *+8 7+ +7 -+)0-9 J.
15 S0- );(8,+ 7++ @(0( )0(+7 70,+ &I& (-+ 7/(7 +;78(0+-7 8+- *(-/((7 +8)()-/ ,8(0(7 ( +7 >*80)-/+7 7+;8 ( /890707 F 8(09 M0@( !(8(( @(0( 1%33 F *8)0/08+- 7;808 ( 8(09- -/8 ( /800( ( )(/80( (+)*((+ ( +)*/( 780*09- +7 -9)-+7 /8+)(,-/0+7 *+8 ()7 C8= M(>?. P+7/80+8)-/ +7 /8(;(H+7 +7*@ +@- T@+)7+- ( 7;808 /89- R+;8/ M00=(- ( )08 7 (8,( 8+- ,8(- (( *(8( +-+8 ( -(/8(( 078/( ( (8,(.
'. MARCO TEÓRICO C-/ -1345/ U- ()*+ )(,-/0+ 7 -( 780*09- )(/)/0( ( 0--0( )(,-/0( (7 +880-/7 /80(7 +7 )(/80(7 )(,-/0+7. E ()*+ )(,-/0+ - (F08 *-/+ 7/ 7*00(+ *+8 +7 (+87 ( 0809- ( )(,-0/ /( +8)( F 7 - ()*+ /+80(. E7*0()-/ ()*+ )(,-/0+ 7 - /+8 (>0( +)+ + 7++7 )+)-/+7 )-0+7 +7 ()*+7 8+/(0+-(7. E ()*+ )(,-/0+ 7 )7 +)-)-/ 0-0+ - /8)0-+7 ( 8( L+8-/ H80( (8,(7 /80(7. C()*+ )(,-/0+ * 88087 ( +7 7*(8(+7 *8+ ) 8(0+-(+7 7);++7 B $. L+7 ()*+7 )(,-/0+7 7+- *8+0+7 *+8 (F08 (8,( /80( )+0)0-/+ )+)-/+ )(,-/0+ 0-/8-7+ (7 *(8/(7 )-/(7 (7+0((7 +- -( *8+*0( -/0( -()-/( 7 7*-. E- ( 8(/00( 7*0( ()*+7 /80+7 )(,-/0+7 7+- +7 (7*/+7 0-/88(0+-(+7 - +;H/+ ()(+ /-7+8 /8+)(,-/0+. L(7 8(7 )(,-/0(7 (- 0-+8)(09- 7+;8 ( (8,( F ( - )(/80( ( /8(7 /+ $(. L( 0-/8(09- +7 ()*+7 )(,-/0+7 07*+70/0+7 /80+7 /(7 +)+ /8(-7+8)(+87 7 7/0(( - ( 070*0-( 080/+7 )(,-/0+7.
16
S/671/47 U- 7+-+0 7 (F08 07*+70/0+ 70+ (*( 8(8 - ()*+ )(,-/0+ 7)()-/ -0+8) 0-/-7+ - 7 0-/80+8 ) ;0 - >/80+8. U- H)*+ /980+ 7 -( ;+;0-( @0+ +-/+8 (07(+ -8+(+ @0+0()-/ +-,0/ 0-0-0/(. E- 7 (7+ 0( ()*+ )(,-/0+ 78( -0+8) - 7 0-/80+8 +)+ +-7-0( (8( 78( -+. E- ( *8/0( -( (*8+>0)(09- 8( ( - solenoide 7 - (();8 (07(+ +-,0/ 0-0/( -8+(+ - +8)( @0 ;+;0-( + - -)8+ 7*08(7 +- - *(7+ (+8 ( (7 -70(7 *+8 F 08( -( +880-/ /80(. C(-+ 7/+ 7 7 ,-8( - ()*+ )(,-/0+ -/8+ ( ;+;0-( /(-/+ )7 -0+8) (-/+ )7 (8,( 7( ( ;+;0-(. L( ;+;0-( +- - -+ (*8+*0(+ 7 +-08/ - - /8+0)-. S /00( - ,8(- )0( *(8( ,-8(8 - ()*+ )(,-/0+ -0+8).
Figura ': (olenoide
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1" 88(( 7( ( 7( 7/( -+ 78)+7 (*(7 -88(8 -( -/ + 7)08+ ()*+ 7/+ >*87( ( 0->07/-0( )+-+*++ )(,-/0+. A -88(8 - 0*++ - -( 7*800 88(( -+ 7( -0 -/8( H+ )(,-/0+ *+8 + /(-/+ ()*+ )(,-/0+ -+ 08, -+ 7( ( 7*800. E-/+-7 ( 08,-0( 7 8+ 6 M(/)/0()-/ 7/+ 7 >*87( (7#
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1%
Figura ): Cam"o Magn!tico
CAP"TULO III . INTRODUCCIÓN D8(-/ 7(88++ 7/ (*/+ *+)+7 -+-/8(8 /((()-/ +7 *8+0)0-/+7 -7(80+7 *(8( ( +-7/809- - )+/+8 7+-+0 (78+ (7 /();0- -( 07/( +- +7 )(/80(7 +-7/809- +7 0-7/8)-/+7 -7(80+7 *(8( ( (;+8(09-.
2. MATERIALES MATERIALES
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22
ANLISIS DEL EXPERIMENTO L(7 (8,(7 - )+0)0-/+ 7)0-07/8((7 *+8 ( ;(/8( ( @+(8 H +- ( )0-( ()0-0+ ,-8(- - ()*+ )(,-/0+ ( 8* ( (+ ,-8(-+ - )+0)0-/+ @(0( ((-/ *+8 ( (09- ( 8( -/8,( -/0(+8 H 8+/( /( )(-8( F ( )0-( ()0-0+ +/( -()-/ (8,(7 ( );+;0-(+ (7 ,-8(-+ - ()*+ )(,-/0+ 7 8*0/ -+ 0+.
23
CAP"TULO I$ . CONCLUSIONES:
U- ()*+ )(,-/0+ 7 ,-8(+ *+8 (7 (8,(7 - )+0)0-/+ 7 *+8 7+ F (-+ -+ @( (8,(7 - )+0)0-/+ ()*+ )(,-/0+ 7 -+ 0,( )(-8( + *(-/+ G(77 - 7 *(8( +7 ()*+7 )(,-/0+7 - ( ( 0 F H+ )(,-/0+ (/87 -( 7*800 88(( 7 0,( ( 8+.
L+7 )(/80(7 9*/0)+7 *(8( ( (;+8(09- - )+/+8 7+- - (();8 +;8 F +-( /800( -( (8(7( 78+ (; 7)(/(+ *(8( );+;0-(+ -( ;(7 )(8( *F+7 /8++7 )(8( *(8( 7H/(8 ( ;(7 +7 )-/+7 - -/0(+8 +)*/(+8 -( )0-( ()0-0+ @88()0-/(7 ;70(7 +-7/809- ( /00(09- 7/(7 (( ( )H+8(8 ( +-7/809- +*/0)0(8 /0)*+ 8F80+ *(8( ( (;+8(09- >*80)-/+.
U- 7+-+0 ,-8( - ()*+ )(,-/0+ /+/()-/ -0+8) 7/+ 7 /+8( *8+ - ( *8(/0( ()*+ )(,-/0+ 8(+ -+ 7 7)()-/ -0+8) *8+ -+7 (9 ( +)*8-8 ( G(77 *(8( ()*+7 )(,-/0+7 ( )07)( F +8)( *(8/ (7 (0+-7 M(>?.
2. RECOMENDACIONES:
P(8( ( +-7/809- )+/+8 7 8+)0-( ( /00(09- (7 @88()0-/(7 (((7 *(8( +*/0)0(8 /0)*+ -7(80+ *(8( ( (;+8(09- >*80)-/+.
E (();8 H -7(80()-/ /0- F 78 - (();8 ,87+ 790+ *(8( F )+/+8 /-,( - )H+8 (,(88 ,08 *8/()-/.
'. APORTE:
E (;+8(/+80+ 8(0(+ )0(-/ ( +-7/809- - )+/+8 7+-+0 )07)+ F 7 - >*80)-/+ (78+ (+ ( 7/0(-/ ( +)*8-8
24 )H+8 -( (7 (0+-7 )(>? (7 /();0- ( 0-/00(8 - F 08-7/(-0(7 +88 7/ -9)-+.
(. BIBLIOGRA#"A: A-+-0))+. 14 M(+ 2'15. *iki"edia. R*8(+ 16 M(+ 2'15 W0=0*0(# @//*#7.?0=0*0(.+8,?0=0C080/+ A-+-0)+. 2' 1' 2'15. +iogra#ias y ,idas. O;/-0+ @//*#???.;0+,8(0(70(7.+);0+,8(0(++@).@/) A-+-0)+. '4 M(8+ 2'15. Circuito Electronicos. R*8(+ 16 M(+ 2'15 C080/+ E/8+-0+7# @//*#???.080/+7/8+-0+7.+8,2''"1'J*8+/+;+(8J/(;/(JJ >*80)-/(0-.@/) A-+-0)+. 12 M(+ 2'15. *iki"edia. R*8(+ 2'15 M(+ 16 W0=0*0(# @//*#7.?0=0*0(.+8,?0=0R707/-0(C3A:/80( A-+-0)+. 7... +iogra#ias y ,idas. O;/-0+ @//*#???.;0+,8(0(70(7.+);0+,8(0())(>?.@/) A-+-0)+. 7... +iogra#ias y ,idas. O;/-0+ @//*#???.;0+,8(0(70(7.+);0+,8(0(,,(77.@/) Circuito Electronicos. 7... O;/-0+
@//*#???.080/+7/8+-0+7.+8,2''"1'J*8+/+;+(8J/(;/(JJ >*80)-/(0-.@/) M+-+,8(0(7. 7... Monogra#ias-com. R*8(+ 13 M(+ 2'15 @//*#???.)+-+,8(0(7.+)/8(;(H+7%2080/+J/80+080/+J /80+.7@/)X0>3(6W) P8+7+8 - L-(. 7... .ro#esor en /0nea- R*8(+ 13 M(+ 2'15 ???.*8+7+8-0-(.)0+ 7+0(C080/+E/80+$07/+80(.@/)
25
ANEXOS
