TAREA No.2_CIRCUITOS ELÉCTRICOS I alejandro betancur.docx

PUNTO 1. La Ley de tensiones de Kirchhof indica que V - VR1 - VR2 = 0 . ). +. ,.

VTVT-V1-V2V1-V2-V!=0 V!=0 "0-#-V2-$-% "0-#-V2-$-%&=0 &=0 !!'%=V2 !(V=V2 VTVT-V1-V2V1-V2-V!V!-V"=0 V"=0 %*-10-20%*-10-20-V!-1*= V!-1*=0 0 20V=V! VT-V1VT-V1-V2-V!V2-V!-V"=0 V"=0 VT-*-1%-%-(=0 VT-*-1%-%-(=0 !%V=VT LL 1 -VT'V'V#'V"' VT'V'V#'V"'V2'V1= V2'V1=0 0 -20'V'*'%' -20'V'*'%'2'!=0 2'!=0 V=201%="V LL 2 -VT'V'V#'V%'V*'V!'V2'V1=0 -20'"'*'1'V*'2'2'!=0 V*=20-1#=!V

PUNTO 2. La Ley de corrientes de Kirchhof indica que /T  /1  /2 = 0 1 Ley de Kirchhof3 La su4a de 5as intensidades que se diri6en diri 6en hacia un nodo es i6ua5 a 5a su4a de 5as 5 as corrientes que a7andonan dicho nodo. . /1'/2= /1'/2=/! /! 2'!=/! 2'!=/! * =/! ). /1'/2=/!'/ /1'/2=/!'/" " 10'/2=!'( /2=12-10 /2=12-10 /2=2 +. 8/ /* 89 ,/R/:9 ,/R/:9 L NO,O 98 /1'/2'/*= /1'/2'/*=/!'/" /!'/" %''/*=*'10 %''/*=*'10 /*=1*/*=1*1"=1 8/ /* 8L9 ,9L NO,O 98 /1'/2=/!'/"'/* %'=*'10'/* 1"-1*=/*=1 PUNTO !. a. R tota5 tota5 o equi;a5 equi;a5ent ente e $1K=10 $1K=1000 00 Oh4& Oh4& RT=R1'R2'R!'R" RT=10K'".#K'2K'!.!K=20K RT=10K'".#K'2K'!.!K=20K 8ON 20000 Oh4 7. /R1 /R1 /R2 /R2 /R! y /R" Rn /T>Rn VR1=/T>R1=0.001*>10000 Oh4=1.*4>10K=1*V VR2=1.*4>".#K=#.0*V VR!=1.*4>2K=!V VR"=1.*4>!.!?=".(*V c. PR1 PR2 PR2 PR! PR! PR" y P tota5 tota5 que su4inistra su4inistra 5a 5a @uente. @uente. PR1=VR1>/RT=1*V>1.*4=22.*4A PR2=#.0*V>1.*4=10.*#*4A PR!=!V>1.*4=".*4A PR"=".(*V>1.*4=#."2*4A

d. +o4Brue7e que 5a Potencia Tota5 es i6ua5 a 5a su4a de 5as Potencias de cada resistencia PRT=VT/T PRT=!0V>1.*4="*4A PRT=PR1'PR2'PR!'PR"=22.*'10.*#*'".*'#."2*="*C PUNTO ". a. La tensiDn de 5a @uente V1 V)=V2'V!="0V V1-V)-V"=0 V1=V)'V"="0'*="*V 7. +a5cu5e R! R" R tota5 /R1=20V>0.02 = 0."A

PR2=20>0.0"=0.A PR!=20>0.0=1.%A PR"=20>0.02=0."A PRT=VT>/T=20>.01%=!.2A e. +o4Brue7e que 5a Potencia Tota5 es i6ua5 a 5a su4a de 5as Potencias de cada resistencia PRT=PR1'PR2'PR!'PR"=0."'0.'1.%'0."=!.2A O PRT=VT>/T=20>.01%=!.2A PUNTO %. a. TensiDn de 5a @uente /T=VTRT=/T>RT=VT=1*4>1.%? Oh4= 2"; 7. 95 ;a5or de 5a resistencia R2 /R2=VR2=V/R2=2"V!4=? c. / tota5 /R1 /R2 /R!. /R1=VR1=2""?=%4 /R!=2""K=%4 /RT=/R1'/R2'/R!=1*4=%4'/R2'%4=1*4-124=/R2=!4 d. PR1 PR2 PR! y P tota5 su4inistrada Bor 5a @uente. PR1=VRT>/R1=2">%4=1""4A PR2=VRT>/R2=2">!4=#24A PR!=VRT>/R!=2">%4=1""4A PT=PR1'PR2'PR!=!%04A e. +o4Brue7e que 5a Potencia Tota5 es i6ua5 a 5a su4a de 5as Potencias de cada resistencia. PT=PR1'PR2'PR!=!%04A o PRT=VT>/T=2">1*4=!%04A PUNTO #. a. / tota5 RT=R1'R2'R!'R"=2K'*K'2K'1K=10K  /T= VRT= 2"V10K=2."4 7. VR1 VR2 VR! y VR". VR1=/T>R1=2.">2=".V VR2=/T>R2=2.">*K=12V VR!=2">2=".V

VR"=2">1=2."V VT=VR1'VR2'VR!'VR"=".'12'".'2."=2"V PUNTO . a. R equi;a5ente RT=R1'R2'R!'R"=1000'200'2000'1000="200 Oh4 o ".2K  7. / tota5 /R1=VR1=1*1000=0.01*  /R2=1*200=0.0#*  /R!=1*2000=0.00#*  /R"=1*1000=0.01*  /T=VRT=1*".2?=!.*4 c. VR1 VR2 VR! y VR". VR1=/T>R1=!.*4>1?=!.*; VR2=!.*>0.2K=0.#V VR!=!.*>2K=#V VR"=!.*>1K=!.*V d. PR1 PR2 PR! PR" y P tota5 su4inistrada Bor 5a @uente. PR1=VR1>/RT=!.*V>!.*4=12.2*4A Pr2=0.#>!.*=2."*4A Pr!=#>!.*=2".*4A Pr"=!.*>!.*=12.2*4A e. +o4Brue7e que 5a Potencia Tota5 es i6ua5 a 5a su4a de 5as Potencias de cada resistencia Prt=1*>!.*=*2.*4A Prt=Br1'Br2'Br!'Br"=12.2*'2."*'2".*'12.2*=*1."*4A PUNTO (. a. R equi;a5ente RT=1$1R1'1R2'1R!'1R"'1R*'1R%&=1 $1*00'1*00'11000'11000'11000'11000& =1$0.002'0.002'0.001'0.001'0.001'0.001&=10.00=12* Oh4 7. /R1 /R2 /R! /R" /R* y /R%. /R1=VTR1=20*00=0.0"  /R2=20*00=0.0" 

/R!=201000=0.02  /R"=201000=0.02  /R*=201000=0.02  /R%=201000=0.02  /T=0.0"'0.0"'0.02'0.02'0.02'0.02=0.1%  c. VR1 VR2 VR! VR" VR* y VR%. 89GHN L L9F ,/+9 IU9 9L VOLT:9 98 /GUL 9N TO,8 L8 R98/8T9N+/8 20V. d. PR1 PR2 PR! PR" PR* y PR% y P tota5 su4inistrada Bor 5a @uente. PR1=VRT>/R1=20>0.0"=0.4C Pr2=20>0.0"=0.4C Pr!=20>0.02=0."4C Pr"=20>0.02=0."4C Pr*=20>0.02=0."4C Pr%=20>0.02=0."4C Pt=0.'0.'0."'0."'0."'0."=!.24C e. +o4Brue7e que 5a Potencia Tota5 es i6ua5 a 5a su4a de 5as Potencias de cada resistenci Pt=0.'0.'0."'0."'0."'0."=!.24C Pt=20>0.1%=!.24C PUNTO 10. a. R equi;a5ente. RT=1$1R1'1R2'1R!'1R"'1R*'1R%'1R#&=1 $1*00'11000'11000'11000'11000'12000'11*00&=1 $0.002'0.001'0.001'0.001'0.001'0.001'0.000%%&=10.00#%%=1!0.** Oh4 7. /R1 /R2 /R! /R" /R* /R% y /R#. /R1=VTR1=20*00=0.0"  /R2=201000=0.02  /R!=201000=0.02  /R"=201000=0.02  /R*=201000=0.02  /R%=202000=0.01  /R#=201*00=0.01! 

/t=0.0"'0.02'0.02'0.02'0.02'0.01'0.01!= 0.1"!  c. VR1 VR2 VR! VR" VR* VR% y VR#. VR1=/T>R1=0.1"!>*00=#1.* Vr2=0.1"!>1000=1"! Vr!=0.1"!>1000=1"! Vr"=0.1"!>1000=1"! Vr*=0.1"!>1000=1"! Vr%=0.1"!>2000=2% Vr#=0.1"!>1*00=21".* d. PR1 PR2 PR! PR" PR* PR% y PR#.y P tota5 su4inistrada Bor 5a @uente. PR1=VRT>/R1=20>0.0"=0.4C Pr2=20>0.02=0."4C Pr!=20>0.02=0."4C Pr"=20>0.02=0."4C Pr*=20>0.02=0."4C Pr%=20>0.01=0.24C Pr#=20>0.01!=0.2%4C e. +o4Brue7e que 5a Potencia Tota5 es i6ua5 a 5a su4a de 5as Potencias de cada resistencia Pt=Br1'Br2'Br!'Br"'Br*'Br%'Br#=2.% Pt=20>0.1"!=2.% PUNTO 11. /R!=VR!=R!=V/R!=10!4=!.!!K  PUNTO 12. /R1=VTR1=12100=0.12 /R2=1210000=0.0012 /R!=121000=0.012 /T=0.12'0.0012'0.012=0.1!!2 VR1=/T>R1=0.1!!2>100=1!.!2; VR!=0.1!!2>1000=1!!.2