ley de coulomb. ejercicios resueltos
TRANSCRIPT
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t co te j ~ r m iJ L CL 1 -te ~ lH I s~ 0-1 t cAL 1 del l) Ishy bshy 6 V~ ()JJ - Qa Jgt ~lS jk Ju ( ~
S e Vgt CO ul~ t e j Cof Su or-r-e5 llC4 )~ fQ
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~
e A-po - Es JJ fO 20 cLamp ~ fa~Q eY ro-r -fQ o )J fa Ca~
cJiquest~co eu ca ~ gtt re YAeJAr ~)U ~ti CA bull e a~~o -rtocJc ~r U U CJ LQr ~a d~~ca lA~o-bJa ~
J vu~ (e ~ - rockl vO c claquo-odo F ufo fO~ n va ~
fcr lJ ) ro
reg bo~ cor~o) ~Q~bVos jJcJ14 euro- aM Jtuc Jtvl ~ v-erh~ 11~ ~v-ea Kgt ~ JUJ- CALbclAD-Olo I O kos elos Co-r~~ iacute ~
o(u ~QIl O o -ros elOs ver eJ bull ~~ t~o 1-d rJoud4 q - 1- 00 fuer Ca rcJ buk JO bCC Q~ ca 1)05 1- -lltJ o
~ClA-t[cdo co0ack ~ ~ CoUJ~ CrtD a Ou J tcJeJ~ )Juo y~ ~~JaJ cU LLO UJi ~ck- o-Lu- ~C J J ckuuml~ ~~ bc ~ ~ I cJ co ~o (Sl r GlL ~ e r o -ro ~r~p clt c1A Gl eA vs
~ L uU cl~ bgt ( a ch1 ~ gt 6 ~lJ1D- Jve r Ca ~2~ CQ bull
Se- Jet shy -tes cloJ JJ en r e ct1 o ~ euroJolt ~ F ti lU-O ~ ve f ~ ~ QCA ~~ sb- feAshy ti k V-LJcJ
k ~JCl ~ 3ZtiexclJo Lo~a~ eu clAc1-o I~
~-- k + -Z
~b ~J co4~ LO fcuacutele Lou e ~bJ~ tu uAle eshyar-uuml 1 -llA lJUOshy ~~c ~ ~ JI ltJJ ()~ euroU clic1-~ D -shy
(()U po~ 0eCplusmnov~ ~ terre ~b UJu-L-- iectS
uecto luacute~l f ea UJo -J CD-lM-rC $o ~ ve r ~ xgt u ~ ( eos Jo- J~r20- liAe~s lMoj~lo-os j J O tx t rD-J ero ti ~ ve ~JJ ~ OC l)lAacuteiexcl claJ ~ ~~~ r So shy
b Jo doJa Ql Se r W Jele CCllLtroeuroU eu
lo~ ~b~ ck e ~
x ~v-el~f LO~o QoJ ~ t ~
~to ~ Jou veG~ 3~ cJcuh tuiquestcLul J cth ~ J ~ eocOuL~)-~ ~ru )u~r los cl(v~ (e (iexclt~ 1 j ~ ~~
~Oo- ~roLlJocJ
V=
OiacuteENC lAL
-ene 5 ~ -u en (Ca iexclePe o eoJo ea vuo- ~e iacute ~ lA ~ tk ~ ~
e-rto J l1Arc(~I ) A k amp4rJo ~ ~~ ~ I
J ~ ~ eL Jl-ouoa ~~ e1t~
~ f k ~3Z r
s ~~ 03 Qo eer~~ )~Qo el) ~ ~) v e ~ ettfja ~ ~J ~aulr teuelUPgt -d olE NcvAL 1 ~ve ~
t lleu~lAJAO ampl-fj~ A c~r T~ABAjo
EF _ k lt41 --2 r
f t JJ ~r Q
~ (prr- t-Jeuro Cl2 )
~ e e lO) ~ e z) ~r eCUAAacutef~ J~ ctkcltgt ~ (2(L
r~~J e4-J
IdS Co1~ J t~y 1~ ~ r _~ J4~ I ( cft3WJe cyute~ 10
r~ampJ) r~ lO ucu od )-te ~ p pl
r
- shy
A __eamp
3fc 6 cm
I~
Drjo J vevk ea u~r -eUch= j CA-lcul J f~ fu f
J iquest--J ~M
~ Jpc ~~ - ~f- C- -1 shy
tbwJ eut dltn
va -G ett
~ f~ ~d -r ~ () t us-to -eso
1 v ~A~ JJ) ))J ( ~
1- re So tegt- el 4 r ( Cg ~ 4~ NolA~r e(
cl~ ~V~~~ ~~ r0 r JJ -el ~CN-o1)
e ()k ol~ ))J 1 v J v01 ~ o
beiI-e- Jb Q1 al ~ereuuCOlU-O amp ~~~ j CdeglJLO f~~OoJ amp)JlA F( ~
Como ~k(tcio1 ck Un r ~ 1 1 u )to ~ r e e u(- ~ ()Iuu eL r r~ucJ -Un J~L ID CLuu 00 00
~~ ~ J c ) OOlL b I ~ J~ -1( J
fJ () 1) k euroo 012 ~ ~~cj o c~ ) JJu e
C na ~~ tnvc ~ 10wciexcloJ ei -~ dofgt V va ~ tiexcl Q -es ~ ali f- (U-Lu a eh F ~ luacuteoJ
f 0Irc
~C1j
MAclad
cct ri co
ea ck
dt J ( ~lU~ -el e c1-Y (() t QJe-gt ~~ ck J (LILclJJ-o t o d~ v10 a o b -- (SCj~ ck J Ju lo
E~c~~II-UQttiexclo (eJgt eIO Qo )AL J~~~ ea ~o 10 e ( e ~~ a el9-v r el Q
cJ ~ iacute o ee e rtdo ~H )J e Q rr ~-o Cljo 04 j~reci(A ck vakLL~Q
) ~ l = ) 6 bull -tCf
lO j
~ClA-t[cdo co0ack ~ ~ CoUJ~ CrtD a Ou J tcJeJ~ )Juo y~ ~~JaJ cU LLO UJi ~ck- o-Lu- ~C J J ckuuml~ ~~ bc ~ ~ I cJ co ~o (Sl r GlL ~ e r o -ro ~r~p clt c1A Gl eA vs
~ L uU cl~ bgt ( a ch1 ~ gt 6 ~lJ1D- Jve r Ca ~2~ CQ bull
Se- Jet shy -tes cloJ JJ en r e ct1 o ~ euroJolt ~ F ti lU-O ~ ve f ~ ~ QCA ~~ sb- feAshy ti k V-LJcJ
k ~JCl ~ 3ZtiexclJo Lo~a~ eu clAc1-o I~
~-- k + -Z
~b ~J co4~ LO fcuacutele Lou e ~bJ~ tu uAle eshyar-uuml 1 -llA lJUOshy ~~c ~ ~ JI ltJJ ()~ euroU clic1-~ D -shy
(()U po~ 0eCplusmnov~ ~ terre ~b UJu-L-- iectS
uecto luacute~l f ea UJo -J CD-lM-rC $o ~ ve r ~ xgt u ~ ( eos Jo- J~r20- liAe~s lMoj~lo-os j J O tx t rD-J ero ti ~ ve ~JJ ~ OC l)lAacuteiexcl claJ ~ ~~~ r So shy
b Jo doJa Ql Se r W Jele CCllLtroeuroU eu
lo~ ~b~ ck e ~
x ~v-el~f LO~o QoJ ~ t ~
~to ~ Jou veG~ 3~ cJcuh tuiquestcLul J cth ~ J ~ eocOuL~)-~ ~ru )u~r los cl(v~ (e (iexclt~ 1 j ~ ~~
~Oo- ~roLlJocJ
V=
OiacuteENC lAL
-ene 5 ~ -u en (Ca iexclePe o eoJo ea vuo- ~e iacute ~ lA ~ tk ~ ~
e-rto J l1Arc(~I ) A k amp4rJo ~ ~~ ~ I
J ~ ~ eL Jl-ouoa ~~ e1t~
~ f k ~3Z r
s ~~ 03 Qo eer~~ )~Qo el) ~ ~) v e ~ ettfja ~ ~J ~aulr teuelUPgt -d olE NcvAL 1 ~ve ~
t lleu~lAJAO ampl-fj~ A c~r T~ABAjo
EF _ k lt41 --2 r
f t JJ ~r Q
~ (prr- t-Jeuro Cl2 )
~ e e lO) ~ e z) ~r eCUAAacutef~ J~ ctkcltgt ~ (2(L
r~~J e4-J
IdS Co1~ J t~y 1~ ~ r _~ J4~ I ( cft3WJe cyute~ 10
r~ampJ) r~ lO ucu od )-te ~ p pl
r
- shy
A __eamp
3fc 6 cm
I~
Drjo J vevk ea u~r -eUch= j CA-lcul J f~ fu f
J iquest--J ~M
~ Jpc ~~ - ~f- C- -1 shy
tbwJ eut dltn
va -G ett
~ f~ ~d -r ~ () t us-to -eso
1 v ~A~ JJ) ))J ( ~
1- re So tegt- el 4 r ( Cg ~ 4~ NolA~r e(
cl~ ~V~~~ ~~ r0 r JJ -el ~CN-o1)
e ()k ol~ ))J 1 v J v01 ~ o
beiI-e- Jb Q1 al ~ereuuCOlU-O amp ~~~ j CdeglJLO f~~OoJ amp)JlA F( ~
Como ~k(tcio1 ck Un r ~ 1 1 u )to ~ r e e u(- ~ ()Iuu eL r r~ucJ -Un J~L ID CLuu 00 00
~~ ~ J c ) OOlL b I ~ J~ -1( J
fJ () 1) k euroo 012 ~ ~~cj o c~ ) JJu e
C na ~~ tnvc ~ 10wciexcloJ ei -~ dofgt V va ~ tiexcl Q -es ~ ali f- (U-Lu a eh F ~ luacuteoJ
f 0Irc
~C1j
MAclad
cct ri co
ea ck
dt J ( ~lU~ -el e c1-Y (() t QJe-gt ~~ ck J (LILclJJ-o t o d~ v10 a o b -- (SCj~ ck J Ju lo
E~c~~II-UQttiexclo (eJgt eIO Qo )AL J~~~ ea ~o 10 e ( e ~~ a el9-v r el Q
cJ ~ iacute o ee e rtdo ~H )J e Q rr ~-o Cljo 04 j~reci(A ck vakLL~Q
) ~ l = ) 6 bull -tCf
lO j
(()U po~ 0eCplusmnov~ ~ terre ~b UJu-L-- iectS
uecto luacute~l f ea UJo -J CD-lM-rC $o ~ ve r ~ xgt u ~ ( eos Jo- J~r20- liAe~s lMoj~lo-os j J O tx t rD-J ero ti ~ ve ~JJ ~ OC l)lAacuteiexcl claJ ~ ~~~ r So shy
b Jo doJa Ql Se r W Jele CCllLtroeuroU eu
lo~ ~b~ ck e ~
x ~v-el~f LO~o QoJ ~ t ~
~to ~ Jou veG~ 3~ cJcuh tuiquestcLul J cth ~ J ~ eocOuL~)-~ ~ru )u~r los cl(v~ (e (iexclt~ 1 j ~ ~~
~Oo- ~roLlJocJ
V=
OiacuteENC lAL
-ene 5 ~ -u en (Ca iexclePe o eoJo ea vuo- ~e iacute ~ lA ~ tk ~ ~
e-rto J l1Arc(~I ) A k amp4rJo ~ ~~ ~ I
J ~ ~ eL Jl-ouoa ~~ e1t~
~ f k ~3Z r
s ~~ 03 Qo eer~~ )~Qo el) ~ ~) v e ~ ettfja ~ ~J ~aulr teuelUPgt -d olE NcvAL 1 ~ve ~
t lleu~lAJAO ampl-fj~ A c~r T~ABAjo
EF _ k lt41 --2 r
f t JJ ~r Q
~ (prr- t-Jeuro Cl2 )
~ e e lO) ~ e z) ~r eCUAAacutef~ J~ ctkcltgt ~ (2(L
r~~J e4-J
IdS Co1~ J t~y 1~ ~ r _~ J4~ I ( cft3WJe cyute~ 10
r~ampJ) r~ lO ucu od )-te ~ p pl
r
- shy
A __eamp
3fc 6 cm
I~
Drjo J vevk ea u~r -eUch= j CA-lcul J f~ fu f
J iquest--J ~M
~ Jpc ~~ - ~f- C- -1 shy
tbwJ eut dltn
va -G ett
~ f~ ~d -r ~ () t us-to -eso
1 v ~A~ JJ) ))J ( ~
1- re So tegt- el 4 r ( Cg ~ 4~ NolA~r e(
cl~ ~V~~~ ~~ r0 r JJ -el ~CN-o1)
e ()k ol~ ))J 1 v J v01 ~ o
beiI-e- Jb Q1 al ~ereuuCOlU-O amp ~~~ j CdeglJLO f~~OoJ amp)JlA F( ~
Como ~k(tcio1 ck Un r ~ 1 1 u )to ~ r e e u(- ~ ()Iuu eL r r~ucJ -Un J~L ID CLuu 00 00
~~ ~ J c ) OOlL b I ~ J~ -1( J
fJ () 1) k euroo 012 ~ ~~cj o c~ ) JJu e
C na ~~ tnvc ~ 10wciexcloJ ei -~ dofgt V va ~ tiexcl Q -es ~ ali f- (U-Lu a eh F ~ luacuteoJ
f 0Irc
~C1j
MAclad
cct ri co
ea ck
dt J ( ~lU~ -el e c1-Y (() t QJe-gt ~~ ck J (LILclJJ-o t o d~ v10 a o b -- (SCj~ ck J Ju lo
E~c~~II-UQttiexclo (eJgt eIO Qo )AL J~~~ ea ~o 10 e ( e ~~ a el9-v r el Q
cJ ~ iacute o ee e rtdo ~H )J e Q rr ~-o Cljo 04 j~reci(A ck vakLL~Q
) ~ l = ) 6 bull -tCf
lO j
~Oo- ~roLlJocJ
V=
OiacuteENC lAL
-ene 5 ~ -u en (Ca iexclePe o eoJo ea vuo- ~e iacute ~ lA ~ tk ~ ~
e-rto J l1Arc(~I ) A k amp4rJo ~ ~~ ~ I
J ~ ~ eL Jl-ouoa ~~ e1t~
~ f k ~3Z r
s ~~ 03 Qo eer~~ )~Qo el) ~ ~) v e ~ ettfja ~ ~J ~aulr teuelUPgt -d olE NcvAL 1 ~ve ~
t lleu~lAJAO ampl-fj~ A c~r T~ABAjo
EF _ k lt41 --2 r
f t JJ ~r Q
~ (prr- t-Jeuro Cl2 )
~ e e lO) ~ e z) ~r eCUAAacutef~ J~ ctkcltgt ~ (2(L
r~~J e4-J
IdS Co1~ J t~y 1~ ~ r _~ J4~ I ( cft3WJe cyute~ 10
r~ampJ) r~ lO ucu od )-te ~ p pl
r
- shy
A __eamp
3fc 6 cm
I~
Drjo J vevk ea u~r -eUch= j CA-lcul J f~ fu f
J iquest--J ~M
~ Jpc ~~ - ~f- C- -1 shy
tbwJ eut dltn
va -G ett
~ f~ ~d -r ~ () t us-to -eso
1 v ~A~ JJ) ))J ( ~
1- re So tegt- el 4 r ( Cg ~ 4~ NolA~r e(
cl~ ~V~~~ ~~ r0 r JJ -el ~CN-o1)
e ()k ol~ ))J 1 v J v01 ~ o
beiI-e- Jb Q1 al ~ereuuCOlU-O amp ~~~ j CdeglJLO f~~OoJ amp)JlA F( ~
Como ~k(tcio1 ck Un r ~ 1 1 u )to ~ r e e u(- ~ ()Iuu eL r r~ucJ -Un J~L ID CLuu 00 00
~~ ~ J c ) OOlL b I ~ J~ -1( J
fJ () 1) k euroo 012 ~ ~~cj o c~ ) JJu e
C na ~~ tnvc ~ 10wciexcloJ ei -~ dofgt V va ~ tiexcl Q -es ~ ali f- (U-Lu a eh F ~ luacuteoJ
f 0Irc
~C1j
MAclad
cct ri co
ea ck
dt J ( ~lU~ -el e c1-Y (() t QJe-gt ~~ ck J (LILclJJ-o t o d~ v10 a o b -- (SCj~ ck J Ju lo
E~c~~II-UQttiexclo (eJgt eIO Qo )AL J~~~ ea ~o 10 e ( e ~~ a el9-v r el Q
cJ ~ iacute o ee e rtdo ~H )J e Q rr ~-o Cljo 04 j~reci(A ck vakLL~Q
) ~ l = ) 6 bull -tCf
lO j
~ e e lO) ~ e z) ~r eCUAAacutef~ J~ ctkcltgt ~ (2(L
r~~J e4-J
IdS Co1~ J t~y 1~ ~ r _~ J4~ I ( cft3WJe cyute~ 10
r~ampJ) r~ lO ucu od )-te ~ p pl
r
- shy
A __eamp
3fc 6 cm
I~
Drjo J vevk ea u~r -eUch= j CA-lcul J f~ fu f
J iquest--J ~M
~ Jpc ~~ - ~f- C- -1 shy
tbwJ eut dltn
va -G ett
~ f~ ~d -r ~ () t us-to -eso
1 v ~A~ JJ) ))J ( ~
1- re So tegt- el 4 r ( Cg ~ 4~ NolA~r e(
cl~ ~V~~~ ~~ r0 r JJ -el ~CN-o1)
e ()k ol~ ))J 1 v J v01 ~ o
beiI-e- Jb Q1 al ~ereuuCOlU-O amp ~~~ j CdeglJLO f~~OoJ amp)JlA F( ~
Como ~k(tcio1 ck Un r ~ 1 1 u )to ~ r e e u(- ~ ()Iuu eL r r~ucJ -Un J~L ID CLuu 00 00
~~ ~ J c ) OOlL b I ~ J~ -1( J
fJ () 1) k euroo 012 ~ ~~cj o c~ ) JJu e
C na ~~ tnvc ~ 10wciexcloJ ei -~ dofgt V va ~ tiexcl Q -es ~ ali f- (U-Lu a eh F ~ luacuteoJ
f 0Irc
~C1j
MAclad
cct ri co
ea ck
dt J ( ~lU~ -el e c1-Y (() t QJe-gt ~~ ck J (LILclJJ-o t o d~ v10 a o b -- (SCj~ ck J Ju lo
E~c~~II-UQttiexclo (eJgt eIO Qo )AL J~~~ ea ~o 10 e ( e ~~ a el9-v r el Q
cJ ~ iacute o ee e rtdo ~H )J e Q rr ~-o Cljo 04 j~reci(A ck vakLL~Q
) ~ l = ) 6 bull -tCf
lO j
IdS Co1~ J t~y 1~ ~ r _~ J4~ I ( cft3WJe cyute~ 10
r~ampJ) r~ lO ucu od )-te ~ p pl
r
- shy
A __eamp
3fc 6 cm
I~
Drjo J vevk ea u~r -eUch= j CA-lcul J f~ fu f
J iquest--J ~M
~ Jpc ~~ - ~f- C- -1 shy
tbwJ eut dltn
va -G ett
~ f~ ~d -r ~ () t us-to -eso
1 v ~A~ JJ) ))J ( ~
1- re So tegt- el 4 r ( Cg ~ 4~ NolA~r e(
cl~ ~V~~~ ~~ r0 r JJ -el ~CN-o1)
e ()k ol~ ))J 1 v J v01 ~ o
beiI-e- Jb Q1 al ~ereuuCOlU-O amp ~~~ j CdeglJLO f~~OoJ amp)JlA F( ~
Como ~k(tcio1 ck Un r ~ 1 1 u )to ~ r e e u(- ~ ()Iuu eL r r~ucJ -Un J~L ID CLuu 00 00
~~ ~ J c ) OOlL b I ~ J~ -1( J
fJ () 1) k euroo 012 ~ ~~cj o c~ ) JJu e
C na ~~ tnvc ~ 10wciexcloJ ei -~ dofgt V va ~ tiexcl Q -es ~ ali f- (U-Lu a eh F ~ luacuteoJ
f 0Irc
~C1j
MAclad
cct ri co
ea ck
dt J ( ~lU~ -el e c1-Y (() t QJe-gt ~~ ck J (LILclJJ-o t o d~ v10 a o b -- (SCj~ ck J Ju lo
E~c~~II-UQttiexclo (eJgt eIO Qo )AL J~~~ ea ~o 10 e ( e ~~ a el9-v r el Q
cJ ~ iacute o ee e rtdo ~H )J e Q rr ~-o Cljo 04 j~reci(A ck vakLL~Q
) ~ l = ) 6 bull -tCf
lO j
A __eamp
3fc 6 cm
I~
Drjo J vevk ea u~r -eUch= j CA-lcul J f~ fu f
J iquest--J ~M
~ Jpc ~~ - ~f- C- -1 shy
tbwJ eut dltn
va -G ett
~ f~ ~d -r ~ () t us-to -eso
1 v ~A~ JJ) ))J ( ~
1- re So tegt- el 4 r ( Cg ~ 4~ NolA~r e(
cl~ ~V~~~ ~~ r0 r JJ -el ~CN-o1)
e ()k ol~ ))J 1 v J v01 ~ o
beiI-e- Jb Q1 al ~ereuuCOlU-O amp ~~~ j CdeglJLO f~~OoJ amp)JlA F( ~
Como ~k(tcio1 ck Un r ~ 1 1 u )to ~ r e e u(- ~ ()Iuu eL r r~ucJ -Un J~L ID CLuu 00 00
~~ ~ J c ) OOlL b I ~ J~ -1( J
fJ () 1) k euroo 012 ~ ~~cj o c~ ) JJu e
C na ~~ tnvc ~ 10wciexcloJ ei -~ dofgt V va ~ tiexcl Q -es ~ ali f- (U-Lu a eh F ~ luacuteoJ
f 0Irc
~C1j
MAclad
cct ri co
ea ck
dt J ( ~lU~ -el e c1-Y (() t QJe-gt ~~ ck J (LILclJJ-o t o d~ v10 a o b -- (SCj~ ck J Ju lo
E~c~~II-UQttiexclo (eJgt eIO Qo )AL J~~~ ea ~o 10 e ( e ~~ a el9-v r el Q
cJ ~ iacute o ee e rtdo ~H )J e Q rr ~-o Cljo 04 j~reci(A ck vakLL~Q
) ~ l = ) 6 bull -tCf
lO j
tbwJ eut dltn
va -G ett
~ f~ ~d -r ~ () t us-to -eso
1 v ~A~ JJ) ))J ( ~
1- re So tegt- el 4 r ( Cg ~ 4~ NolA~r e(
cl~ ~V~~~ ~~ r0 r JJ -el ~CN-o1)
e ()k ol~ ))J 1 v J v01 ~ o
beiI-e- Jb Q1 al ~ereuuCOlU-O amp ~~~ j CdeglJLO f~~OoJ amp)JlA F( ~
Como ~k(tcio1 ck Un r ~ 1 1 u )to ~ r e e u(- ~ ()Iuu eL r r~ucJ -Un J~L ID CLuu 00 00
~~ ~ J c ) OOlL b I ~ J~ -1( J
fJ () 1) k euroo 012 ~ ~~cj o c~ ) JJu e
C na ~~ tnvc ~ 10wciexcloJ ei -~ dofgt V va ~ tiexcl Q -es ~ ali f- (U-Lu a eh F ~ luacuteoJ
f 0Irc
~C1j
MAclad
cct ri co
ea ck
dt J ( ~lU~ -el e c1-Y (() t QJe-gt ~~ ck J (LILclJJ-o t o d~ v10 a o b -- (SCj~ ck J Ju lo
E~c~~II-UQttiexclo (eJgt eIO Qo )AL J~~~ ea ~o 10 e ( e ~~ a el9-v r el Q
cJ ~ iacute o ee e rtdo ~H )J e Q rr ~-o Cljo 04 j~reci(A ck vakLL~Q
) ~ l = ) 6 bull -tCf
lO j