FÍSICA – ELECTRICIDAD Y
CAMPOS
PRÁCTICA DE ELECTRICIDAD Y MAGNETISMO
1.- Dos esfers !e"#e$s %&'()%*s )%e(e( #( +s m , #( *r q. C#(&o se es *oo* e( #( )/0( &e r&%o R , &e !re&es (o *o(&#*)ors , %res &e fr%**%0(2 s esfers se +#e3e(2 , *#(&o es)4( e( e"#%%r%o se e(*#e()r( #( &%s)(*% R 53er 6#r7. De)er+%(e *r &e *& esfer.
RPTA8 9
:
:;
<.- C%(*o *rs !#()#es =" es)4( %#+e()e es!*%&s e( #( se+%*>r*#o &e r&%o R *o+o %(&%* 6#r. C*#r e *+!o e'*)r%*o *re&o !or es &%s)r%#*%0( &e *rs e( e *e()ro &e se+%*>r*#o , f#er/ e'*)r%* (e) sore #( *r - ? s%)#& e( e *e()ro &e se+%*>r*#o.
RPTA8
9@
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;.- Dos esfers &%+%(#)s &e +s m )%e(e( *rs %#es !ero o!#es)s &e +(%)#& q. Se )( +%s+o (*o &e )e*o *o( *#er&s %ers &e o(%)#& C#(&o se *)%3 *)%3 #( *+!o e'*)r%*o e'*)r%*o or%/o() or%/o() , #(%for+ #(%for+e e E2 s esfers L. C#(&o *#e *#e ( ( *o *o( ( #( 4(# 4(#o o e()r e()re e s s *#er *#er& &s. s. a7 C#4 C#4 es esfe fer r 5&er 5&ere* e* o %/"#%er&7 es !os%)%32 , *#4 es (e)%3 b7 E(*#e()re e 4(#o e()re s *#er&s e( )'r+%(os &e E2 q2 m , g.
PROF. PROF. RUBEL RUBE L LINARES LINARE S
FÍSICA – ELECTRICIDAD Y
RPTA8 7 9 < )(B1 5
PROF. RUBEL LINARES
CAMPOS
7
H.- Tres *rs !#()#es (e)%3s es)4( sore #( >(e2 *o+o se %#s)r e( 6#r. E(*#e()re +(%)#& , &%re**%0( &e *+!o e'*)r%*o "#e !ro&#*e es) *o+%(*%0( &e *rs e( e !#()o P2 "#e es)4 *+ &e *r &e - < JC +e&%& e( for+ !er!e(&%*#r >(e "#e *o(e*) s )res *rs.
G 9 5B12KH 1KL7 / RPTA8
.- Dos esfers !e"#e$s *o( *rs !os%)%3s ; q , q es)4( 6s e( os e)re+os &e #( 3r% %s()e or%/o()2 "#e se e)%e(&e &es&e e or%e( s) e !#()o x 9 d. Co+o se !#e&e oser3r e( 6#r2 e%s)e #( )er*er esfer !e"#e$ *o( *r "#e !#e&e &es%/rse *o( %er)& sore 3r%. E( "#' !os%*%0( &eer4 es)r )er*er esfer !r es)r e( e"#%%r%o
RPTA8
9 K2;H
.- U( rr %s&or #(%for+e+e()e *r&2 &e 1H *+ &e o(%)#&2 se &o e( for+ &e #( se+%*>r*#o2 *o+o se +#es)r e( 6#r. L rr )%e(e #( *r )o) &e -2K JC. E(*#e()re +(%)#& , &%re**%0( &e *+!o e'*)r%*o e( O2 e *e()ro &e se+%*>r*#o.
G 9 5B<12I 1KI7 / RPTA8
.- E( e !roe+ re%/&o e( *se se **#0 e *+!o e'*)r%*o o ro &e ee &e #( &%s*o #(%for+e+e()e *r&o &e r&%o R , *o( #( *r )o) Q.
De+#es)re "#e e *+!o e'*)r%*o &%s)(*%s x "#e se( o s#6*%e()e+e()e r(&es e( *o+!r*%0( *o( R2 se *er* #( !r)>*# *o( *r 9 <. 5Sugerencia8 !r%+ero &e+#es)re "#e x 5 x < = R271< 9 51 = R2 x 27-1< , #)%%*e e!(s%0( &e %(o+%os 51 =Q7 ( 1 = nQ *#(&o Q1.7
.- U( *r !os%)%3 ? es)4 &%s)r%#%& &e +(er #(%for+e o ro &e ee , !os%)%3o e()re y 9 K , y 9 . U( *r !#()# (e)%3 -" se e(*#e()r sore !r)e !os%)%3 &e ee 2 #( &%s)(*% &e or%e( 53er 6#r7. 7 C*#e s *o+!o(e()es x , y &e *+!o e'*)r%*o !ro&#*%&o !or &%s)r%#*%0( &e *r ? e( !#()os sore !r)e !os%)%3 &e ee . 7 C*#e s *o+!o(e()es , , &e f#er/ "#e &%s)r%#*%0( &e *r ? eer*e sore ". *7 De+#es)re "#e s% x 2 V ; −4 K < , V 8 K .
W.- Dos !*s +e)4%*s or%/o()es2 *& #( &e 1KK ++ &e &o2 es)4( %(e&s #( sore o)r *o( #( se!r*%0( &e 1K ++. Se es !ro!or*%o( *rs &e %# +(%)#& , &e s%(o o!#es)o &e +(er "#e se e(ere #( *+!o e'*)r%*o #(%for+e *% o &e *# *o( +s < 1K -1 X , *o( #( *r !os%)%3 &e 1 1K - C !r)e &e *e()ro &e !* (e)%3 %(fer%or *o( #( r!%&e/ %(%*% &e 1 1K +s e( #( 4(#o &e ; sore or%/o(). Des*r% )r,e*)or% &e !r)>*#. Co()r "#' !* se %+!*)r42 , &0(&e se %+!*)r4 e( re*%0( *o( s# !#()o &e !r)%& RPTA8 L !r)>*# %+!*)r4 *o( !* (e)%3 &es!#'s &e +o3erse e( #( !r4o *o( #( )#r &e K211 ++ , #( &%s)(*% &e K2W1 ++. 1K.- Se (/ #( ee*)r0( *o( r!%&e/ %(%*% 3 K 9 12K 1K +s *% e %()er%or &e #( *+!o #(%for+e e()re s !*s !res &e 6#r. S#!o( "#e e *+!o e()re s !*s es #(%for+e , es)4 &%r%%&o 3er)%*+e()e *% o2 , "#e e *+!o f#er &e s !*s es %# *ero. E ee*)r0( %(res *+!o e( #( !#()o e"#%&%s)()e &e s &os !*s. 7 S% e ee*)r0( !e(s %r !* s#!er%or s%r &e *+!o2 e(*#e()re +(%)#& &e *+!o e'*)r%*o. 7 S#!o( "#e e( 6#r e ee*)r0( es s#s)%)#%&o !or #( !ro)0( *o( +%s+ r!%&e/ %(%*% 3 K. Go!er> e !ro)0( #( &e s !*s S% e !ro)0( (o o!e (%(#( &e s !*s2 *#4es ser>( +(%)#& , &%re**%0( &e s# &es!/+%e()o 3er)%*2 +e&%& "#e se &e re%0( e()re s !*s *7 Co+!re s )r,e*)or%s "#e re*orre( e ee*)r0( , e !ro)0(2 , e!%"#e s
&%fere(*%s. &7 A(%*e s% es r/o(e %(orr os efe*)os &e r3e&& e( *& !r)>*#. RPTA8 7 E 9 ;H NC 7 y 9 -<2; 1K - +2 es &e*%r &%r%%&o *% o.
