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RYAN INTERNATIONALSCHOOL,
GHAZIABAD
INVESTIGATORY
PROJECT ON:-
Charging and disharging !"
a#ai$!r in R-C ir%i$s
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&
INDE' S n!( TOPICS
Pag)n!(
*( AC+NOLEDGEENT
.&( CERTI/ICATE
0.( INVESTIGATORY PROJECT REPORT
1i2 Ai3 41ii2 In$r!d%$i!n 4-51iii2 a$)ria6s r)7%ir)d 5-
8
1i92 Th)!r 8-*;192 Pr!)d%r)
*;-*&19i2 O
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.
AC+NOLEDGEENTOn !3#6)$i!n !" 3 in9)s$iga$!r
#r!>)$ I "))6 )?$r)3)6 d)6igh$)d )$ and h)6#ing 3)
nania66 as @)66( Th)n I @!%6d 6i) $!
$han 3 3)n$!r and $)ah)r r( A3i$
ishra "!r $)ahing 3) $h)
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0
"!r s%##!r$ing 3) and gi9ing 3) $his
!##!r$%ni$ $! 3a) $his #r!>)$( In
$h) )nd I @!%6d 6i) $! $han $h)sh!#))#)r r( Ar%n +%3ar "!r
#r!9iding 3) @i$h hard-$!-g)$
3a$)ria6s a$ 9)r 6!@ #ri)(
Shi9a3 Sh)har
CERTI/ICATE
This is h)r)
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=
$i$6)d FCharging and disharging !"a#ai$!rs in R-C Cir%i$(
T)ah)rs Signa$%r)
INVESTIGATO
RY
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4
PROJECTON:-
Charging and disharging!" a#ai$!rs in R-Cir%i$
1. Aim:-
T! 9)ri" $ha$ 4. harg) is s$!r)d in a a#ai$!r in a R-C ir%i$
a$ i$s $i3) !ns$an$ and 4. harg) r)3ains @h)n a#ai$!r is
disharg)d and h)n) #6!$ a gra#h
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5
An R-C ir%i$ is a ir%i$ !n$aining a r)sis$!r and a#ai$!r
in s)ri)s $! a #!@)r s!%r)( S%h ir%i$s nd 9)r i3#!r$an$
a##6ia$i!ns in 9ari!%s ar)as !" si)n) and in
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8
3)3http://en.wikipedia.org/wiki/Capacitancehttp://en.wikipedia.org/wiki/Potential_energy
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.( * r)sis$!r
0( 3%6$i3)$)r
=( V
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*;
VQQ
C
P%$$ing a
E -
Q
C - iRQ;
Sin) iQdQ
dt
Th)r)"!r), E -Q
C -dQ
dt RQ;
E -Q
C QdQ
dt R
EC-Q
dQ
dt RCIn$)gra$ing
0
t1
RC dt Q
0
Q1
ECQdQ
lnECQ
EC Qt
RC ( 1ii2
*QEC Q e
t
RC
H)n) @) g)$, QEC (1et
RC)Sin) ECQ;"!r a a#ai$!r
Th)r)"!r),
Q; (1et
RC) (( 1iii2H)r), harg) a$ $i3) $
! 3a? harg)
A6s! QCV and !QCV!, @h)r) V and V!ar) 9!6$ag) a$ $i3) $
and 3a? 9!6$ag) r)s#)$i9)6
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**
Th)r)"!r) "r!3 )7 1iii2,
CVQCV! (1et
RC)
VQV! (1et
RC) , $his is $h) r)7%ir)d )?#r)ssi!n(
NOTE:- This is $h) harging )7%a$i!n !n6, "!r disharging
)7%a$i!n #r!))d $h) sa3) @a
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*&
1ii2 N!@ $a) 3%6$i3)$)r 6)ads and #6a) $h)3 in $h) $@!
$)r3ina6s sha#)d 6i) (1iii2 B)"!r) #r!))ding "%r$h)r @) 3%s$ ha9) a
!3#!n)n$s( Th) !3#!n)n$s !%6d %s$ #%sh)d in$h) h!6)s and !nn)$i!ns !%6d
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*.
hanging r)adingsX B%$
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*0
0. 4(5& &(&* *0;
. 5(;; *(=0 *8;
. 8(*& ;(50 &=;
1#. 8(0; ;(0. .;;
raph:-P6!$ !" 9!6$ag) 9s $i3)
Ti3) !n ?-a?is and 9!6$ag) !n -a?is1i2 /!r harging:-
; *;; &;; .;; 0;;
;
*
&
.
0
=
4
5
8
charging of capacitor
Y-Va6%)s
1ii2 /!r disharging:-
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*=
; =; *;; *=; &;; &=; .;; .=;
;
*
&
.
0
=
4
58
*;
Discharging of capacitor
Y-Va6%)s
Th) !rigina6 gra#hs "!r disharging and harging r)s#)$i9)6 ar):-
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*4
Calculations:-
N!@ sin) $h) gra#hs ar) 9)r 3%h si3i6ar $! $h) gra#hs !"
harging and disharging !" a#ai$!r(
A$ Q*;;s), d%ring harging !" a#ai$!r $h) 9!6$ag) !n
a#ai$!r is =(4 9!6$ as i$ is !
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*5
VQ.(.&[.(.; @hih is ahi)9)d )?#)ri3)n$a66 as @)66
0. Conclusion:-H)n) i$ is 9)ri)d )?#)ri3)n$a66 $ha$ 4. harg) is $h)r)
!n a#ai$!r a"$)r $i3) !ns$an$ d%ring harging and 4.harg) is 6!s$ a$ $i3) !ns$an$ d%ring disharging(
. References:- G!!g6)(!(in
En(@ii#)dia(!rg
C!n)#$s !" #hsis #ar$ & )$ is !3#6)$)6 r)a$)d @i$h $h) h)6# !" ir!s!"$
@!rd &;;5 and $h) gra#hs, )7%a$i!ns and !
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