first order rcrl
TRANSCRIPT
![Page 1: First order rcrl](https://reader035.vdocuments.pub/reader035/viewer/2022080211/55878955d8b42a42318b46a1/html5/thumbnails/1.jpg)
→
dV
E = !
" # $
%
& # $
ED=ε
ε ' εε
ε ' ()(*+,-.,/0
ε #
ε , # 1 2 # " ! #
VQ
C =
3 $
ε #
ε !
,)---4 5* /)* ,6--
6)- 5-- *)- *--- 5)* 6---
5*--
5*
![Page 2: First order rcrl](https://reader035.vdocuments.pub/reader035/viewer/2022080211/55878955d8b42a42318b46a1/html5/thumbnails/2.jpg)
#7
dA
C ε= #0 !
ε 8 $ " ! ! 8 9 !
2 & .
dt)t(dv
C)t(i cc =
: ,! ; !)) ' -) #
−
' -
<
' -
<
/! !)
!6! =
= .∞
∞−=
tdt)t(pw
+=
!' dt
dvCv c
c=
; .∞!' -!' = !
==V
0
2cc JCV
21
dvvCw
![Page 3: First order rcrl](https://reader035.vdocuments.pub/reader035/viewer/2022080211/55878955d8b42a42318b46a1/html5/thumbnails/3.jpg)
>
+=
+=
$' ,/? 4 " 9!' ,!/!6!@!*!4!
+=
A
+++++=
[ ]
++++++
+++++=
2 2 $ !>
=
=
=
=
$' ,/6@ " B9
' ,/6@
( )
+++==
A ( ) +++=
2 $
=
=
; $ $
![Page 4: First order rcrl](https://reader035.vdocuments.pub/reader035/viewer/2022080211/55878955d8b42a42318b46a1/html5/thumbnails/4.jpg)
& 0 0 $ # ! ' C '
φ' # !
φ=
& 97 0 # 97 ! )" )
:
" C
φ=
; # )C ; # )C " )" #7
µ= & !
C D
µ # 8 D $ 0 A
φ=
=⋅φ=
=
![Page 5: First order rcrl](https://reader035.vdocuments.pub/reader035/viewer/2022080211/55878955d8b42a42318b46a1/html5/thumbnails/5.jpg)
2 99 ,! ; 9 !)) 9' -) #
9
9
9' -
<
' <' <
<
/! 9 !)9 !
6! 9 "
= ∞
==
∞−=
tdt)t(pw
9 9 9
9
9
9
+=
; ∞!' -!' := " 9
==
=
2 $
++++=
++++=
=
=
![Page 6: First order rcrl](https://reader035.vdocuments.pub/reader035/viewer/2022080211/55878955d8b42a42318b46a1/html5/thumbnails/6.jpg)
" B9' ,/6@
+=
+=
$' ,/? 4
A
+++=
2 $
=
=
• 9 # )
• 2 # )o 2 # )2
o 2 )2
$
• 8 !)
• 8 # !
• 9 $o <9o <Bo <9B
2
! "" 2 ) ' -)8 E -F G E -
' -
<
<
.
<
!' F !' F
![Page 7: First order rcrl](https://reader035.vdocuments.pub/reader035/viewer/2022080211/55878955d8b42a42318b46a1/html5/thumbnails/7.jpg)
" B9
-! ! )8 -!F
-<
B =+
<B
−=
<B
−=
−=
!
!-
<B
<B
,
!-
!
−= <B
,
!-!−
=
G
#"$% &' #"$% & $ $ )A -!' -!'
1 )> B' ,-- 0 <' , Ω' ,--
Time
0s 0.1s 0.2s 0.3s 0.4s 0.5s 0.6s 0.7s 0.8s 0.9s 1.0sV(C1:1,C1:2)
0V
50V
100V
>
<B
,
!−
=
o > ' <B ' -!,' -!×-)645H): 64)5HI
)<B ! ττττ' o .
$
o C $ = : 8" $ )
$% &≠≠≠≠$% &
τ−−=
<
!-
τ−=−=
<
!-
! "" 2 ' -)8 ! E -F
" 9
<9<:
' -
<9
9
-<
9 =+
![Page 8: First order rcrl](https://reader035.vdocuments.pub/reader035/viewer/2022080211/55878955d8b42a42318b46a1/html5/thumbnails/8.jpg)
> $ -! ! )8 -!F G
$% &' $% &8 $ $ )A -!' -!' :G
-9
<
=−=
9
<
!-!−
=
9
<
:!−
=
9 < <9ττττ' (
> ' τ 64)5HI )
1 )9' -),& <' ,-Ω9-!' ,8
C $ $ = : 8" )
τ−=
!-!
) * $ * & * 2 ' -)2
2 ≥-
' -
B<:
< B:
" B9
B
<
: +=
<B
B
: +=
<
; ' - ! :< !
( )<:<B
,
−−=
( ) <B
<:
−=−
( ) −=−
-
!
<B
,
<:
<B
,
<:
<:!
−=
−−
−=
− <B
,
,<:!
![Page 9: First order rcrl](https://reader035.vdocuments.pub/reader035/viewer/2022080211/55878955d8b42a42318b46a1/html5/thumbnails/9.jpg)
B :' ,8<' ,--ΩB' ,--- 0 ' -)J
Time
0s 0.1s 0.2s 0.3s 0.4s 0.5s 0.6s 0.7s 0.8s 0.9s 1.0sV(U1:2)
0V
50V
100V
8 +' ' )' <
Time
0s 0.1s 0.2s 0.3s 0.4s 0.5s 0.6s 0.7s 0.8s 0.9s 1.0sI(R1) I(C1)
0A
0.5A
1.0A
) * $ * & * 2 :)8 F " 9 > <BA $ -!' -! , - * *
τ' 9 < ! )
' -
<
9
9< +=
B
<
: +=
( )τ−−= ,<
!
<
. * / <B <9
! +!' K LK L
! +!' K LK #L+! $ ) !
; ' -
M,N+!+!+ !
# !
τ−−τ−− −+=
M,N+!-+!+ #
τ−τ− −+=
! + ! )) B 9!+#
→∞→ * →→→→ +! " 0 $ &' 0 $ & * " 0 $ & * / / 0 $ &
τ <9τ' 9 <
<Bτ' <B < B 9
τ−−−+= !##
M+!+N+!+
![Page 10: First order rcrl](https://reader035.vdocuments.pub/reader035/viewer/2022080211/55878955d8b42a42318b46a1/html5/thumbnails/10.jpg)
B 2 ' -!8 F !8 F !8 F ! E -! E -#!> ' -F ! 2
B$ )G -!' -!
H-
@-- Ω /-Ω
4-Ω @--)*µ0
-!' (-
4-@- ' 1 % 2
! C ) $ ∴∞!' 3 % 2
! τ' <BB.' -)*µ0 < B @-- Ω
τ' % 45 ! ! G 7
B )
τ−−−+= !##
M!N!
* MH-6-NH-! −−−+=
,/-H-! *
−−=
*## M!N! −−+=
2 $ ' 6-
H-:@-----!' -H-@-----!6-' -
∴-!' 6--µ8C -)A :
B =
#! #
86--! * µ= −
( )86--
,/-H-B *
*
µ=−= −−
-,/-H-! * =−= −
,/-
H- * =−
*@)*5*
,/-
H-
=
−=
![Page 11: First order rcrl](https://reader035.vdocuments.pub/reader035/viewer/2022080211/55878955d8b42a42318b46a1/html5/thumbnails/11.jpg)
Time
0s 100ms 200ms 300ms 400ms 500ms 600ms 700ms 800msI(R1)
0A
200uA
400uAV(C1:1)
50V
100V
-30VSEL>>