[Www.devoir.tn] Circuit Rc Rl Rlc Libre 2012 2013(Fethi Affi)
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Transcript of [Www.devoir.tn] Circuit Rc Rl Rlc Libre 2012 2013(Fethi Affi)
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E C
C ?
i(t)
R1
K
E C uC(t)
2
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E
i(t)
R
C uC(t)
1 2
K
1 C
=0 : 1
C(=0)=0
( ) ( ) R C E u t u t = +
τ τ . ()
C
( )( )C C
du t R C u t E
dt ⋅ ⋅ + =
( ) ( )C C du t u t E
dt τ τ + =
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1 C
( ) ( )C C du t u t E dt τ τ
+ =
=0 : 1
C(=0)=0 E
i(t)
R
C uC(t)
1 2
K
: ( ) ( )expC H t u t K τ = ⋅ −
:
( )C P u t E =
: ( ) ( )expC t u t K E τ
= ⋅ − +
( ) ( )1 expC t u t E τ = − −
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1 C
C()E0,95.E
=0 : 1
C(=0)=0 E
i(t)
R
C uC(t)
1 2
K
ττττ 3.τ3.τ3.τ3.τ 5.τ5.τ5.τ5.τ
0,63.E
( ) ( )1 expC t u t E τ = − −
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1 C
C()E
ττττ ?
τ=τ=τ=τ=.C
( ) ( )1 expC t u t E τ
= − −
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2 D
=0 : 2
C(=0)=E
( ) ( ) ( ) ( )0 R C C u t u t R i t u t = + = ⋅ +
E
i(t)
R
C uC(t)
1 2
K
( ) ( )0
C C du t u t
dt τ + =
( ) ( )expC t u t E τ
= ⋅ −
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2 D
C()E
i(t)
R
C uC(t)
12
K
E
1
2
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3 E
E ? E ?
C :
E
i(t)
R
C uC(t)
1
2
K
2
fournie C E = ⋅
21
2 stockée C E = ⋅ ⋅
21
2dissipée E C E = ⋅ ⋅
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3 E
E ? E ?
D :
E
i(t)
R
C uC(t)
1
2
K
21
2 stockée C E = ⋅ ⋅
21
2dissipée C E = ⋅ ⋅
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A :
100 000 . 24 24 , 60 80 ,
: .
, ' '
( )
' .
'
30
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A :
1 : (τ1=.C)
2 :
(τ2=.C >> τ1)
3 : C ,
.
4 :
C
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A :
//../.11&
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A ?
http://www.psychoweb.fr/news/actualites-de-la-recherche/454-tocs-et-depressions-le-pace-maker-
cerebral-a-foncti.html
http://revue.medhyg.ch/print.php3?sid=30031
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A ?
http://www.lexpress.fr/actualite/sciences/sante/le-pacemaker-du-cerveau_491581.html
http://www.uwhealth.org/news/setting-the-pace-neuropace-pacemaker-for-epilepsy/12893
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A ?
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:
, .
:
( ) )C du t
i t C dt
= ⋅
E , :C=
=0
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E
D ( ) () ( ) ()
E
CuC(t)
R1
R2
Cu t
R2
)
)
1
E
C2u2 (t)
R1 R2
C1u1 (t)
EC2
R2
R1
C1
u2 (t)
u1 (t)
)
)
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E
1, C(C=47 µF) E=4,5 .
2,
.
C
=0 : C=4,5
=200 : C= 3
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E
C
C=47 µF
=0 : C=4,5
=200 : C= 3
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1 E
( ) ( ) R L E u t u t = + ( ) ( )di t
E R i t Ldt
= ⋅ + ⋅
=0 : 1(=0)=0 A
( )( )
di t R E i t
dt L L+ ⋅ =
ττττ
i t i t E dt Lτ + =
: ( ) ( )exp E t i t K Rτ
= ⋅ − +
( ) ( )1 exp E
t i t R τ = − −
2
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2 A
( ) ( )0 R Lu t u t = + ( ) ( )
0di t
R i t Ldt
= ⋅ + ⋅
=0 : 2(=0)=E/
( )( ) 0
di t Ri t
dt L+ ⋅ =
ττττ
0i t i t dt τ + =
: ( ) ( )exp t i t K τ
= ⋅ −
( ) ( )exp E
t i t R τ = ⋅ −
3 E
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3 E
()
E/ E t
Rτ
−
( ) ( )1 exp E t i t R τ
= − −
3 E
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3 E
() ?
1 : E
( ) ( )
L
di t u t L
dt = ⋅
( ) ( )1 exp t
i t R τ = − −
( )
( )
1 exp 1 exp
1exp exp
L
L
E t t d d
R L E u t L
dt R dt
L E t L E t u t
R R
τ τ
τ τ τ τ
− − − − ⋅ = ⋅ = ⋅
⋅ ⋅ = − ⋅ − ⋅ − = ⋅ −
⋅
( ).
( ) exp Lt
u t E τ
= ⋅ −
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3 E
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3 E
() ?
()
E/
()
E
E
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E C
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E C
C ?
i(t)
RK
E uL(t)
L
C
uC(t)
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E C
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E C
( ( ( )2
2
C C C
d u t du t C RC u t E dt dt
⋅ + ⋅ + =
0 < < 100 ΩΩΩΩ
=100
C=1
E C
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E C
= 100 ΩΩΩΩ ( ) ( )
( )
2
2
C C
C
d u t du t
LC RC u t E dt dt ⋅ + ⋅ + =
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E C
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E C
= 1 ΩΩΩΩ ( ) ( )
( )
2
2
C C
C
d u t du t
LC RC u t E dt dt ⋅ + ⋅ + =
E C
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C
= 0 ΩΩΩΩ ( ) ( )
( )
2
2
C C
C
d u t du t
LC RC u t E dt dt ⋅ + ⋅ + =
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A E /
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/
( ) ( ) ( )2
2
d q t dq t q t
L R E dt dt C + ⋅ + =
( ) ( )
( )
2
2 0
d x t dx t
m f k x t dt dt ⋅ + ⋅ = ⋅ =
:
:
:
:
: C
: E=1/2..
: E=1/2.C
: =.
:
:
: 1/
: E=1/2..
: E=1/2..
: F=.