Unlock-ملخص الكهرباء 2 باك ع.ح.أ ( www.bestcours.net)

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32
RC
o 
(A,B) 
o 
(+)A  B 
o q
q = C.uC (F) 1F=10-6F q(c)
o 
uc
cq
u=
C
(V)
o i
dq
i= dt
c
du
i = C. dt
(A)
o
uR=R.i 
uR  (V)
o 
2
CC
1
E = C.u
2
2
C1q
E=
2c
 (J)
i=i1+i2
U=U1=U2
q=q1+q2
C= C1+C2
2
C 1 2 C
1
E = C +C .u
2
i=i1=i2
U=U1+U2
q=q1=q2
12
1 1 1
=+
C C C
2
12
CC
12
1C
E = .u
2
C
CC
C
E uC
(i=I0=cte)
dq
i = dt
c
q =C.u
q=I0.t
0
c
u= I
q=
C C .t
c
0
I
=u C .t
uc(t)k uc(t)=K .t 
00
C = k
KC
I= I
bestcours.net

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33
RC
CR
E 
uC
 3
ui
 u MY
uc 
cR
u + u =E
R
u =R×i
C
du
dq
i= =C.
dt dt
C
Cdu
u + =E
dt
=RC (s)
t
- τ
u (t) = E(1-e )
c
t
- τ
u (t) = A(1-e )
c
- t
u (t)= A e +B
c
-t/τ
c
du E
=e
dt τ
-t/τ -t/τ
E
E-Ee + τ× e =E
τ
E=E 
uc=f(t)
  uc
 uc=cte i=0
c
du =0
dt
 uc=E

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34
RC
t=0 q(0)=0  q=C.uc uc(0)=0
q=C .uc uc
-t/ τ
c
u (t) = E(1- e )
t
- τ
q(t) = C.E(1-e )
q
uC
q
C
 uc
dq
q+ τ. =C.E
dt
t
- τ
q(t) = C.E(1-e )
c
dq du
i = = C.
dt dt
-t/ τ
c
u (t) = E(1- e )
c
du
dt
t
Ee
-t/τ
E
ie
R
0-t/τ
i I .e
0E
I=
R
t=0 
i
cR
u + u =E
cR
du du
+ = 0
dt dt
R
u =R×i
C
du
dq
i= =C.
dt dt
R
du di
=R×
dt dt
C
du i
=
dt c
di i
R× + =0
dt C
di
i + τ× =0
dt
0-t/τ
i I .e
uR
uRRi
di
i + τ× =0
dt
R
Rdu
u + τ× =0
dt
0-t/τ R
u R.I .e
RC63% 
)=0,63Qmax q(
RC  =RC(s) 
o  (T)  uc=f(t)t=0E
o  uc(τ)=0,63E 
u q u i t
τ = R C = . = = t = seconde
i u I u
o R
o C
2 > τ1
 C2 > C1 
R2 > R1 
 C R =5t=5
RC
CR
)uC
i(t) 

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35
RC
uc
:
CR
u +u =0
R
u =R.i
C
du
dq
i= =C.
dt dt
C
C
du
u + τ =0
dt
:
-t/τ
c(t) Eu = .e
-t/τ
c
du Ee
dt τ
-t/τ -t/τ
E
Ee τ e 0
τ
uc=f(t)
  uc
 uc=0 i=0
t=0  q(0)=Qmax Qmax=C.Euc(0)=E
c
t
- τq = c.uq(t) = C.E.e 
c
dq du
i = = C.
dt dt
-t/ τ
c
u (t) = E e
c
du
dt
 t
Ee
-t/τ
E
ie
R
0-t/τ
i I .e
0E
I=
R
q
uC
q
C
uc
dq
q+ τ. =0
dt
t
- τ
q(t) = C.E.e
  (T)  uc=f(t)t=0
 (0,37 E) 
o R
o C
2 > τ1
3> 
3 2 1
C > C > C
3 2 1
R > R > R
 C R =5t=5

----------------------------------------------------------------------------------------------------------------------------------------------------
36
RL
o  
o 
Ldi
U ri L dt
o uL (V)
o r ()
o L (H) 
o i(A)
o
di
dt
A.s-1
o 
i= cte =I0 
di =0
dt
L0
u = r.I
r
o 
=R.i
R
u
Rmax 0
U =R.I
o 
o 
2
mL
1
E = E = Li
2
(J) 
o 
o 
L (L,r=0) R
GBF
uR YB
uL YB
R
u = - R.i
R
u
i = - R
Ldi
u =Ldt
(r=0)
R
LL du
u = - ×
R dt
L
R
R.u
L= - du
dt