.
( ) . , .
, (1.1)
ik (ul) - () Lk ( Cl); k l - .
(), P = dW / dt , .
(1.1) .
1. , t = 0
iL(0+) = iL(0-) = iL(0),(1.2)
t = 0- - ; t = 0+ - .
2. .
uC(0+) = uC(0-) = uC(0),(1.3)
, t = 0+ , t = 0- . , , , .
, . . , . . , uC(0+) = 0 iL(0+) = 0, , . .
, , . t = 0+.
:
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n- :
,(1.4)
i(t) - ; f(t) - , , .. .
. (1.4) :
i(t) = i(t) + i(t). (1.5)
, (1.4) f(t) = 0:
(1.6)
(1.6) , (1.6) k - pk. .
pn + bn-1pn-1 +........... +b1p + b0 = 0(1.7)
n pk :
, (1.8)
Ak - .
(1.8) pk. (1.8) n .
, (1.6) , , .. . , . , i(t) . .
i(t) (1.5) (1.4) ( ). , . , f(t) - , . , , , .
, t i(t) i(t). ( ) ( )
i(t) = i(t) (1.9)
, , , .
.
1. iLk(0+) uCk(0+) .
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2. .
3. . n- , n , .
4.
(1.10)
i(t)=i(t) - () ; pk - ; Ak - , .
3. r, L
1. iL(0-)=0
2. i=E/r
3. a)ri+Ldi/dt=E b)z(jw)=r+jwL
Lp+r=0 jw p
p=-r/L z(p)=0
0=pL+r p=-r/L
iL(t)=Aept
4. iL(t)=i+i(t)=E/r+Aept
iL(0)=E/r+A 0=E/r+A
5. iL(t)=E/r(1-e-rt/r)