, . , .

. , . , . , , , , . ( ) .

. 1 S (. 1). ( t = 0- )

i1 = i2 + i3 ;

uR1 + uR2 + uL = E = i1R1 + i2R2 + uL ;

uR3 + uC = uR2 + uL .

E = const , i3 = CduC/dt = 0; uR3 = i3R3 = 0 uL = Ldi2/dt = 0. i1 = i2 i1 = i2 = E/(R1 + R2). uR1 = i1R1 = ER1/(R1 + R2) uR2 = i2R2 = ER2/(R1 + R2), uC = uR2.

i1 = i2 + i3 ;

uR2 + uL = E = i2R2 + uL ;

uR3 + uC = uR2 + uL .

( t = ), , i3 = CduC/dt = 0; uR3 = i3R3 = 0 uL = Ldi2/dt = 0. uR2 = E = uC , i1 = i2 = E/R2.

( t = 0+ ) i2(0+) = iL = i2(0- ) = E/(R1 + R2) uC(0+) = uC(0- ) = ER2/(R1 + R2) . uR2 = i2R2 = ER2/(R1 + R2). uL = E - uR2 = ER1/(R1 + R2), - uR3 = uR2 + uL - uC = ER1/(R1 + R2) = uL = i3R3 i3 = ER1/[(R1 + R2)R3]. i1 = i2 + i3 = E(R1+ R3)/[(R1 + R2)R3]

 

t = 0-

t = 0+

D (0)

t =

i1

E/(R1 + R2)

E(R1+R3)/[(R1+R2)R3]

ER1/[(R1 + R2)R3]

E/R2

i2

E/(R1 + R2)

E/(R1 + R2)

0

E/R2

i3

0

ER1/[(R1 + R2)R3]

ER1/[(R1 + R2)R3]

0

uR1

ER1/(R1 + R2)

0

- ER1/(R1 + R2)

0

uR2

ER2/(R1 + R2)

ER2/(R1 + R2)

0

E

uR3

0

ER1/(R1 + R2)

ER1/(R1 + R2)

0

uL

0

ER1/(R1 + R2)

ER1/(R1 + R2)

0

uC

ER2/(R1 + R2)

ER2/(R1 + R2)

0

E

, (D (0)=0) i2, uR2 uC. . D (0), , D i1 = D i2 + D i3.

D uR1 + D uR2 + D uL = 0 ;

D uR3 + D uC = D uR2 + D uL.

(L-C) L R3 , uC .


. , , , .

, ( - , - ). :

. 2 ). . 2 )

i3 i3 = i1 - i2. ,

.

, . i2

.

pk,

(1)

, () . 2 ),

.

jw p ,

(2)

(1).


. , . , . , . .

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t . , . , t . , 5% . t = 3t . , . pk ( ) , .. t max= 1/|Re[pk]| .

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