, .. . , , . , . f(t) , ,

,

(1)

p = a + jb - , F(p).

f(t) , F(p) - .

,

(2)

p, F(p).

(1) (2) . 1.

1.

C

C/p

t

1/p2

.

F(p) ( )

.

(3)

, n < m ,

,

(4)

pk - F2(p) = 0.

Ak. (4) (p - p1)

(5)

p = p1 (5) A1, , .. F2(p1) = 0. ,

(6)

, (4) F2(p) = 0.

.

(7)

F(p) (7). F1(pk)/F2'(pk), 1/( p - pk), (. 1) epkt.

.

(8)

(8) . .

.

(9)

.

2

Af(t)

AF(p)

- n- .

, , , p, - .

L C. .

. 2,

,

(10)

i(0) - . pL L. Li(0) . , Li(0).

2

,

(11)

uC(0) - . 1/(pC) (11) C. .

R. R.

(10) (11) . , . 3.

3.

u = Ri

U(p) = RI(p)

U(p) = pLI(p)- Li(0)

, , 3, , .

, . 1 ). , .

, , , . 1 ).

, , , ( 2), a b

Z(p)=R+pL+1/(pC) . , , p jw .

.

(12)

(12) . , , .. . (12)

.

(13)

. , , ,

.

(14)

, . , ,

(15)

q w - . , . , , , .

, , . . :

  1. ;
  2. , ;
  3. ;
  4. ;
  5. .

. 2 ) , E = 100 , R1 = 20 , R2 = 5 , L = 100 , C = 10 .

S , , , , . 2 ).

,

b2 = R1LC; b1 = L+R1R2C; b0 = R1+R2; a2 = LC; a1 = R2C.

I1(p)

, , , , ,

p1 = - 261 p2 = - 4789. , 3t 1 = 3/261 = 11.5 .

(9). i1

.

,

Z2(p) = R2+pL Z3(p) = 1/(pC) . I1(p), I3(p)

, ,

,

, i3 5.0 , . i2 , 4.0 . 5.0 4.0 .


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, "" - , "" - ( ) .

( , - ) ( , ). FAQ .


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