Метода по ТОЭ 1112

i,uC

)

u

uC

U U

i

r

t

0

u

-U

-U

0

i

r

i1= i2 + iC ,

(10.7)

i1 r1 + i2 r2 = U ,

(10.8)

i

r -

1

i dt 0 .

(10.9)

C

2

2

C

:

i =

U

;

i = i ;

i = 0 ;

r

r

1

2

i = p1t ;

i = p1t ;

i = D p1t

;

i1 = i

+ i ;

i2 = i + i ;

iC = i + i .

U

1

V1

r

1

i2

2

pC

0 ,

Z (p) =

r1 +

r1

r2

1

PC

uC

r2

r1 r2

1

p1 = -

,

(10.10)

iC

i1

r r C

1

2

. 10.3.

r1r2C

-

=

r1 r2

.

U

t

i1

=

Ae

,

(10.11)

r1

r2

U

t

i2

=

B e

,

(10.12)

r1

r2

iC = D e

t

,

(10.13)

t=0

i ( 0 )

U

A ,

1

r1

r2

i ( 0 )

U

B ,

r1

r2

2

i ( 0 ) D .

U

uC ( 0 )

U

i1(0+) =

,

r1

r1

i2(0+) =

uC ( 0 )

0 ,

r2

U

iC(0+) = i1 (0+) - i2(0+) =

.

U

U

r1

U

U

:

A

,

,

D

.

r

r r

r

r

r

1

1

2

1

2

1

i1(t) =

U

( 1

r2

e

t

) ,

(10.14)

r

r

r

1

2

1

U

t

i2(t) =

( 1

e

) ,

(10.15)

r

r

1

2

U

e

t

iC(t) =

.

(10.16)

r1

i1

U

U

i2

r1

r1

r2

iC

t

0

t

. 10.3

10.3

U,

r1,

r2,

C,

. 10.3

10.4

t, c

i1,

i2,

iC,

0

.

.

.

i ,

i ,

i ,

i1(0+) ,

i2(0+) ,

iC(0+) ,

,

3.7.

r, C

u C(t).

3.8.

,

. 10.3 .

11

r , L , C

:

r, L,C.

1.

,

r,

L ,

L

U

.

11.1)

r

ur

uL

.

U

uC

C

:

i

u r + u L + uC = U ,

di uC U .

. 11.1. r,

i r + L

L, C

dt

,

i = C duC ,

d 2u

dt

L C

C rC

du

C uC U .

(11.1)

dt 2

dt

2 +

r

p

1

0

L

LC

:

1= -

r ( r ) 2

1

,

2L

2L

LC

2= -

r

( r ) 2

1 .

2L

2L

LC

,

.

r 2

L ,

.

C

uC(t) = U -

U

( p1e p2 t p2e p1 t )

,

(11.2)

p1 p2

i(t) =

U

( e p1 t e p2 t

).

(11.3)

r 2

L

,

C

U

e bt sin( 0t ) ,

uC (t) = U -

(11.4)

0

LC

U

i(t) =

e bt

sin 0t ,

(11.5)

0 L

b =

r

,

0 =

1 (

r )2 ,

= arctg

0

.

2L

LC

2L

b

=

i( t )

ebT0 ,

(11.6)

2

i( t T0 )

0

=

- .

0

(11.4)

(11.5) ,

U

. t = (3...5)

,

0 L

=

1

-

.

b

.

50 .

r,

L, C.

uC(t)

I II)

i(t),

r

II

).

T

2