# Электротехника. Часть 1. Электрические цепи

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• - ,

1.

- 2005

• 1.

- 2005

• 621.3 .., .., ., .., . . /

1, . : , 2005 41 .

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1.

(.1.1) , , -, , .

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- 100-101. "" "" . "1" "1" - -

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• (), 1 10, 1.1, 4830, 567 5025. , - . - " " .

"1" "" , - I .

"" "1" - R0, .

- 1-83. 1.1 - "Y1" (t), "Y2" - u(t) (.1.2).

2.

- , - , - 1.1. - , , - 1.1. , - .

3.

9 . - 1.1 - . - "-" . - "" " " U -, . - I .

• .1.1. 1.

I = U/z: R = R1; X = 0; z = R1; = artg (X/R) = 0.

2.

I = U/z: R =0; X = -xc; xc =1/C; z = xc; = arctg(-) = -/2.

3.

I = U/z; R = R; X = xL; xL = L;

z = RL)(RX 2222 +=+ ;

= arctg(X/R) = arctg(L /R). 4.

I=U/z: R=R+R1; X= xL; xL= L;

z= R1)(RL)(RX 2222 ++=+ ;

= artg(X/R)= artg(L /R). 5.

I=U/z: R=R1; X= -xc; xc=1/C;

z= R1C)(1/RX 2222 +=+ = artg(X/R)= artg(-1 /RC).

6.

I=U/z: R=R1+R; X= xL -xc= L -1/C;

Z= ( ) R1)(R C 1/-LRX 2222 ++=+

= artg(X/R)= artg[(L -1 /C)/(R+R1). 7.

I=Uy: g=1/R1; b= -bc; bc = C ;

y= ( )1/R1C)(bg 222 2+=+ = artg(b/g)= artg (-C R1)

8.

I=Uy; y= bg 22+ ; g=g1+g; b=b1+b;

g1=1/R1; g=R/[ R2+(L)2]; b1=0; b= L /[ R2+(L)2]; = artg(b/g).

9.

I=Uy; y= bg 22+ ; g=g1+g; b=b1+b;

g=R/[ R2+(L)2]; b= L /[ R2+(L)2]; g1=R1/[ R12+(1/C)2]; b1= -1/C [ R12+(1/C)2]; = artg(b/g).

1 1 R1

1 1 R L

1 1 R L R1

1 1 C R1

1 1 C R1 R L

1 1 C

1 1 C

R1

1 1 R L

R1

1 1 R L

R1 C

• - - , 1-83. - , 1.2. = 180h/h, h - , - , h - - .

, .1.2, > 0, - < 0. - 1.2. 1.2

R1 R L U I I

1 2

. .. 9

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u(t)

(t)Um

Im

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• 1. . 2. . 3. 1.2. 4. ( -

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5. .

. I - , 1.1., ; z,R,X- , ; y,g,b - , -; xc,bc -; xL,bL .

• 2

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-

, . - .

1.

1.1. - , . - .

1.2. -. .

2.

, 1. - 1 "1" "1" (.1.1) , , - 2.1, 2 - , 2.2.

3.

.2.1 .2.2

1 1 C R1 R L

V1 V2 V3

1 1 R L

R1 C

1

2

• 3.1. 1 .

- , 2.1, - , "1" "1" (.1.1). : R1 = (50 100) , L = (50 110) , C = (0.5 1) .

- , f0 , f0 = 1/ 2LC .

- "" , V 10 30 .

- U, .

- f0 I0, UR10, - U0 , Uc0. 0. - 2.1. V1, V2 V3 ( . 2.1), - - , 1.

- 8-10 I(f), (f), UR1(f), U(f) Uc(f) 0.5 f0 1.5 f0, U - 2.1.

2.1. U= R1= R= L= C=

f0= Q= f0= Q=

f,

I, UR1, U, U, I, UR1, U, U, (f0)

-

• , 6 1.1. UR1, U Uc 1.1. Q Q -

Q=/(R1+R) Q= Uc0/U, = CL - -

.

3.2. 2 - , 2.2 , -

, "1" "1" (.1.1). : R1 = (50 100) , L = (50 110) , = (0,5 1) .

- ,

f0 =0/2, 0 =22

2

2

R1

RLC1

.

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- U, .

- f0 I0, I10, I20 0 . 2.2. I10 I20, 1 2, - - , 1.

- 8 - 10 I(f), (f), I1(f) I2(f) 0.5 f0 1.5 f0, - U - 2.2.

-, 9 1.1. I1, I2 - 1.1.

• 0

0

22LCRR1

L Q

+= .

Q - 2f - I(f), .

2.2

U = R1 = R = L = C =

f0= Q= f0= Q=

f, I, I1, I2, I, I1, I2,

(f0)

1. . 2. . . 3. I(f), UK(f), UC(f), (f) 1 . 4. I(f), I1(f), I2(f), (f) 2 . 5. . 6. .

• 3

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6-15.

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2.

2.1. . 2.2.

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3.

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3.1.1 6-7

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. 3.2,

.3.2, .3.2,

- U. - , f0 . - . - -. 3.1. - r = U / I0, xL = UC0 / I0, L = xL / 2f0 3.1.

3.1

M C I

0 U UC0 f0 r L

6-7 1-2

3.1.2 1-2

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3.2 .

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r1

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6

r2

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1

r1

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1

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V1 1

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r1

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1

r2

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1

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1

• .3.3

- (. 3.3) (. 3.1). - f. - U2. - 3.2.

3.2

M f I U1 U2 M K

-

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- 3.2. . L1 L2 3.1. , , .

3.3 - .

. - (. 3.4,), - 7 2 1, 1

. 3.4,a . 3.4,

- I f . - U U1 U2 . 3.4. - (.3.4,), 1 2 (.3.4,). - 3.4. - -,

.21 LL

MK

= = U2 / 2f I,

z U I1 1= / ; x z r 1 12

12= ; L x f

1 1 2= / ;

z U I2 2= / ; x z r 2 22

22= ; L x f

2 2 2= /

r1

L1

M

1

r2

L2

6

7 2

V2 V1

r1

L1

M

2

r2

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6

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• r, L, M 3-1, 3-2. - 3.4 , - L1=L1M, L2=L2M, - , .

3.4

M f U1 U2 U I L1 L2 L1 L2

7-2 7-1

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4.1 S, Z = z ej, Y = y e-j,