eth markovic
DESCRIPTION
elektrotehnikaTRANSCRIPT
-
1.) C4=1Q C1=2Q cm60=a . 3Q
1Q 2Q 1.1, ()
.
1.1
: 1Q 3Q , 3Q 2Q
-. 1.2
3Q .
1.2
13Fr
23Fr
3Q , ,
3Q , .
13Fr
23Fr
.:
2
322
31
2313
)x(QQ
kxQQ
k
FF
=
=
a
rr
. (1.1)
,
. (1.1) :
22222
122
212
221 x)x06(4x)x(
QQxQ)x(Q
)x(Q
xQ ==== aaa . (1.2)
-
1.2 04800x160x 2 =+ : cm40x1 = cm120x 2 = . 3Q 1Q 2Q , 60 cm, cm40x1 = .
2.) 50 cm.
5r = ?
:
: 2VAZDUH
21VAZDUH r
QQkF =r 2ULJE
21
rULJE r
QQkF =r
.
:
cm36.22cm500r
rr1
r1
r
2VAZDUH
ULJE2ULJEr
2VAZDUH
==== . (2.1)
3.) C2,C1 == 21 QQ C1=0Q 3.1. ,
cm3r = .
3.1
: 0F
r 10F
r 20Fr
3.2, 10Fr
20Fr
.
-
3.2
:
N20
m109C101C102
CNm109
rQQ
kF
N10m109
C101C101C
Nm109rQQ
kF
24
66
2
29
202
20
24
66
2
29
201
10
===
===
r
r
. (3.1)
,
:
N36.22510400100FFF2
20
2
100 =+=+=rrr
. (3.2)
3.1, . 3.2 :
o10
2044.63rad1071.1)2(arctg2
F
Ftg ===== r
r. (3.3)
2Fr
2Q 02Fr
12Fr
3.3, .
3.2
-
:
( ) N10m1018 C101C102CNm1092rQQ
kF
N20m109
C102C101C
Nm109rQQ
kF
24
66
2
29
221
12
24
66
2
29
220
02
===
===
r
r
. (3.4)
o45 , 12F
r
XFr
YFr
:
N2545cosFFF o12YX ===rrr
. (3.5)
, 02Fr
YFr
V2Fr
. 02Fr
YFr
:
( ) N27N2520FFF Y02V2 +=+= rrr . (3.6) H2F
r XF
r. 3.3
.
3.3
:
( ) N28779729502725FFF 222V22H22 =+=+=+= rrr . (3.7) 3.3, . 3.2 :
oV
H67.14rad256.0)
2725(arctg
2725
F
Ftg ===== r
r. (3.8)
-
3.4 , 1Fr
.
N4.18F1 =r
o6.22rad39.0 == .
3.4
4.) Q
, 4.1. 0Q
?
4.1
:
:
22
2132312QkQQkFFFaa
==== rrr (4.1)
4.2. 1Fr
, 2Fr
3Fr
,
4.2.
-
,
.
4.2
:
22
2
2o
2
2
321kQ3
23Qk230cosQk2FFF
aaa===== rrr . (4.2)
, ,
0Q ,
.
, ,
,
. 4.3
0Q .
4.3
-
: aahl33
23
32
32 === ,
h . 0Q
:
Q
33QQ3Q3Q3
93Q
kQ3l
QQkkQ3FFFF
0022
0
2
2
20
2
2
321QQ0
===
=====
aa
aa
rrrr
. (4.3)
0Q 3Q , ,
, .
5.) Q1=Q Q2=9Q je 9 cm.
?
: 5.1
C r1 .
5.1
, C
,
. :
081188
18819)9(
919
12
1
211
212
12
12
22
121
=+
+====
rr
rrrrrr
QkrQkEE
rr. (5.1)
r1=2.25 cm r2= - 4.5 cm,
.
-
6.) Q=10 pC. UBA
6.1.
:
:
V100
10910109
36V10259
102510109
4
119
24
119
===
====
BB
AA
rQkV
rQkV
(6.1)
: V64== ABBA VVU .
7.) ) S=120 cm2 d=0,5 cm.
.
) S=100 cm2
C=50 pF,?
) C=100 pF 7r = . d = 0,5 cm ?
:
a) )
)
-
8.) 8.1 :
) P;
) P.
: C1=1pF, C2=2pF, C3=3pF C4=4pF.
8.1
:
) 8.2.
8.2
C1 C3, C2 C4 :
C13 i C24 :
) 8.3.
-
8.3
C1 C2, C2 C4, :
C12 C34:
9.) 9.1, 9.2 9.3.
)
F2C =
9.1
)
nF2.1CpF600CCC
pF300CC
6
543
21
====
==
9.2
)
pF1CCpF3C
pF4C,pF2C
54
3
21
===
==
9.3
: ) F25.1eC = ; ) pF480eC = ; ) pF1eC = .
-
10.) C 0,75mm.
, 1,8mm,
. .
:
2r02
101
dSC
dSC
=
= 4.2
75.08.1
dd
dS
dSCC
1
2r
2r0
1021 ===== .
11.) CAB 11.1 11.2.
)
11.1
)
11.2
:
) 11.1 ,
. D E,
11.3. ,
. B D.
11.4.
C3CCCCAB =++= .
11.3
11.4
-
) 11.2 11.5.
2 :
C56
C3C2C3C2CAB =+
= .
11.5
12.) 12.1 : nF3C,nF2C,nF4C 321 === , V18U = . a) 2C .
) 3C 2C ?
12.1
:
)
. 1C 2C ,
.
nF6CCC 2112 =+= . 12.2.
-
12.2
12C 3C U , 12U 3U
,
Q. :
QUCUC18UUU
331212
312
====+
.
: V12U,V6U 312 == . nC12V6nF2UCQ 1222 === .
) 2C 3C V12U3 = . 2C , 12U
. , .
V18UU 3 == . 12.3.
12.3
-
13.)
: F6C,F5C,F4C,F3C,F2C,F1C 654321 ====== V100E1 = . )
13.1
)
13.2
)
13.3
:
) :
13.4
F920
CCCC
C54
5445 =+
=
13.5
F947CCC 453345 =+=
13.6
F15094C
F94150
C1
C1
C1
C1
e
34521e
=
=++=
45C 3C , .
13.5 ,
13.6.
13.6
-
21 C,C 345C :
V1591800
1594700
4718U
4718U
V1599400U2U
V1594700U
V100EU4718UU2
U4718U
CC
U,U2UCC
U
EUUUUCUCUC
2345
21
2
1222
22345
234522
1
21
134521
3453452211
===
==
=
==++
====
=++==
.
, 13.7, V1591800UU 3453 == .
13.7
, :
V1591000U
V159800V
1591800
94U
V1591800UUU
45
U45U
CC
U
UUUUCUC
4
5
34555
554
54
34554
5544
=
==
==+
==
=+=
.
-
) :
13.8
F11CCC 6556 =+=
13.9
F1544
CCCC
C564
564456 =+
=
13.10
F1589CCC 45633456 =+=
13.11
F28289C
F89282
C1
C1
C1
C1
e
e21e
=
=++=
13.12,
13.10, .
13.12
13.12 :
-
V297
3000297
89008930
2U8930
3456U
V297
178002U21U
V297
89002U
V1001E2U8930
2U2U2
2U8930
2U3456C
2C3456U,2U22U
1C2C
1U
1E3456U2U1U3456U3456C2U2C1U1C
===
==
=
==++
====
=++==
.
13.8 13.13
: V297
3000UU 34563 == .
13.13
4C 56C :
V2972200
4U
V297800V
2973000
154
56U
V297
30003456U56U56U4
11
56U411
56U4C
56C4U
3456U56U4U56U56C4U4C
=
==
==+
==
=+=
, 5C 6C , :
V297800UUU 5665 === .
) V97
11806U,V97
8405U,V97
6004U3U,V97
14402U,V97
70801U,F485
354eC ======= .
-
14.) Q1 Q2 C1 i C2 14.1
S 1 2.
.
14.1 : S 1, C1
14.2. C2 U,
UCUCQ 222'2 == .
2, , C1
C2. 14.3 12U .
,
'2Q .
:
UCCCCQ
CCQ
UCC
CQ
UCQ)C
CC(Q)1
CC
(QQCC
QCC
Q
UCQQQ
UCQ
CQ
21
21''2
2
1''1
21
22''
2
2''2
2
21''2
2
1''2
''2
2
1
''2
2
1''1
2'2
''2
''1
122
''2
1
''1
+==
+=
=+=+=+
=
==+==
14.2
14.3
-
15.) C1=2F C2=1F Ud1=40V Ud2=36V. .
:
15.1.
:
U32U,U
31U
U2U
UCUCUUU
21
12
2211
21
===
=
=+
15.1
1C , . V40UU 1d1 == . 2d12 UV80U2U >== . , .
V36UU 2d2 == , 1d21 UV182UU
-
16.1
:
,
: 11 UCQ = 22 UCQ = , )UU(CQ 21
'uk += .
16.2.
12U . ,
,
. :
V802
V1602
UUU
)UU(CUC2UCUC
)UU(CQQ
QQ
2112
21121212
21''
2''
1
''uk
'uk
==+=
+==+
+=+=
16.2
80 V.
17.) U=1000V.
, ?
:
'C 'U
'0'' U
dSUCQ == .
,
d2
SC 0''
= . : '''''' UCUCQ == . :
VUUUd
SUdS 20002
2'''''
0'
0 ===
-
.
18.) C1 U1=100V.
C2=1,5F 40V. C1.
17.1
:
1C V100CQ 1' = .
40 V,
V100CQ 1' =
. : V40CV40CV100CQQ 211''' +== .
F1C3/2C 21 == .
19.) 2mm, 1m
0.5 mm2/m, 10 .
U=2V.
10 ?
:
: == 159.0SlR .
:
-
A56.12RUI == .
,
: tQI
= . 10 : C6.125s10A56.12tIQ === .
20.) 20.1 : R1=10, R2=4 , R3=6 , R4=12 ,
U=12.2V.
) .
) .
) ?
20.1
:
) 2R 3R =+=
1024
RRRR
R32
3223 .
231 R,R 4R
=++= 4.24RRReR 4231 . 20.2 20.3.
20.2
20.3
-
) 20.2 231 R,R 4R .
I :
IRU,IRU,IRU 44232311 === . 231 R,R 4R
, .
V2.12UUUU 4231 ==++ . I:
A5.04.24
V2.12RRR
UI
UI)RRR(UIRIRIR
UUUU
4231
4231
4231
4231
==++==++=++
=++
.
: V6IRU,V2.1IRU,V5IRU 44232311 ====== . 2R 3R ,
V2.1UUU 2332 === . 1R 4R A5.0III 41 === , 2R
A3.04
V2.1RUI
2
22 === , A2.06
V2.1RU
I3
33 === .
20.1.
) 20.3:
W1.62A25.04.242IeRukP === .
21.)
21.1, 21.2, 21.3 21.4.
-
)
=======
200R,100R,60R,300R150R,50R,60R
7654
321
21.1
:
FCR,CDR,BFR,BDR,BCRDFR,AFR,ADR,ACR,ABR
)
=====
180R,120R100R,150R,k3.0R
54
321
21.2
ABR .
)
21.3
ABR .
)
21.4
ABR .
:
a)
ABR ACR
=+= 50
RRRRR
54
5445
-
=+= 50
RRRRR
54
5445
=+= 100RRR 452245
=+= 100RRR 452245
=+= 60
RRRR
R2453
24532345
=++= 220RRRR 623451AB
=+= 60
RRRR
R2453
24532345
=+= 160RRR 62345AC
BCR BFR
=+= 50
RRRRR
54
5445
== 60RR 1BC
=+= 100RRR 452245
-
=+= 60
RRRR
R2453
24532345
=++= 320RRRR 723451BF
====== 260R,40R,100R,240R,550R,140R FCCDBDDFAFAD
)
=+= 300RRR 5445
== 50R||R||RR 45322345 =+= 350RRR 23451AB
) 3RRAB = .
) R3RAB = .
22.)
22.1 22.2.
22.1
22.2
-
:
) D.
,
. :
, .
I
R4R2
R2RR2RadR
R4R2
R2RR2RbdR
R8R
R2R2R2R2abR
=++=
=++=
=++=
R34
R2bdR
R2bdR2R
R34
R2adR
R2adR1R
=+=
=+=
R212RabR12RabR
ABR
R38
2R1R12R
=+=
=+=
-
II CDB
R52
RR2R2RR2
cR
R52
RR2R2RR2
dR
R54
RR2R2R2R2
bR
=++=
=++=
=++=
R5
12cRR22R
R5
12dRR21R
=+=
=+=
R2bR12RABR
R1012
2R1R2R1R
12R
=+=
=+=
)
=+=++=
=+=++=
=+=++=
33500
1R
22R
2R21R
22R
2R2RcR
35002R1R22R
2R1R2R1RbR
35002R1R22R
2R1R2R1RaR
-
=+=
=+=
22.97bRRbRR
yR
25.656cR1RcR1R
xR
=+
=
=+=
620xyRaRxyRaR
ABR
472.753yRxRxyR
23.) 23.1 . E1=10V, E2=20V, E3=30V, E4=40V,
E5=50V, I1=5A, I2=4A, I3=3A, I4=2A, R1=5, R2=3, R3=1 R4=10.
: ACU,FCU,FAU,EAU,EDU,BDU,ABU .
23.1
-
:
V173E2I2RABUACU
V335EEDU4I4RFCU
V50FAU
V30EAU
V37EDU
V324E3I3R4I4R5E1E1I1R2E5E3E2I2RBDU
V352I2R3E5E4E3I3R4I4R5E2E1I1R1EABU
=+==+=
==
==+++=+==++=++=
24.) 24.1 : R1=200, R2=100, R3=10, E1=60 V, E2=48V, E3=6V. :
) ,
) .
24.1
)
A6.0I,A36.0I,A24.0I
42I110I1012I100I200
42I10I10012I100I200
III
0IREIRE:K0EIREIR:K
0III:
321
21
21
32
21
321
3322232
1222111
321
===
=+=
==
=
=+=+
=
-
)
A6.0II,A6.0III,A24.0II
A6.0I,A24.0I
42I110I10012I100I300
)EE(I)RR(IR)EE(IRI)RR(
EIRIREIRIR
II3
III2I1
III
III
III
23II32I2
12II2I21
IIII22I21
III12I11
===+===
==
=+=
=++
=+
=+=+
25.) 25.1 : R1=12, R2=50, R3=10, R4=8 E1=6V, E2=3V, E3=1V. :
) ,
) .
25.1
:
)
-
A1.0I,A1.0I,A2.0I
5I10I309I50I20
5I10I209I50I20
III
0IRIREIRE:K0IREIREIR:K
0III:
321
21
21
31
21
321
111433312
142221111
321
===
=+=
==
=
=+++=+
=
)
A1.0II
,A1.0II,A2.0IIIA1.0I,A1.0I
5I30I209I20I70
)EE(I)RRR(I)RR()EE(I)RR(I)RRR(
EIRIREIRIR
II3
I2III1
III
III
III
31II431I41
21II41I421
IIII22I21
III12I11
=====+=
==
=+=+
+=++++=++++
=+=+
26.) U=200V Imax=5A.
R0=15. R=200 , .
26.1.
-
:
8nIU
nRR
nRR
UI
nRR
UR
UI
nRRRRR
nRR
Rn
R1
R1
R1
R1
maxmaxmax
0
max0
max
0UK
0SIJALICA0UK
SIJALICA
sijalicanSIJALICA
==+
+=
+==
+=+=
==+++=44 344 21
L
.
27.) 27.1?
27.1
: A0I = .
28.) 28.1 :
.10R,20R,10R,A5.0I,V24E 321S1 ===== )
.
)
.
-
28.1
:
)
A5.0II
A65.0A2013I
A15.0A203I
III
A5.0II0IRIRIRE:K
0III:
S3
2
1
S12
S3
1123121
321
====
==+=
==
=+++=+
W75.9IIRIUP S23SII SS === .
)
A203A
609I
95.03024I60)E(IRI)RRR(
A5.0II
EIRIREIRIR
I
I
1S3I321
SII
IIII22I21
III12I11
====
=+++
==
=+=+
-
A5.0IIIA65.0III
A15.0A203II
SII3
III2
I1
====+====
W675.12IRP
W45.0IRP
W225.0IRP
W6.3IEP
223R
212R
211R
11E
3
2
1
1
========
29.) ) 29.1
AIAIRRRRVEVEVE gg 8,12,30,20,40,50,30,30,5 215431432 ========= .) 29.2
.
29.1
29.2
) ,
,
29.3.
.
-
29.3
:
AIIIIIIII
EEEIIIIRRRgIRRgIR
AgIIII
AgIII
IIIEIIIIRIIIRIIR
AgIIII
AgIII
5.053030908501230
234)543(2)45(15
82
121
333231
82
121
==++
=+++++====
=++
====
.
:
AIIIIIIIAIIIIIIIIIIAIIIIIIII
AIIIIIAIIIIAIII
5.116,5.35,5.84
5.03,82,121=====+=
======.
) 4 6 , 3
3 . ,
, , .
29.4
3 2 :
-
0:0:
0:0:0:
336612
44451221
631
532
421
11
==
=+=++=++
=
IRIRIRIREIRK
IIICIIIBIII
II g
29.4
,
,
,
.
29.5 :
29.5
IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIgII
EIIIIRRIIR
EIIIRRRIIRgIII
IIIEIIIIRIIIRIIRIIEIIIIRIIIRIIR
gIII
=+===+==
=++
=+++=
=++=++
=
6,5,4
,3,2,11
1)63(3
1)542(2
1
333231
232221
1
-
30.) 30.1 30.2 je :
FCRRRVU 1,15,5,10,300 354 ===== . , .
30.1
30.2
:
) ,
30.3.
30.3
ARRR
UI 1030
300
354
==++= . :
VIRUVIRUVIRU 150,50,100 335544 ====== .
R5 R3:
VUUU C 20035 =+= ,
-
CVFCUQ CC 2002001 === . ) 30.4 :
CQVUUVUVUVUAI CC 50,50,150,50,100,10 5354 ======= .
30.4