09 Εναλλασσόμενη Τάση_13
description
Transcript of 09 Εναλλασσόμενη Τάση_13
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. 1
V=V0sint
o n .
. 50 Hz.
n .. . .
=2f f V0
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. 2
.
.
.
tcosRIvR
VI
tcosR
VRvi
tcosVvv
R
R
R
0
00
0
0
=
=
==
==
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P=I2R
00
00
70702
70702
V,VV
I,II
==
==
RIdt))tcos((RI
dttcosIRdtIRW
T
TT
200
20
2
0
200
2
2121
21 =-
===
2t
RIP 2=
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/4, -
-/2
)tsin(L
Vi
tcosL
VdttsinL
VitsinVdtdiL
dtdiLv
L
L
20
000
0
-=
-===
=-
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/2
)tsin(CVi
tcosCVdtdQi
tsinCVQtsinVCQ
tsinVv
C
C
C
20
0
00
0
+=
==
==
=
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R-L-C
/2
/2
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R-L-C
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,
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R-L-C
LC
CLXX
)XX(RVI
Z/VI
CL
CL
110
00
22
===
-+=
=
RVP
)(LRRVP
)(
L)C
L()XX(
)XX(RRV
ZRVRIP
CL
CL
2
0
220
2222
22
220
22
222
22
2
2
22
1
==
-+=
-=-=-
-+===
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cosVIP
cosVIP
)tsin(
)tsin()tcos()tsin(
)t((sin
)sin)tcos()tsin(cos)t((sinVIPsin)tcos(cos)tsin()tsin(
)tsin()tsin(VIP)tsin(IitsinVv
ivP
av
av
=
=
=
=
=
-=-=-
-=-==
=
21
02
221
21
00
2
200
00
00
cos
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1. R, L, C . , . R, L, C Ohm. R=250 , L=0,6 H, C=3.5 F, =377 s-1, V0=150 V.
2. (R=900), (C=0,25F) (L=2.5 H) f=240 Hz V0=140 V. ) , ) ) . ) ;
3. , ) ; ;
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4. RLC , Irms=9 A,
Vrms=180 V 37 0. ) ; ) ( Xl-XC) .
5. RLC , . ) ; ) ; ) Pav=1/2VrmsIrms Vrms Irms ; ) R, ;
6. (R=68), (C=99F) (L=160 mH) v(t)=40sin(100t) V. ) , ) ) . ) i(t). .
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o .o o
tieVV 0=)tsinjt(cosVV += 0
: .
RLLRZ
LjRtitZe
LjRVti
LjRVkVLkjRk
eVteLkjRke
keieVdt
tdiLtRi
tj
tjtjtj
tjtj
wqw
wuw
ww
w
w
www
ww
=+=
+==+=
+==+
=+
==+
-1220
0
00
0
0
tan,)(
,)()()(
,)()(
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o .
RCtan,)C(RZ
,CjRZ
CjR
eV)t(i,
CjR
Vk
VCj
kkReVkeCj
Rke
kei
eVdt)t(ic
)t(Ri
tj
tjtjtj
tj
tj
11
1
1
1220
00
00
0
-=+=
-=
-=
-=
=+=+
=
=+
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)at(jj
)at(j
j
)at(j
eIeZ
eVZVI
eZZeVV
-++
+
===
==
00
0
0
0
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o
IZV
eIeZ
eV
)a(j
j
ja
-=
=-
220
0
0
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:R=5, L=2mH, V=150sin(1500t) .
:R=20, C=5F V=150sin(10000t)
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vC= (1/C)i0(-cost)vC=(1/C)idtC
vL= Li0costvL=Ldi/dtL
vR= i0RsintvR=iRR
i=i0sint
iL=(v0/L)(-cost)
iC= Cv0(cost)iC=Cdv/dtC
iL=(1/L)vdtLiR= v0/RsintiR=v/RR
v=v0 sint
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,
=1+2+3
1/=1/1+1/2+1/3