chuyen doi so phuc dung may tinh ca nhan121
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Mạch điện (máy tính)TRANSCRIPT
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12.2 Phng phap anh phc
Moi ai lng ieu hoa se c bieu dien bang 1 so phc (anh phc)
2.2.1 So phc
Mot so phc C co the c bieu dien di cac dang sau:
j: n v ao j 2 = -1
a: La phan thc cua so phc a= ReC Re: Real
b: La phan ao cua so phc b= ImC Im: Imaginary
C a jb
V du: C = 6 + j8.
6: La phan thc cua so phc C
8: La phan ao cua so phc C
Dang ai so
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C = a + jb (Descartes) th C co the bieu dien dang cc la:
Dang cc
C C
2 2
cos
sin
C m
C a b
a C
b C
barctg
a
Vi la oun
=
=
=
la argument hay goc
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C = a + jb
Dang lng giac
Cong thc Euler
eJ = cos + jsin
Dang Mu:
A = a + jb = C (cos + jsin) = C eJ
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Cac phep tnh ve so phc.
C1 = a1 + jb1.
C2 = a2 + jb2.
Phep cong: C1 + C2 = (a1 + a2) + (b1 + b2)j
Phep tr: C1 - C2 = (a1 - a2) + (b1 - b2)j
Phep nhan:C1.C2 = (a1a2 - b1b2) + (b1a2 + a1b2)j
Phep chia :
2
C
C1 1 2 1 2 1 2 1 2
22 2 2
(a a b b ) + (b a - a b )j=
a + b
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5 Phep nhan, phep chia dung dang cc:
1 1 1 1 1
2 2 2 2 2
1 2 1 2 1 2
111 2
2 2
C a jb C
C a jb C
C C C C
CC
C C
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V du
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72.2.2 Bieu dien ai lng ieu hoa bang so phc.
( ) sin( ) ( )
( ) sin( ) ( )
( ) sin( ) ( )
( ) sin( ) ( )
m i m i
m u m u
m e m e
m j m j
ai lng ieu hoa ai lng phc
i t I t I I A
u t U t U U V
e t E t E E V
j t J t J j A
V du
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Cach s dung may tnh e chuyen oi So Phc (Casio FX 500MS, fx570ES)
Pol ( 6 , 8 ) = 10
Ket qua
Alpha tan = 53,1
6 + 8j = 10/53,10
Chuyen oi dang Descartes sang dang cc
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10/53,10= 6 + 8j
10 shitf - 53,1 = 6
Ket qua
shift [( = 8
Chuyen oi dang cc sang dang Descartes
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May tnh Casio fx 570MS
03 4 5 53,13j
Chuyen sang ON - CPLX
Chuyen oi dang Descartes sang dang cc
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May tnh Casio fx 570ES
Chuyen may tnh sang tnh toan so phc: MODE - 2 - CMPLX
Chuyen oi dang cc sang dang Descartes
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Chuyen oi dang Descartes sang dang cc
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The set of equations can be arranged in matrix form, as shownin equation A.6.
HE 2 PHNG TRNH
11 12 1 1
21 22 2 2
a a b
a a b
x
x
11 12
11 22 12 21
21 22
det ( )a a
A a a a aa a
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AP DUNG NH LUAT CRAMER
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HE 3 PHNG TRNH
1 111 12 13
21 22 23 2 2
31 32 33 3 3
x ba a a
a a a x b
a a a x b
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P847 Fundermantal of Electric circuit
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1 12 13
2 22 23
3 32 331 det( )
b a a
b a a
b a ax
A
11 1 13
21 2 23
31 3 332 det( )
a b a
a b a
a b ax
A
11 12 1
21 22 2
31 32 33 det( )
a a b
a a b
a a bx
A