Click here to load reader
Upload
nydia
View
40
Download
5
Embed Size (px)
DESCRIPTION
電気回路第 1 第 10 回. 電気回路第 1 スライド 10-1. ーインピーダンスー. 目次(クリックすると移動します。). 2先週の復習 3 RLC 直列回路 4インピーダンス 5インピーダンスと位相. 6インピーダンスの直列接続 7逆数のアドミッタンス 8並列回路の Y と Z 9今日のまとめ. RLC 直列回路. RLC 直列回路の電圧は、 3つの素子の電圧の和で、. [. 1 ωC. ]. {. }. Ri. E =. R + j ωL ー. I. di. E. と電圧と電流の間の比例( ? )関係がでました。 - PowerPoint PPT Presentation
Citation preview
110
RLC
YZ110-1
j110-2-1110
j110-2-2110
j110-2-3100V110
j110-2-4jj100V110
RLCRLCjjjZZ110-3-1RLC1/j j
RLCRLCjjjZZRLC110-3-2Ri1/j j
RLCRLCjjjZZRI jLI j110-3-31/j j
RLCRLCjjjZZ110-3-4RLCRi+ jLI RIE = 1/j j
RLCRLCjjjZZ110-3-5RLC+ jLI RIE = jOKj 1/j j
RLCRLCjjjZZ110-3-6RLC+ jLI RIE = I1/j j ?ZE ZI
RLCRLCjjjZZ110-3-71/j j Z
ZZZZE=ZIZR110-4-1
ZZZZE=ZIZRE = ZI110-4-2Z
ZZZZE=ZIZRE = ZIE =ZIZRLC110-4-3RLC)Z
ZZZZE=ZIZRE = ZIRZE =ZIZZ110-4-4RLC)Z
110-5-1j90Ztan-1(X/R)
E=ZI 90 j 110-5-2j sincosj90Ztan-1(X/R)
j 110-5-3Zj90Ztan-1(X/R)
110-5-4j90Ztan-1(X/R)
110-5-5j90Ztan-1(X/R)
110-6-1ZZI+Z2I+Z3IZZ+Z2+Z3
110-6-2E Z1I+ Z2I+ Z3I+ ...ZZI+Z2I+Z3IZZ+Z2+Z3
Z Z1+ Z2+ Z3+ ...Z110-6-3I (Z1 + Z2 + Z3 + ...) IE ZIZZZZI+Z2I+Z3IZZ+Z2+Z3
110-6-4ZZI+Z2I+Z3IZZ+Z2+Z3
abZYZYYYZYZYZYI = YE110-7-1Y/ZE = ZIZ
ZYYYZYZYZYI = YEYY110-7-2Y/ZE = ZIZ
ZYZYYYZYZYZYI = YEZY110-7-3Y/ZE = ZIZ
ZYYYZYZYZYI = YEZY
110-7-4Y/ZE = ZIZ
ZYYYZYZYZYI = YE
110-7-5Y/ZE = ZIZ
ZYYYZYZYZYI = YE
110-7-6Y/ZE = ZIZ
YZYYE1/Z110-8-1YY
YZYYE1/Z I Y1E+ Y2E+ Y3E+ ...I YEY Y1+ Y2+ Y3+ ...110-8-2
YZYYE1/ZI YEY Y1+ Y2+ Y3+ .../R /R1+ /R2+ /R3+ ...Z/Z /Z1+ /Z2+ /Z3+ ...110-8-3
YZYYE1/ZI YEY Y1+ Y2+ Y3+ .../R /R1+ /R2+ /R3+ ...Z/Z /Z1+ /Z2+ /Z3+ ...110-8-4
ZLCZIEEZIZZ110-9-1RLCRL
ZLCZ
110-9-2RLCRLLC
ZLCZZ110-9-3RLCRL
ZLCZZ110-9-4RLCRL
11/jj1 !!0j2 1 j3 j1jj9090
2Z1 !!RZjX0Z1ZZZ=ZjZ1ZZ2jL1/jCjXZ=RjX
3ZZ1 !!ZZZ I 50 []
Z Z1 + Z2 + Z3 + ... + Zn Z1+Z2+Z3+ ... +Zn
4tan-1X/R) 1 !!tan-1(X/R)X/RLC90XX X00RXtan145(jL1/jCjXZ= R + jXZZ=ZjZ=Zj=Z(cos + jsin )R + jX=Zcos + jZsinR=ZcosjX=jZsin jX jZsin = R Zcos= jtan= tan-1(X/R)
5!!4ZZR =ZcosX =ZsinZ=ZjX/R = tan
jIjE= ZI=ZjIj=ZIjj=ZIjZ
jL
1
6RR ZRjX Y1/R+jXZRjX YRjX/R+jXRjXRjX/R2X2 YR/R2X2jX/R2X21/R2X2YZYZYZ!!YZZ1
7ZZY!!1 ZYYZZYYZZ
!!100 V 100100j1 [1] 100 [V][3] 100jt/12 t [2] jt/6 t t t t t t/6 d d[jt/6] = t/6jt/6 = jt/6 dt dt1 j 1 j j 1 (1) + 1 0j + + = = = 0 j j j j j
j 1 j j 1 2 + 1j + + = = 0 j j j j 1 t t t t/12 100 100jt/12dt = jt/12 Const. [2] di d L = L[10jt] = L10jt= L10jt = LI dt dt
2!!1[]j[]1jj21/j[] 1/j 31j1j1j4jj1/j1/jjjjZ11j1Z=1/11/j1=1j11j/12+12=1/2j/2Z=[1/1j1/1j]1=[1/2j/21/2j/2]1=11=11
3!!RZ= Re= Ldi/dtE LjIZ jLi= Cde/dtI CjEZ E/I/jCRLZ= RL= RjLRLZ= RL= /R/jLjLR/jLRZ= jLR/jLR=jLRjLR[jLRjLR]= LRjRRL= LRRLjLRRL1
4!![1] 100j 3
[2] 50100j 2
[3]
1 1 []1 [mH]0.001 [F]= 1000 [rad/s]