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]