19

100V419-1

RLVjVj V19

19-2-1RL90

RLVjVj VRL9019

19-2-2

RLVjVj VRL90()19

19-2-3

RLVjVj VRL90()2 19

22219-2-4

RLVjVj VRL90()19

1Vj V19-2-5

RLVjVj VRL90()19

1+j V19-2-6

19019-3-1

9019-3-2iIm sin(t+)eERm sin(t+) +ELm cos(t+)

909019-3-3

909019-3-4

9090(19-3-5

cossin19-4-1jcosjsin

cossin19-4-2

cossin19-4-32.71828182845e

cossin19-4-42.71828182845e

cossin19-4-52.71828182845ecossin

jtsincos19-5-1

jtsincos19-5-2

jtsincos19-5-3

jtsincos19-5-4EEmjt++ Em cos(t++) + jEm sin(t++)IImjt+ Im cos(t+) + jIm sin(t+)

100Vjtjtjt19-6-1

100Vjtjtjtjt19-6-2E E j +I Ij jtjt

100Vjtjtjtjt19-6-3jtjtjt (jtj +t

100Vjtjtjt100V19-6-4Im

jtt19-7-1 RLCj

RLRLC19-7-2RLCj

j19-7-3RLCj

j19-7-4= jIRLCj

19-7-5= jIRLCjj

sint+)jtjtjjsint+19-8-1

sint+)jtjtjj19-8-2E E j +I Ij j

sint+)jtjtjj19-8-3j

1 !!

t 1j

1 j (1, 0)(0, 1)Zx

j

21 !!00 = 0 =1(+) = (+) = 1 = 1 = cos+ jsin x x = cos+ jsin(+)= cos (+) + j sin (+) = coscossinsin+ j( cossin + sincos)= coscosj2 sinsin+ jcossin + jsincos= coscos jsin jsin+ cos jsin + jsincos= cos(cos jsin) + jsin( jsin+cos) = (cos + jsin)( jsin+cos) = 3j2sin j

31 EjEcos+ jEcos jEcos

Ij0IEcos90 jEcos

Ej(+)Ecos() + jEcos(+)IjIcos+ jIcosEj(+)EjjjIjjEj

!!

4ttax + bt xatbttOK

abt+ct a OKxxx f(x) f(x)f(x) abbt+c I = It+ t dI/dt = jIt+ t dI/dt = jI t I I dI/dt j t jt j 901 !!

e = 2 sin(t + 1 [V] 1 [V] E:E = jt s/sat s + a1 !!

2j!!jLI1/CI

100V 60Hz120rad/s)30/(i)(ii) 1 k1100 V(iii) 1 mH1100V(iv) 1F1100V

(i) 141VE = 1006[V](ii) E/RIE/1030.16[A](iii) E=LdI/dtI=1/LEE/jL(1006)/(j12010-3)-j(104/12)6[A]-j/(104/12)3[A](iv) jICdE/dt=jCEj12010-610061.210-2j61.210-2j2j3[A]0.11

3!![1] 100 [V]

[2] jt/6 t

[3] 100jt/12 t

[4] I 10jtL I t

[5] j +

[6] j + 0

1

11!!

1(z ) 2i2ab

ZabZabj1ZaZaa Z(ZabZabr2 a2 + b2 aba =rcos b =rsin=Re(Z) =Im(Z)arcos+jrsin

(a1+b1j)(a2+b2j)(a1 a2 ) + (b1 b2) j (a1+b1j)(a2+b2j) (a1a2b1b2) +(a1b2 +b1a2) jjj21

1!!

1 Z=abj

rZ=a+bjabbZ=a bjZZ(abj)(abj) a abjbja (bj) ab rr1!!