1、 27 3.1 R L C,mH 127,30=L R F 40=C)20 314 sin(2 220o+=t u V(1)(2)I i(3)cos(4)(5)(6)P Q S(1)=40 10 127 3143LL X=+=+=50)80 40(30)(8010 40 3141 12 2 2C L26CX X R ZCX(2)=4.450220ZUI+=+=)73 314 sin(2 4.4)53 20 314 sin(2 4.4533080 40arctan arctanC Lo o oot t iRX X(3)6.0)53 cos(cos=o(4)V 132 30 4.4R=IR U V
2、)17 314(sin 2 352)90 73 314(sin 2 352V 352 80 4.4V)163 314(sin 2 176)90 73 314(sin 2 176V 176 40 4.4V)73 314 sin(2 132C CLL LRo o oo o oo=+=+=+=+=t t uIX Ut t uIX Ut u C L RU U U U+(5)3.1(6)=cos UI P W 8.5806.0 4.4 220=sin UI Q)var(4.774)8.0(4.4 220)53 sin(4.4 220=o=V 968 4.4 220 UI S 3.1 3.1 3.2 I&
3、RU&LU&CU&V 20 220o&=U=+=+=o53 50 40 j 30)80 40(j 30)(jC LX X R Z o17o20o73I&RU&U&LU&C LU U&+CU&28 V 17 352 73 80 4.4 j jV 163 176 73 40 4.4 j jV 73 132 73 30 4.473 4.453 5020 220C CL LRo oo oo oooo&=X I UX I UR I UZUI 3.2 3.2(a)RC=100 R 1u 500Hz 2u o30?3.2(b)o30 tan2C=UU o30 tanC=IRIX o30 tanC=RX(a)
4、(b)3.2 3.3 CX1C=3130 tan1=oCR 3=CR RC3=52.5 F 10 52.5100 500 23 236=fRF 3.4 3.3(a),0 100o&=U=50C L 2 1X X R R,abU&(1)U&3.3(b)V 100ab=U U Ua b U 90o abU&=-j100V(2)V 45 2 50 45 50 2 j j45 245 50 500 100j50 500 100C C C ao2 2Co oooo o&=+=X I U UI=o oo o&45 2 50 45 2 50V 45 2 50 45 50 2 j jbo ao abL L L
5、 boU U UX I U U V j100 50 j 50 50 j 50=CCuR 2u1uio30CU&2U&I&U&29(a)(b)3.3 3.4 3.5 3.4 V 0 220o&=U(1)Z(2)I&1I&2I&1=+=400 j 200 j 100)400 j)(200 j 100(50 Z=+=+40 j2 370240 j 320 50 o33 440 2 3.4 3.5=+=oooo&33 5.0400 j 200 j 100400 j33 5.033 4400 2201IZUI=o ooo6.59 89.0 33 5.04.63 22490 400=+=o&33 5.04
6、00 j 200 j 100200 j 1002I=o ooo8.93 5.0 33 5.04.63 2244.63 224 3.6 3.5 RC RCf f 210=1U&2U&3112=UU RC CRCCR Z jj 1j13+=+=RC RCRCRCRZj 1j1j12+=+=3.5 3.6 50 100 200 j 400 jI&U&1I&2I&LICI1R2RCLa bUabUo45o45aboR2U&R1U&CI&CU&LU&U&abU&LI&I&RRCC1U&2U&3U&30=+=+=12 312 2j 1 jj 1j 1URCRCRCRCRZ ZZ UZ I U&)1(j 3
7、j)j 1(j112RCRCUURC RCRC+=+&2U&1U&RCRC1=RCf f 210=3112=UU 3.7 3.6(a)R ab abU&R 0 1.5 k C F,150=V 20=U 50Hz Uab(a)(b)3.6 3.7)j(2C R be ae abX IUU U U=&CRjX RUI=&=)j(j 2CCabXX RU UU&=+222 2)j(2)j(CCU UZZ UX RX R U&2C2X R Z+=RI&U&C R RX1arctan arctanC=abUb a1RRab1ReRUCUU&RI&RU&CU&abU&2U&2U&U&RI&31 abU&U
8、&2=R Uab 2abUU=V 10220ab=U R 90o 180o R k 5.1 abU&180o o o6.1 8.0 210 5.1 10 150 50 21arctan 21arctan 2 23 6=RC 180 1.6 178.4 3.6(b)RU&CU&90o R IR b 2U abU&3.8 3.7+=+=150 j 50,00 j1 202 1Z Z 2I&U&90o R?R ZR Z Z Z ZR ZR ZZ Z Z ZR+=+=+=22 1 2 1221 2 1)(o&0=U U R Z Z Z ZR Z UZUI)()(2 1 2 12+=&Z2=+=IR Z
9、RI&22=+R ZRR Z Z Z ZR Z U2 2 1 2 12)()(&3.7 3.8 R Z Z Z ZR U)(2 1 2 1+&)250 000 3 000 5(j 000 1 000 15 70)250 j 70()150 j 50()100 j 20(2R RR URR UI+=+=&2I&o&90 U 0 000 14 70=R=200 R 3.9 0f 1 2f f f=Q 1Z2Z RI&U&2I&1I&32 Qff0=1f 2f I0 0.707=+2112)1(CL RURUICL RU2 21)1(02222=+2 2222 21122)1()1(RCL RCL
10、R=+=+1f 2f RCL=111 RCL+=221 1f CL f11 01,1,1222 121=+RC LC RC LC R f f LR LR L=+=)2 2()()()(1 21 21 22122 QfL fR fLRf f f0001 2 2 2=3.10,V 1=U,pF 160,mH 4,10=C L R(1)(2)+0010(1)=12 3010 160 10 4 14.3 21 21LCf 199.1kHz10 80 14.3 218=100 1.01010=RUI mA 33=000 510 160 10 1.199 14.3 21 21 1000 5 10 4 10
11、 1.199 14.3 2 212 30 0C3 30 0 LC f CXL f L X V 500 000 5 1.0C 0 C=X I U 5001500C=UUQ Hz 2.39850010 1.19930=Qff kHz 9.198 1.199 100 19920 1=ff f kHz 3.199 1.199 100 19920 2=+=+=ff f 2+0010 XL XC 0010 0010=500 4 500 5C LX X=+=+=000 1)500 4 500 5(10)(2 2 2C L2X X R Z 1 001.0000 11=ZUI mA V 5.4 500 4 00
12、1.0C C=IX U+0010 I UC 3.11 3.8 30V 30V=103302I=o&0 102I V 45 4.42)3 j 3(0 102 2oo&=Z I U=+=)2.7 j 3(8.66 8.72 j 545 4.4211oo&ZUI 3.8 3.11=+=+=o&29 15 2.7 j 13 10 2.7 j 32 1I I I 3.12 3.9 o&0=U U 0 0 0jX R Z+=L L LjX R Z+=)(j)(L 0 L 0 L 0X X R RUZ ZUI+=+=&VA 5 3 2 j 3 jI&1I&2I&U&34 2L 02L 0)()(X X R
13、RUI+=L2L 02L 02L2)()(RX X R RUR I P+=3.9 3.12 RL XL)(L 0X X+0 LX X=L2L 02)(RR RUP+=0 LX X=RL 0ddL=RP 0 LR R=0 LR R=0 LX X=02max4RUP=3.13 3.12 3.9+=10 j 5,V 0 1000Z Uo&Z=5)1(LZ(2)Z Z=L=10 j 5)3(LZ,=+=o4.63 2.11 10 j 50Z=5)1(LZ W 250 5)07.7(45 07.745 2 100 10010 j 100 1005 10 j 50 1002L2LL 0=+=+=+=R I
14、 PZ ZUIooo o o&=2.11)2(0 LZ Z W 310 2.11)26.5(7.31 26.57.31 190 10010 j 2.160 1002.11 10 j 50 1002L2LL 0=+=+=+=R I PZ ZUIooo o o&=10 j 5)3(LZ W 500 5 100 10100 100j10 5 j10 50 1002L2LL 0=+=+=R I PZ ZUIoo o&3.14 3.10(a)o&0 100=U=000 1LX 0ZLZI&U&35=000 2,500CR X I&UIRLjXCjX UabUabab0ZLjXLjXLjXCjX CjX
15、CjX CjX CjX LjXLjX(a)(b)(c)3.10 3.14 R abU&3.10(b)V 100 0 100j500 000 j1j500a=o&V V 200 0 100j500 000 j1000 j1b=o&V V 300 200 100b a ab=U U U&3.11 3.14 0Z 3.10(c)XL XC=000 j2j500 000 j1j500)000)(j120Z 3.11 R=+=+=o o&135 106.0 45 106.0000 2 000 j23000abR ZUI 3.15 3.12(a),j4 31+=Z+=8 j 62Z+=j5 53Z,V)6
16、0 314 sin(2 220o+=t u=)60 314(sin 2 10ot i Z3 3.12(b)(a)(b)(c)3.12 3.15 9 j 80 2205 j 5 j4 30 2203 13+=+=+=o o&Z ZUI 0ZRU&I&1Z2Z3Z1Z2Z3Z1Z2Z3ZU&3I&U&3I&3I&I&I&36=ooo4.48 3.184.48 120 220 3.12(c)=+=+=o&60 10j5 5 j4 3j4 33 113IZ ZZI=ooo5.41 16.44.48 129.6 50=+=+=+=oo o&6.35 76.18 92.j10 26.1576.j2 11.
17、3 68.j13 15.12 5.41 16.4 4.48 3.183 3 3I I I W 7.759 1 5 76.18 52 23=I P 3.16 3.13(a),Hz 50,W 1500,V 200=f P U R R R R=3 2 1 I I I I=3 2 1 I R L C?V 01 1o&=U U 2I&1U&3I&1U&3 2 1I I I&+=I I I I=3 2 1(a)(b)3.13 3.16 3.13(b)3 2R R=2I&3I&=o o o&0,60,601 3 2I I I I I I 1I&1U&1 1 1U I R U&+=U&1I&R I P P P
18、 PI I I IUPI2R R R3 2 1135.75.71 2001500cos3 2 1=+=9.85.7 3150032 2IPR=+o&60 j212ZIUL R VVW1R2R3RL CUU&1I&2I&3I&1U&1U&1I&2I&3I&37 R R L 3 60 tan2=o H 049.03=RL=o&601j313ZIUCR R RC3 60 tan13=o 8.20631=RCF 3.17 3.14(a),Hz 50,V 0 200=f Uo&,4911=R c R2 b 49.1V V 85ab=U 1(a)(b)3.14 3.17 3.14(b)V 0 200o&=
19、U=o&0222IRUI R1 C R 1I&U&=o&1 1I I V 0 85 0ab abo o&=U U VV 0 200ac 1 1 acadoo&=U R I UU U b cbU&adU&abU&acU&bcU&acU&1I&bcU&o30 577.0 arctan851.49arctan arctanabbc=UU V 2.98 1.49 852 2 2bc2ab ac=+=+=U U U=2.04912.981ac1RUI abcd1R2RRCVabcd1I&2I&U&U&2I&1I&38=o&30 2.01I V 90 1.49V 30 2.98bcacoo&=UU cd
20、cdU&V 1.23 125 30 2.98 0 200ac ad cdo o o&=U U U 3.1=15mI Hz 50=f o42 s 001.0=t 3.2 b a U j+=&d c I j+=&o90 3.3 V e 220j30o&=U A j3 4=I&,A j3 4=I&,?3.4+=)3 2(sinmt I i 0=t=866.0 i I 3.5 3.15 A0 V0 A0 V0 3.15 3.5 3.6 3.16 A1 A2 A 4,A 32 1=I I(1),j,C 2 1X Z R Z=A0?(2)Z1=R Z2 A0?(3)L 1jX Z=Z2 A0?3.7 3.
21、17=2801R H 65.1 202=L R V 220=U I 12 10 10Ra)(R1V0V2V60V100Vb)(012 5 3c)(1V2V0VRV 10 V 10)d(011V0V 10 j 10100V 5 5 j)(e0CXLXLXCXCXCjX 39 220V?50Hz 3.16 3.6 3.17 3.7 3.8 3.18 L 2 2 1,5,V 200,2 10,10 X R R U I I=I XC XL R2 3.9 3.19,V 100,102 1=U I I u i I R XC XL 3.18 3.8 3.19 3.9 3.10 3.20 F 01.0=C V
22、 6280 sin 21t u=u2 60 R?u2?3.11 3.21 R ug u ug Tr 3.20 3.10 3.21 3.11 3.12 3.22,20,3 10,10,V 2202 L 1=R X R U 3.13 3.23=)45 314 sin(22,V 314 sin 2 2201ot i t u R L C 3.22 3.12 3.23 3.13 R2RRU&I&1I&2I&I&1I&2I&U&LjXLjXCjX CjX 1u2uCRuuguRCTrCuRu0211Z2Z1R2RLuiI&1I&2I&uiV121i2iRL C1R2R U&I&2I&1I&LjX 40 3
23、.14 3.24,11,22,22,V 220C L=X X R U IR IL IC I 3.15 3.25 2 2 1 1C R C R=2 112 1212C CCR RRUU+=+=&2U&1U&3.24 3.14 3.25 3.15 3.16 3.26?3.17 3.27 R X X=C L A1 3A A2 A3?3.26 3.16 3.27 3.17 3.18 50Hz 100V 20A 60Hz 18A 3.19 V 220N=U W 60N=P V 220=U f=50Hz V 1801=U V 1002=U(1)(2)(3)(4)3.20 3.28 3.21 3.29,5
24、j,8 j 62 1=+=Z Z,5 j 43+=Z V 2203=U u 3.28 3.20 3.29 3.21 3.22 3.30=181I=152I A 30=I R XL 3.23()R L R1C1R2R2CU&I&CI&LI&RI&1U&2U&LjXCjX 1V2V3V4V 10 10 10 1uL R C123V 0 30o 3 4 j 101Z2Z3ZU&I&1I&2I&U&3I&2I&1I&3U&41 3.31 W 30,A 1,V 50=P I U Hz 50 R L 3.30 3.22 3.31 3.23 3.24 3.32 4A 2i o30 u,2,)2 j 5.1(
25、V,sin 2 2203 2=+=Z Z t u Z1 P 3.25 3.33 o&30 6S=I I&PS 3.32 3.24 3.33 3.25 3.26 3.34 V 2 100,2 10,102 1=U I I,LX R=102CX(1)I XC1 XL R P(2)3.27 3.35 H 25.0,314 sin 2S=L t i R o45S L i i?3.34 3.26 3.35 3.27 3.28 3.36 1 A2 A3 17A 9A 10A V 200V 50Hz(1)R2(2)Z3(3)(4)Z3 3.29 3.37 V sin 21t U u=u2 u1?=12UU?
26、3.30 3.38 V)30(sin 2,1o+=t U uCR R aV&bV&abU&1C2CRLSiLiRLU&I&2I&1I&i1i2i R L 4 VWRL 3 10 2 j j21Z2Z3ZAU&I&2I&SI&I&42 3.31 3.39 V,)60 314 sin(2 10o+=t u=11R,=1,13 2 1C L L 3 2X X X R R,I&3.36 3.28 3.37 3.29 3.38 3.30 3.39 3.31 3.32 3.40,45 18=o&I abU&3.33 3.41=100 V,0 10L 2 C 1 CR R X X Eo&RL LI&3.40
27、 3.32 3.41 3.33 3.34 3.42 V 0 1Co&=U U&3.35 3.43 V)30 314 sin(2 10o+=t u+=)60 314 sin(2 5Sot i 2 i 3.42 3.34 3.43 3.35 3.36 3.44 Hz 50,V 220=f U S 1A L 2R3Z1u2uRRCCV1A2A3A1R 1LX2R2LX3R3CX RR RR CCa bU&U&I&a b 10 20 2 j 6 j1 CjX C2jX RLRI&abU&E&LI&2 2 2 j 2 jusii 10 2U&CU&43 3.37 3.45 R C 1=CR 2U&1U&
28、o90 3.44 3.36 3.45 3.37 3.38 3.46 CLR=2 Z=R 3.39 3.47,mH 7.63,Hz 100,V 100=L f U F 8.31=C=10 R:(1)(2)C P?QL QC Q?3.40 R L C f 500Hz 0.2A XC 314 UC U 20 R L 3.41 300 pF C mH 3.0=L=10 R mV 1=U(1)0f I0 Q UC(2)+1000 UC?3.46 3.38 3.47 3.39 3.48 3.43 3.42 0.25H 7.13 F 85 3.43 3.48 L R 15A 12A C?3.44 40W()
29、220V 50Hz 110V 0.8 3.45 1.21kW 220V 11A 0.91?iabZRRLCuRCLu RCLRRCjX CjX uCRLS1U&2U&44 3.46 10kW 220V 50Hz 8kW 0.6(1)(2)0.95?(3)?3.47 3.49 C C?3.48 3.50,5.0 j 25.02 1+=Z Z,20 j 8.0m+=Z Z?3.49 3.47 3.50 3.48 3.49 3.51=m sin 2 10 t i(1)A?(2)A F 4,H 1=C L u=?3.51 3.49 3.52 3.50 3.50 3.52 U 50Hz C(1)1 co
30、s=R?(2)21cos=C?3.51 3.53 pF 000 1,500,k 22 1=C R R ed abU U=ed ab,(U U(1)L=(2)50Hz abU edU 3.52 3.54 3,k 112=IIR 1U&2U&o&451U XL 3.53 3.55 200V 0.1A 12W ui 5 8 j 20 j1Z2ZmZ uZSi F 1 F 1 k 2 k 2uLXRCU&45=500 1,500 2C LX X R X 3.53 3.51 3.54 3.52 3.54 3.56 V,220=U 50Hz F 1,H 1=C L 110V 15W 3.55 3.57 Z
31、1 Z2 I&Z?3.56 3.58 V)45 314 sin(2 10o+=t u=5.2CX V)120 314 sin(2 5Co=t u 3.55 3.53 3.56 3.54 3.57 3.55 3.58 3.56 3.1 o60 13A 3.2 cdab=o90 dcab=cdab=3.3 A)143(sin 2 5,V)30(sin 2 220o o+=+=t i t u 3.4 21=I VWRXCLuLjXCjX+CCuu 1Z2Z ZU&I&L jRabe1R2RCLC j1abU&cdU&2U&2I&1I&1U&d 46 3.5(a)14.1A;(b)80V;(c)2A;
32、(d)14.1A;(e)10A,141V 3.6(1)5A;(2)7A;(3)1A 3.7 I=0.367A,103V,190V 3.8=5 7,15,A 10L 2 CX R X I 3.9=2 5,2 10,2 10,A 2 10L CX X R I 3.10 V 5.0,k 92=U R 3.12 W 630 3,3 11,112 1=P I I I 3.13 F 159,H 0318.0 10,)90 314(sin 2 11=+=C L R t i o 3.14 A 2 10,A 20,A 10,A 10C L R=I I I I 3.16 V 0 V,V 10 V,V 2 10 V
33、,V 10 V4 3 2 1=3.17 A 3,A 2 33 2=I I 3.18 mH 7.11,4.3=L R 3.19,86.0 3)cos(,H 94.0,50(2),A 6.0(1)L=L R I W 78)4(=P 3.20 A 36 2.8,A 0 3,A 1.53 62 1o o o&=I I I=o36 7.3 Z 3.21,A 6.26 3.51,A 9.167 7.252 1=I I&oA 3.51 4.343o&=I V)3.65(sin 2 252o=t u 3.22=39.4,31.5LX R 3.23 mH 127,30=L R 3.24 W 6.1498,6.2
34、8 3.101=P Zo 3.25 W 4.122 A 60 2.1=,P Io&3.26 7.0 cos)2(;W 1000,5,10,A 10)1(L C1=p X R X I 3.27=5.78LX R 3.28 88.0 cos)3(,28 8.11)2(,2.22)1(3 2=oZ R W 2.838 2)4(=P 3.29 32,112=UURC 3.30 V 120,V 6021V,V 12021Vab b ao o o&=U U U U 3.31 W 40,A 5.33 47.4,3.26 5=P I Zo o&3.32 V 9.11 7.48abo&=U 3.33 mA 33
35、 jL=I&3.34 V 4.63 5o&=U 3.35 W 300,A)30(sin 2 5=+=P t io 3.36 H 35.0=L 3.39 707.0 cos,var 500,W 500,A 2 5)1(=Q P I 0,var 000 4,F 8.39)2(L=Q Q C 47 3.40 H 1.0,159=L R 3.41 mV 100,100,mA 1.0,Hz 10 531)1(C 030=U Q I f mV 7.4)2(C=U 3.42=k 214,kHz 11000Z f 3.43 C 9A 3.44 58.2,5.0 cos,H 7.1,524L=C L X F 3.45 102,5.0 cos=C F 3.46 3A.38(3),F 527(2),A 61)1(=I C I 3.47 38%3.48=j1)5.0(Z 3.49(1)A RA LA H 4.2,0 400 2A A=L R H 12,0 000 3A A=L R(2)0=u 3.50+=)(4)(2)2(,2)1(2 2X R X R R RX RC X R 3.51 mH 1=L edU&o&90abU 3.52=366LX 3.53=750,1500 X R 3.54 3.55 2 1Z Z=3.56 var 3.24,88.3 j=Q Z
