電路與電子技術(shù)-第3章

1、目錄目錄目錄目錄目錄目錄)sin(m tIi周周數(shù)數(shù)時(shí)時(shí)間間 T：T T= =秒秒（s）s10ms10s163 目錄目錄時(shí)時(shí)間間周周數(shù)數(shù) fHz10MHz1H10kHz163；zt Tf1 fT22 rad/s314s02.0 Hz50 Tf目錄目錄eui、mmmEUI、EUI、目錄目錄tRiTd02 RTI2 TtiTI02d1)(sinm tIi2mII 2mEE 2mUU 目錄目錄V5372380V380V3112220V220mm UUUU，目錄目錄目錄目錄)()( 21 tt12 A)90 314sin(25 sino11m1 ttIi ooo21603090 A)30 314sin

2、(23 sino22m2 ttIi 目錄目錄ooo21603090 ooo2160060 A)30 314sin(23o tA)90 314sin(25o t A) 314sin(232ti A)60 314sin(25o1 ti 目錄目錄2221 21 0 目錄目錄 有效值有效值U和和初相位初相位變化變化角頻率角頻率不變不變 tUtUtUuuu sin2 sin2 sin2221121如：如： 222111sin2 sin2 tUutUu目錄目錄例例rad/s 1000 A301000sin ti A1m IA707.021 IHz2 .159Hz210002 f 30 目錄目錄3.1.2

3、正弦交流電的相量表示法正弦交流電的相量表示法) sin(m tIi I： mmIIII 或或目錄目錄A baAj )sinj(cos rA1j 22bar abarctan 目錄目錄A jesinjcos jerA rA iII uUU iII mm uUU mm 目錄目錄例例A)60314sin(25V )30 143sin(2220oo titu解：解：V302220 omm uUU A6025 omm iII V30220 o uUU A605 o iII 目錄目錄)( j)()j()j(2121221121bbaababaAAA A A 21AAA 21AAA 目錄目錄21rrr 21

4、 ；21rrr 21 rrrrrAAA )(2121221121 rrrrrAAA )(2121221121目錄目錄 )sin(2) sin(2iutIitUu 目錄目錄)sin(2) sin(2iutIitUu iII uUU iII 2m uUU 2m 目錄目錄A)90 143sin(24(A) 143sin23o21 titi21iii A)1 .53314sin(25o21 tiii 1I2IIo53.1 例例3AA03o1 Ij4AA904o2 IA53.15Aarctan43j4)A3(o2221 III34目錄目錄V)4 j3( UV)4j3( UV)1 .53sin(25 tu

5、 V)4j3( UV)1 .53sin(25 tu V)9 .126sin(25 tu V)4 j3( UV)9 .126sin(25 tu V5V4322 U 1 .5334arctan? ?目錄目錄V7 .70V sin100 Utu ？V)15sin(250V5015j teU ？目錄目錄A45210 IA)45sin(10 ti ？ ： 則則：A)50(sin100 ti ？2100IA4510m I已知已知：A50100 I目錄目錄Rui tUu sin2 設(shè)設(shè)則則tItRURui sin2sin2 目錄目錄tItRURuitUu sin2sin2sin2 IRU UIRUI ui

6、RUI IRU IUR iuuIRURURUI 目錄目錄)2cos1(sin2sin2sin22tUItUItItUuip TtpTP0d1RURIUIP22 目錄目錄tUu sin2 )90sin(2cos2dd tCUtUCtuCi tuCidd 目錄目錄)90sin(2sin2 tIitUu CXICIU 1fCCXC211 IUCXUIj IXUCj IUXC j目錄目錄；CIXU iu 2fcXC21 uiCiCCUIXIXIXU j22fIfCU 2 fC21 目錄目錄tUIttUItItUiup 2sincossin2cos2sin2 0d10 tpTPT2IXIUQC t 90

7、目錄目錄22mmax21CUCUWC 78mAA078.0A4.127104.12710255014.321216 CCXUIfCXA8.7A274.110274.11025500014.321216 CCXUIfCX例例目錄目錄V)6314sin(100 tu例例318010314116 CXC mA2.22A31807 .70 CXUI目錄目錄mA)3314sin(22 .22)26314sin(22 .22 ttiUI 30 60V)6314sin(100 tumA2.22A31807 .70 CXUI目錄目錄tIi sin2 設(shè)設(shè))90sin(2)90sin(2cos2dd tUtLI

8、tLItiLu 則則tiLudd iuL目錄目錄2.2.電壓與電流的關(guān)系電壓與電流的關(guān)系)90sin(2sin2 tUutIi LXILIU fLLXL2 UILXUIj 或或IXULj IUXL j目錄目錄；LIXU iu 2fL2 fLU2 uiLiLLUIXIXIXU j22目錄目錄tUIttUItUtIuip 2sincossin2cos2sin2 0d10 tpTPT2IXIUQL t 90目錄目錄22mmax21LILIWL 318mAA318.0A4 .31104 .311 .05014.322 LLXUIfLX3.18mAA00318. 0A4031401031401 . 05

9、00014. 322 LLXUIfLX例例目錄目錄LXiu LIU j LXIU tiLudd LUI j LUI j RUi RuI RUI Rui 目錄目錄iRu tUu sin2 tIi sin2 RIU RIU UI2RIUIP tiLudd tuCidd tIi sin2 )90sin(2 tUu tIi sin2 )90sin( 2 tUu LXIXULL CXIXUCC 1 UIUIIXULj IXUCj 2IXUIQL 2IXUIQC 目錄目錄01m nkkI 01 nkkI01m nkkU01 nkkU01m nkkI01 nkkI01m nkkU01 nkkU目錄目錄21U

10、UU U2U1U 222111 sin2 sin2 tUutUu2121uuuuuu 2 1 2U U )(21UUU ) ( sin2 tUu) ( sin2 tUu 目錄目錄tIi sin2 設(shè)設(shè)：則：則：IRUtUuRRR ； sin2LLLLIXUtUu ；)90sin(2o CCCCIXUtUu ；)90sin(2o 由由KVL：CLRuuuu CLRUUUU CUULUIRUCUXU CLXUUU XRUU RLCRuLuCu+- -+- -+- -+- -ui目錄目錄CUULUIRUCUXU 2222)(CLRXRUUUUUU RCLRXUUUUU arctanarctan )s

11、in(2 tUuuuuCLRCLXX 0 CLXX 0 CLXX 0 目錄目錄ZIXXRIIXIXIRUUUUCLCLCLR 222222)()()()(ZUI 22)(CLXXRZ ZIXXRIIXIXIRUUUUCLCLCLR )( j)j(j抗抗)( jCLXXRZ ZUI 目錄目錄URUXU ZIUIUIUZiuiu 目錄目錄 CLCLRXXIIRUUUU ？ZIU ZUI Zui ZUI ZUI ZUI IXXIRUUUUCLCLR j目錄目錄RXXCL arctan ？222CLRUUUU ？ CLXXRIU j？ 22CLXXRIU 11？1213？RCL arctan10目錄目錄例例 V30314sin2220 tu 401080314116 CXC 5022 CLXXRZA4