练习题 第一章4.(a )I=0AU 2=12V U=12V (b )I=2.154112=++(A )U 1=IR 1=1.2×4=4.8(V ) U 2=IR 2=1.2×5=6(V ) 8. Uab=Va-Vb=20-12=8V Ubc=Vb-Vc=12-4=8V Uac=Va-Vc=20-4=16V11. I=425100==R U A 12. R=254100==I U Ω13. R=205100==I U ΩI=620120==R U A 14.R=ρs l R 减少20%,I ’=A R R U 25.68.05%80·100'=== 6.25-5=1.25 A (增加)15.I=R U ,U 相同时,I 和R 成反比。
因为I 1是I 2的4倍,所以R 1是R 2的41倍。
16.(1)2A (2)R 1=10660=Ω (3)U=IR 1=3×10=30V 17.(a )I=A Uab m 2-1036-10333=⨯=⨯ (b )VU U U V I I U U U VU U U ob ao ab 25-1-15-52-53-2053515-5-55-1051-52oa bo ca 32oc bo bc ==⨯+⨯=+==⨯+⨯=⨯+⨯=+===⨯+⨯=+=)()()()(18.U =+-=+=E IR U U bd ad ab -(-3)×1+2=5V 19. E=U+IR , 1.5+2R=0.8+4R R=0.35Ω, E=1.5+2R=2.2V 20.A I 74.003.025.1=+=21.(1)A R R U I 49.0103500====(2)U=IR=0.49×100=49V22.ΩΩ4.025.01.0r 1.09.1-26.72509.1=====V V V mAVR第二章1.12Ω,4760Ω 2.(1)Ωk 201051003-0=⨯=R (2)R 2=20-(4+10)=6k Ω 3.10Ω4.ΩK 1030153015=+⨯5. ΩK R ab 4.31024164641=+=+⨯+=105.75.2=+=ab R Ω 6. a1560206020=+⨯Ω 1015301530=+⨯Ω 18108ae =+=R Ωb 4=ab R Ω 7. R=1+2+3=6Ω I=A R U 2612== VIR U V IR U VIR U 632422212332211=⨯===⨯===⨯==8. 10015212⨯+=R R R 解得: ΩΩ17320351512=-===R R 9. AI A I 820464122046664=⨯+==⨯+=ΩΩ10. 7.5A, 15A, 7.5A 11. S 打开:46+=EI aS 闭合:RR EI ++=664' I ’=2a I 得:R=1.2Ω 12 .I=A 41560= U=I ×(75+15+50)=4×140=560V 13. AI R R 2306030,204060====Ω14.21I I =2112=R R R 总=520=4Ω 22121=+=R R R R R Ω 23·2212=R R R 所以R 2=3Ω, R 1=2R 2=6Ω16. a . ΩΩ总K R K 4421002221202.222680330680330=++==+⨯b . ΩK 3924154947494715=+=+⨯+c .ΩΩΩK K K 3.22.73.32.73.32.76.16.56.19.37.29.37.2=+⨯=+=+⨯17.a .5Ω b.≈10Ω18.a .R Ω104==Rab b.Ω2ab =R c.Ω5ab =R 19. a .4Ω b.Ω3412412=+⨯=AB R c.Ω总83=R20.ΩΩΩΩΩ532395.495.46189189.3514.25.730103010.1ab ab =+==+⨯=+⨯=+==+⨯=R R R ab21.Ω20=l R 22.=m 2510250= ΩM r m R v m 48.020)125()1(=⨯-=-= 23. ΩK r m R m m 9030)14()1(475300=⨯-=-===24. m=100/1=100 Ω202.0110020)1/(=-=-=m R R m S25. Ω的电阻所以并联一个Ω01.001.01403.01425100=-=-===m r R m m s 26.VU V U A I 600103002.0400102002.002.01000302010003231=⨯⨯==⨯⨯==⨯+=)(27.VU VU V U mAI g 5055.015.05.0100050090090915000321===⨯===+++=28.ΩΩΩ所以Ω4805002048001500200800150020010003001500200321321321321321===++=+=+=++=++R R R R R R R R R R R R R R R 29.AI A I A I I I I I I I I 413621023213231213====+=++=30.AI A I A I I I I I I I I 5.1175.4181222012223213231321===+=++=+=+31.VV V V A I B A 122-81612846-==⨯-==++=32.VV U V VU A I B AB A AB 15442224212-=-=+==⨯==+=33.(1).S 断开:021==I I V V A 6= (2).S 闭合:因为02=I V V A 0= 34.VI V AI A 6125.0361224-=⨯-==+=35.左图:VV V U VV VI V A I b a ab b a 02221246=-=-=-=-==+=右图:VV V U VI V VV A I b a ab b a 171881123=-==-===+=36.37. R=1Ω A R E I s 2120===38.(图打不出来- -)A I 1246=+= 39. 40.41. I=0.5A 42.为电源S US IS R IS R I W P WP WP V U V IR U a 162832-21616421688,842).(2=⨯==⨯-==⨯==+==⨯==均为电源、)()(S S US IS R R S U R I U W V P W V P W P AI I I AI S 81-88)1(81628121248.b -=⨯=-=-⨯==⨯=-=-=-===43. 44.VI U A I I I U 85035830-101351111===⨯==)( 45.WP U P P U R 33112120020012140022022022=⨯===⨯==Ω46. 度小时27kwh 27305.16.0==⨯⨯=kw P47. 230=P ×24×30×5=0.0639kw=63.9W 230×1.2=276元48. mA A R U I V PR U R U P 5005.040020,20400,2======== 49. W X X U U P P R U P 200,800110220.222221212=====50.51. 在c 点:334+=I I 在d 点:213I I =+ 回路adca :3102531⨯=+I I 回路bcdb :05103242=⨯+⨯+I I 综上得出:515230253131-=+=+I I I I →AI I A I A I I AI 1231515312343121-=+=-==+==V I I U ab 906030)12(5)15(25243=+=-⨯--⨯-=-=第三章1. 左图 7622331133321=+=+=+I R I R I R I R I I I → 726222313321=+=+=+I I I I I I I → A I A I A I 5.225.0321===右图 4322313212=+=+=I I I I I I →43223131=+-=-I I I I → AI I I 6.124.0321==-=2. 4个结点,11个回路,7个支路3.A R U U I VR R R R U R U R U U NN S S S S NN 051010105/365/15/15/15/105/105/101111'11321332211'=-=+=-=-=++---=++-+-+-=4. a. 先将电流源去掉(断开): A I 0'=,再将电压源去掉(短路): A I 25.01*1244''=+= I=I ’+I ’’=0b. 先将4A 的电流源去掉:A I I 12'1==‘再将10V 的电压源去掉:AI AI A I A I 4.34.216.06.116.14*1044.24*46621''1''2=+=-=-=∴-=-==+=5. 先将6V 的电压源去掉, A I 32)1(*366'-=-+= 再将4V 的电压源去掉:AI I I A I A I 31'''3165*232''65306306566-=+=∴=+==+=+=6.7. (a ) 1. 求U 0222221112121=+++=+I I I I I I 解得:A I A I 1,021==; V U U 2ab 0==2. Ω=+⨯=5.162620R A I 325.15.12=+=∴(b )1. 断开R L ,求U abAI A I 23109302721===解得:V U 7.2ab =2. Ω=303410R A I 2.01303417.2=+=∴(c )Ω==+=62481600R V U A I 32624=+=(d )Ω==k R V U 580ab mA I 34158=+=8. 9.10. (蚗电源参数)I s =3A ,U s2=12V11. 利用KCL 定理,求出各支路电流,从左到右分别为:2A ,3A ,1A ,1A ,4A ,3A 在利用KVL 定理,列出电压方程: 112. 用叠加定理求解。
(1)只5V 电压源作用时:)(225167400167400)(74002008020080Ω=+⨯Ω=+⨯)(161)225505(1674007400'A I -=+-⨯+=(2)只20V 电压源作用时:)()(A 83340402034016801680=+Ω=+⨯ )(16583168080"A I =⨯+=)(41165161"'A I I I =+-=+=∴第四章1. )(0123.0)(1023.1105.811186s s f T μ=⨯≈⨯==- 2. )(025.01040116MHz T f =⨯==- 3. 2,3,6πππ4. ︒︒︒135,180,2705.)/(1206023600s rad ππω=⨯=︒=⨯⨯361805001100ππ6. (1)4,250,100,/6280,001.0,1000πω-=ψ=====mA I mA I s rad s T Hz f m(2) 略。