说明所有习题都是我们上课布置的作业题,所有解答都是本人自己完成,其中难免有错误之处,还望大家海涵。第2章小信号选频放大器2.1已知并联谐振回路的1μH,20pF,100,LCQ求该并联回路的谐振频率0f、谐振电阻pR及通频带0.7BW。[解]90-612110.035610Hz35.6MHz2π2π102010fLCHF6312640.71010022.4k22.361022.36k201035.610Hz35.610Hz356kHz100pHRQFfBWQ2.2并联谐振回路如图P2.2所示,已知:300pF,390μH,100,CLQ信号源内阻s100k,R负载电阻L200k,R求该回路的谐振频率、谐振电阻、通频带。[解]011465kHz2π2π390μH300PFfLC10.70390μH100114kΩ300PF////100kΩ//114.kΩ//200kΩ=42kΩ42kΩ42kΩ371.14kΩ390μH/300PF/465kHz/37=12.6kHzpespLeeeRQRRRRRQBWfQ2.3已知并联谐振回路的00.710MHz,C=50pF,150kHz,fBW求回路的L和Q以及600kHzf时电压衰减倍数。如将通频带加宽为300kHz,应在回路两端并接一个多大的电阻?[解]6262120115105μH(2π)(2π1010)5010LHfC6030.7101066.715010fQBW2236022600101166.78.11010poUfQfU当0.7300kHzBW时6030.746120101033.33001033.31.061010.6k2π2π10105010eeeefQBWQRQfC而471266.72.131021.2k2π105010pRQ由于,pepRRRRR所以可得10.6k21.2k21.2k21.2k10.6keppeRRRRR2.4并联回路如图P2.4所示,已知:360pF,C1280μH,L=100,Q250μH,L12=/10,nNNL1kR。试求该并联回路考虑到LR影响后的通频带及等效谐振电阻。[解]631228010100881088k36010pRQ22263331200.7612101k100k//88k//100k46.8k2801046.810/46.810/0.88105336010119.46kHz2π532π2801036010LLepLeeeeRnRRRRRQfBWQQLC2.5并联回路如图P2.5所示,试求并联回路2-3两端的谐振电阻pR。已知:(a)1100μHL、210μHL、4μHM,等效损耗电阻10r,300pFC;(b)150pFC、2100pFC,10μHL、2r。[解]612122(1001042)10(a)39.3k3001010pLLMLRcrCr61262222(100108)108.43(104)1039.3k0.55k(8.43)ppLLMnLMRRn12121212126612121212122(50100)10(b)33.310pF=33.3pF(50100)1010100.15010150k33.3102(50100)1035010150k16.7k3pppCCCCCLRCrCCnCRRn2.6并联谐振回路如图P2.6所示。已知:010MHzf,100Q,12ksR,L1kR,40pFC,匝比11323/1.3nNN,21345/4nNN,试求谐振回路有载谐振电阻eR、有载品质因数eQ和回路通频带0.7BW。3[解]将图P2.6等效为图P2.6(s),图中712010039.8k2π2π104010pQRQfC2212223371201.312k20.28k41k16k////(20.28//39.8//16)k7.3k7.3107.3102π10401018.341/2πssLLespLeeRnRRnRRRRRRQfC0.7010MHz/0.545MHz18.34eBWfQ2.7单调谐放大器如图2.2.4(a)所示。已知放大器的中心频率010.7MHzf,回路线圈电感134μHL,100Q,匝数1320N匝,125N匝,455N匝,2mSLG,晶体管的参数为:200μSoeG、7pFoeC、m45mSg、0bbr。试求该大器的谐振电压增益、通频带及回路外接电容C。[解]131312124520204,455NNnnNN66601326261232626631211137.2102π1002π10.710410/20010/412.510/210/412510(37.212.5125)10174.710451044174.710poeoeLLepoeLmuoeGSQQfLGGnSGGnSGGGGSgAnnG66660.701226260221161121174.7102π10.710410/10.7/210.51MHz1155.41055.4(2π)(2π10.710)410755.4554eeeToeTQGBWfQCFPFfLCCCPFn42.8单调谐放大器如图2.2.4(a)所示。中心频率030MHzf,晶体管工作点电流EQ2mAI,回路电感131.4μHL,100Q,匝比11312/2nNN,21345/3.5nNN,L1.2mSG、0.4mSoeG,0bbr,试求该放大器的谐振电压增益及通频带。[解]6661138101002π30101.410pGSQ23261232626606126013/0.410/210010/1.210/3.59810(3810098)1023610/262mA/26mV0.0770.07746.623.52361011236102π3oeoeLLepoeLmEQmueeeGGnSGGnSGGGGSgISgAnnGQGwL66600.7160101.41030101.88MHz16efBWQ第3章谐振功率放大器3.1谐振功率放大器电路如图3.1.1所示,晶体管的理想化转移特性如图P3.1所示。已知:BB0.2VV,i1.1cos()utV,回路调谐在输入信号频率上,试在转移特性上画出输入电压和集电极电流波形,并求出电流导通角及c0I、c1mI、c2mI的大小。5[解]由BEBB0.21.1cos()0.21.1cos(),iuVuVtVVt可作出它的波形如图P3.1(2)所示。根据BEu及转移特性,在图P3.1中可作出ci的波形如(3)所示。由于0t时,BEBEmax(0.21.1)=1.3,uuVV则max0.7CiA。因为()cosimBEonBBUUV,所以BE(on)BBim0.60.2cos0.364,1.1UVU则得69由于0(69)0.249,1(69)0.432,2(69)0.269,则00max11max22max(69)0.2490.70.174(69)0.4320.70.302(69)0.2690.70.188cCcmCcmCIiAIiAIiA3.2已知集电极电流余弦脉冲max100mACi,试求通角120,70时集电极电流的直流分量0cI和基波分量1cmI;若CC0.95cmUV,求出两种情况下放大器的效率各为多少?[解](1)120,0()0.406,1()0.53601100.40610040.6mA,0.53610053.6mA()110.5360.9562.7%2()20.406ccmcmcCCIIUV(2)70,0()0.253,1()0.436010.25310025.3mA,0.43610043.6mA10.4360.9581.9%20.253ccmcII3.3已知谐振功率放大器的CC24VV,C0250mAI,5WoP,cmCC0.9UV,6试求该放大器的DP、CP、C以及c1mI、maxCi、。[解]00.25246WDCCCPIV1651W583.3%62250.463A0.924CDooCDocmcmPPPPPPIU11()220.8331.85,500.9CCCcmVgU0max00.251.37()0.183CCIiA3.4一谐振功率放大器,CC30VV,测得C0100mAI,cm28VU,70,求eR、oP和C。[解]0max0100395mA(70)0.253cCIi1max1(70)3950.436172mAcmCIi128163Ω0.172cmecmURI1110.172282.4W22ocmcmPIU2.480%0.130oCDPP3.5已知CC12VV,BE(on)0.6VU,BB0.3VU,放大器工作在临界状态cm10.5VU,要求输出功率o1WP,60,试求该放大器的谐振电阻eR、输入电压imU及集电极效率C。[解]221110.555221cmeoURP10()0.6(0.3)1.8Vcos0.5(60)110.39110.578.5%2(60)20.21812BEBBimcmCCCUonVUUV3.6谐振功率放大器电路如图P3.6所示,试从馈电方式,基极偏置和滤波匹配网络等方面,分析这些电路的特点。[解](a)1V、2V集电极均采用串联馈电方式,基极采用自给偏压电路,1V利用高频扼圈中固有直流电阻来获得反向偏置电压,而2V利用BR获得反向偏置电压。输入端采用L型滤波匹配网络,输出端采用型滤波匹配网络。(b)集电极采用并联馈电方式,基极采用自给偏压电路,由高频扼流圈BL中的直流电阻产生很小的负偏压,输出端由23LC,345CCC构成L型和T型滤波匹配网络,调节34CC和5C使得外接50欧负载电阻在工作频率上变换为放大器所要求的匹配电阻,输入端由1C、2C、1L、6C构成T和L型滤波匹配网络,1C用来调匹配,2C用来调谐振。73.7某谐振功率放大器输出电路的交流通路如图P3.7所示。工作频率为2MHz,已知天线等效电容500PFAC,等效电阻8Ar,若放大器要求80eR,求L和C。[解]先将L、AC等效为电感AL,则AL、C组成L形网络,如图P3.7(s)所示。由图可得801138eeARQr由图又可得/eAAQLr,所以可得6622122626381.91101.91μH2π2101111.91μH12.122μH311298710F2