高频电子线路—张肃文(第四版)

第三章(pF)).(L C H)(.QR则L Ω取R Δf f Q (kHz)Δf MHz解：f..159101*********1159********10010100101010121010990101211362620603670036700=⨯⨯⨯⨯===⨯⨯⨯====⨯⨯===⨯-⨯==--ωμω时，产生并联谐振。

C L 或ωC L )当(时，产生串联谐振。

C L 或ωC L )当(时，产生并联谐振。

C L 或ωC L )当解：(22021101220211012202110111311211123======-ωωωR R C L R )LC ωL(j ωR )LC ωLR(j ωC L R C j ωR L j ωR )C j ωL)(R j ω(R 证明：Z =+=-+-++=+++++=-2112111133220020020000 )()()()()())()()()())318010404501053514321121535100160512405354501605151431223202222μH .C C L 故采用后一个不合理舍去pF -得C C C 由pF得C C C 由解：=⨯+⨯⨯⨯⨯='+==+=⨯+=+=⨯+--ω。

L C C ’()()()()mV V Q V V mA .R V I μH ..C L ..R C 解：Q-Sm Com Lom -om om --21210121220510111210100105114321121251010010511432115330312260200126000=⨯⨯====⨯===⨯⨯⨯⨯===⨯⨯⨯⨯⨯⨯==-ωω()()()()()()Ωj ..j .C jR Z Ω.....Q LQ L R pF C pF .L C C C C .V V Q μH .C 解：L X X X X X X X S C 7967471020010143217471747100102531014321052102531014322001001025310143211100101025310100101432116312606666000626200122620-=⨯⨯⨯⨯-=-==⨯⨯⨯⨯-⨯⨯⨯⨯=-==→=⨯⨯⨯⨯==+⋅====⨯⨯⨯⨯==------ωωωωω()()()。

21k Ω0.5R ，R ，故0.5Q Q ，则f 22f 因2Δ320105105552310023100101501052220105010514321173000.70.7660036700012620电阻所以应并上='='∆⨯='=⨯⨯-⨯⨯===⨯⨯===⨯⨯⨯⨯⨯==--.f Δf Q ξΔf f Q μH ..C ω解：L . ∑===-g Q CωΔf f C πf C πΔf 证明：..070007022483()()()()()()()()MHz ...Q f Δf .....L ωR Q k Ω..R C C C C R R R k Ω..C LQ R MHz ....LC πf pF .C C C C C C C 解：C L .L P i P i 4812281064122281080106411432108858855202020209201092010202010801006411031810801432121318202020202020593607066302021102126121260102102=⨯===⨯⨯⨯⨯⨯⨯===⨯⎪⎭⎫⎝⎛++=⎪⎪⎭⎫ ⎝⎛++==⨯+⨯⨯===⨯⨯⨯⨯===++++=++++=--∑∑----)))R Z 30Z 20Z 1123f1f1f1===-解：)()()()())()()()()()()))())()()()()()()Ω.j .j ..Z M Z j ..j C L j R Z pF .L C kHz .R ρf Q f Δf .R R L Q k ΩC R R L Z Ω..R M Z μH ..ηR M pF .L C C μH .ρL L 解：f .f f f P 8437680100201018310143210020101771014321101591014322011771015910950143211522810201022224252020101591014323251015920201015920201018310143221831014322011591015910143211159101432101133266222011126662*********2322022361100706611101112611112662201160116261201216301121-=+⨯⨯⨯⨯==+=⎪⎭⎫⎝⎛⨯⨯⨯⨯-⨯⨯⨯⨯+=⎪⎪⎭⎫⎝⎛'-+==⨯⨯⨯⨯⨯='='=⨯⨯====+⨯⨯⨯⨯=+==⨯⨯+⨯=+==⨯⨯⨯⨯===⨯⨯⨯===⨯⨯⨯⨯====⨯⨯===----------ωωωωωωωωω()100101410222002010159105010159153367.00111236=⨯=∆==→=∴=Ω=⨯⨯⨯⨯==---f f Q M R R C R L R f P 解：)()()()()()()()))013.02001122211222005101001032510102402051010010205101011632207.067101671012671120126722011=⨯-⨯+=⋅-+=∆=⨯⨯===⨯==Ω=+⨯⨯=+=Ω=⨯==-----Q f f R LQ R M k R RL R R M R 解：f ab f ηηωωηωω5.75.22303021103001010112118.111020*********.325.22115.2225.11103001010112111732332001230233200=-='-=→=⎪⎪⎭⎫⎝⎛⨯⨯+=⎪⎪⎭⎫ ⎝⎛∆+==⨯⨯⨯⨯⨯⨯==='→=⎪⎪⎭⎫ ⎝⎛⨯⨯'+=⎪⎪⎭⎫ ⎝⎛∆'+=--Q Q Q Q f f Q I I C Q R Q Q ff Q I I 解：ω()⎩⎨⎧==→⎪⎪⎩⎪⎪⎨⎧+==-μL μH L 并联联谐C L L ω串联联谐C L ω解：12537511218321212第四章5102501050501501时，5012.1102501020501501时，20491025010501501时，154266200266200266200=⎪⎪⎭⎫ ⎝⎛⨯⨯⨯+=⎪⎪⎭⎫ ⎝⎛+===⎪⎪⎭⎫ ⎝⎛⨯⨯⨯+=⎪⎪⎭⎫ ⎝⎛+===⎪⎪⎭⎫ ⎝⎛⨯⨯+=⎪⎪⎭⎫ ⎝⎛+==-TT T f f ββMHz f f f ββMHz f f f ββMHz f βββ当当解：当()()()()()()()()()()()()()()()()()()()()mS j .j .j b a jb a g r C j b a jb a C j g g r C j g y mS j .j b a jb a g y mS j .j .j b a jb a C j g y mS .j ..j .j b a jb a C j g y ..r ωC b .g r a pF ..πf g C mS ..r βg mS .βI g mb bc b c b c b m b b c b ce oe m fe c b cb re e b e b ieb b e b e b b b T m eb eb m E e b 68.0049.01011.01107.377011031014321733.3327.371011.01107.37187.00187.01011.0110310143241189501011.01102410143210754.010701024101432110754070112410250143210737273710754050754015026112674223127222222322221272222127322127363300+=⎪⎭⎫ ⎝⎛+-⨯⨯⨯+⨯⨯⨯⨯≈⎪⎭⎫⎝⎛+-+≈+-+++=-=+-⨯⨯=+-=--=+-⨯⨯⨯⨯⨯-≈+-+-=+=+-⨯⨯⨯⨯⨯+⨯=+-+=≈⨯⨯⨯⨯⨯==≈⨯⨯+=+==⨯⨯⨯⨯===⨯⨯===+⨯=+=---''''''--''--''-''-''-'-''ωωωωω解：()()()()4124142701010042104010041704070121101241104221104210124212422124284--=⎪⎪⎭⎫⎝⎛-⎪⎪⎭⎫ ⎝⎛-==⋅⎪⎪⎭⎫ ⎝⎛-==⎪⎪⎭⎫⎝⎛+=⎪⎪⎭⎫ ⎝⎛⋅⎪⎪⎭⎫ ⎝⎛-==⎪⎪⎭⎫⎝⎛+=⎪⎪⎭⎫⎝⎛-m mmm ...r m .m.mvo v m .m.mvo v Δf Δf K Qf Δf f ΔfQ A A Qf Δf f Δf Q A A 故得令得解：令()()()()()()()()()1103101045952110830081020010286021830082501020025010237952258854tan 2tan 431100316116570316107102316104107102105228113151********5228104525025052281028604110200411023723710410010710211250205250205943326662262621222206070666022632162626222166001345213231>>⨯⨯+⨯+⨯⨯⨯=+'++=⨯⨯+⨯=+='-=--=+==⎪⎭⎫⎝⎛-=⎪⎪⎭⎫ ⎝⎛-==⨯===⨯⨯⨯⨯⨯⨯======⨯⨯⨯⨯===⨯⨯+⨯⨯+⨯=++==⨯⨯⨯⨯⨯========-----------------∑-...y y ξg g g g S μS ....p g p g g ..ξ..Q Q K MH ...Q f Δf ..π.L ωg Q ..A A ....g y p p A μS ..g p g p g g μS ..πL Q ωg .N N p .N N p refe L oe ie s ie p L oo re fe L Z L .ΣL vo po Σfevo ie oe p p ϕϕ解：()()()()()()()()()()()()()()()()()()()()7221698266804238225025668042479479610444454782122259044546104422610441222565197445412212243822502578213445410158010410710143222782115802438303015801503008203010037010370104107101432100111104444447070707041707041704147044436260070222122222156600..-.A A ..A A ....f ΔΔf A A kHz ...Δf f ΔkHz .Δf f ΔkHz ..Δf Δf ..A A kHz ....f Lg ωΔf .....g y p p A mS .......g p g p R g g mS ...L ωQ g vovo vo vo..vo vo......vo vo .fevo ie oe p p =='-=='='=⨯='='=-=-'=-='=⨯-=⋅-=====⨯⨯⨯⨯⨯⨯⨯===+⨯⨯===⨯+⨯++=+++==⨯⨯⨯⨯⨯⨯==---∑∑∑-解：()()()()不能满足解：9.1K 522106250110511432121625011830500114r0.1122620221<=⨯⨯⨯⨯⨯===⨯+=+=--∑∑μH ....C πf L pF ..C p C C oe()74.73.05.24.364.265.2144220=⨯+==-refe S vo C y A ω解：()()()()()()()163910601046522260104910100410465274104921040574513114910010100010465210620574513491001010001046521020100440574513100010044100012051373118607311873118118101000104652111741030706123121206321123320202236123601012222236112563423612231201.K kH .Q f Δf πg C ωQ ..g y p p A μS π...Q C ωg p g μS πQ C ωg g pF ..C p C C pF C C C .L L L L μH πC ωL .r Z L .L fevo i o i o ==⨯⨯===⨯⨯⨯⨯⨯===⨯⨯⨯⨯⨯===∴=⨯⨯⨯⨯+⨯⨯⎪⎭⎫ ⎝⎛=+==⨯⨯⨯⨯+⨯=+==⨯⎪⎭⎫⎝⎛+=+==+=+==⨯+⨯+=++==⨯⨯⨯⨯==----------，则。