AC Circuit Analysis PDF

CO 8 C Co Sincot 3R/ E o Sinuoot O -io 2x -e I n ACcirCit hauing only...

CO 8 C Co Sincot 3R/ E o Sinuoot O -io 2x -e I n ACcirCit hauing only R, CuuutT) Valtage (EMe ) e u i n am pha Henc both Phasas tor i e dirn u in Sama makinq a angle cot uoith Ox. Pechonon on vettcal Anis gie thairvalus Phase angl blo e I is za o TF LO eoSincot LoSinpt Phasor Diag for Puly siStive rcuit P w Tnductive Circuit AC Ciruit orth Trducto Consides an A.c. emf e applecd acDss Loductor L L Tnductanc * e=eo Sincot Supliedd emf As Key cloed, Acc. to Farad L a i w l rouo L0 nductor becau sS magnat u inkeal oi itchange inducad emfis Producad uohich OPpose the applied emf.  (9 Acc. to nza la e -L di dt T o maintain o o CwHent io circwit applieal emf e , must 6e equal OPP:to indutad emfe). is Sistaa Acc. to krchoth's Lao a thea no in t h CirCui e--e e- -(-Ld e-L alt dt di= d- Integraing bove. E4 eSincot dt e-eincot Cescot -(i C Constant eh integration i time indpendent ha dimesion CuHent ORcillates about zerD As emf CurTent CUH nt So therL Can not be a n Componant Lohich Can be time indapendent t n a C=z i=-eo Ceauot Sinost) Sincot-)-i) Lo Sin(uut- P e a k value Cunt Lo o *Above Ea iü give A.C. daveloped Lo a pusal, Above induchHue crCuit, hen ConnecRd to a £ouO oAteunating emf e=eo Sincot L lo Sir(cot-  ( 6 10 Compauing Jact t o quation a g Aadians (90) behind Dy phas angl vltage acros L' Jadd O e Cun by R/ Nadia ( So > as aon ini9 =eoSinOt X3% e-Eo&inuot i ioSintot-) e eo eo eoSinuot O 2 io Sinot-E) Lo -eo Phagor * Phaso upregenting peak emf Eo in pualy inductL cireuLt mdke an ang o t in anticloek oisa dir o m hos. ais. Cuwnent Lag behnd voltag by 90 * So Phasor 3upnesenting lo tumaal clocuuoi Lnductu ReactancaXL) Oeposing nata to ttoo C w n t (Ac.) is calleinduttiu actan Inductlue Circit * Tn an Kesisttua CirCuiut So trom 4 Ge cgn Sau that o l Plays ame ouL in induehu cifcuut ASIStou in a pualy Se gis tos Circuitt inductiu Aethexeal b4 inoluctan" l' caleal is SactanL b aiven o l =2xfL Puquony e AC ie inductante is direcRy prop. TD reqwun Cy Ac *In DC Circuita f-o It m e a n s t h a t Pu indluctos t e z l n JngLStana to DC. ie it cannot uUduca OC. Thus it Passes DC4blochs A C ehvey high N quuncy *Io an Lnductiu eireut the selh iduceA Opposes 9 D u o t n ae oell u dicay emf Cument Unih Dimension inoluctHue suatanc a Lgisthna. IS Same Le Onm Incluctiu Lactan ce ds dehined asAatioe acro inducor to voltage (emf ) AMe C t XLf  AC CirCut witn Capactor H Consiclan a Capaci to C Capaci tan e eoincot- eeoSiost* C unt toding tD ugh circuit tHantex Chang t o plote oluè t o o h c h Potenhol d. a s e s b P latto. As C nt uvevees i t dir" in each hal Chaugel Cucla, tnL eapacdto is a l t e n a t dischaxaed Magnitud Chag Potentai ia guan bb e - C Ce -C Eoinat)-2 Dihexenttating9 LOr t t both Side dodt dt Cee,sinot) T Ce (Ceot) o T- Ce..co CCescot ) IAOnes¬fescot I = C.eo. co eot-3  T- e co.C. Ce.cot =I=Cesot Cescot eSinot *) (4 Eq.4 Kepa&enth instantaneous CuAQnt Ln CLr Cuuit C t DL b mOrumumn hn )=1 S o that = Lo incot t Lo Eo - (S i l o Sin(ottA -6 On Compaung Ea H 6 e caan ConeudA AC eircuit Containing only Capauitor AC Cuant'i' Jaads thealtërnatina emf e' by pha ang Kh Hadian eeostnot i =ioQinot e oSinuot -io eo hasor  *Phasor ApHOent peak emf maka an angl Ot in anticlocuoi sa dir oitnwspe to hoH aYus Cuent aads by votage by 90 in tw Pwly Capaciti u ciraut Phasor SA0pAAsentng Lo CU t is tnniol 90 anticlockoi.se d t phasor JapuSEUt emfeo vetichl aus PLoecion ethese pha.sota on give in.stanbänedus valuss s e i. Capacitve ReactancaX) F ePeak ak valuu e A.C. through a capauta eo C) *Acc. to Ohma La R Compaung ci i , we can concludlthat o c ) Play Same sucda in ACcirur a Plauea b R Resictanu in D.C. Ciruut Henca eHectiue suitanu Puuy a e Circuit ve is giuen b Xc rf ffrequan Acsu f