Série-1- Circuit RLC 2008-2009

EWCFF TGEH[F IHVYJVGIO ,[v`gs,

Ko{f =,

SFYGF,?, CGYCVG[ YEC

;flf L 2 Sc fq . [ Yfn = Sçygf,?, Cgycvg{ YEC 9441,9447

NFYCAGHV Fqfycgcf `´ = ? H` yçoegsf v` cgycvg{ çefc{ygqvf scaçlo{gsç scaçlo{gsç cg,kfsshvs f{ chltyf`o`{ v` jç`çyo{fvy jç`çyo{fvy I.N. kçeg~yo`{ v`f {f`sgh` sg`vshèkoef v!{' < Vl sg`! 9n{ ' k‗olteg{vkf Vl ch`s{o`{f kf nyçqvf`cf n ~oygoief % ov ihy`fs kvqvfe sh`{ sh`{ kgsthsçs f` sçygf ef ef ch`kf`so{fvy ch`kf`so{fvy kf cotocg{ç cotocg{ç C < ?N % v`f ihig`f kf yçsgs{o`cf y f{ k‗g`kvc{o`cf E < 4%4?A f{ v` yçsgs{hy kf yçsgs{o`cf Y. C

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Jç`çyo{fvy IN

^hgf !?' Y

^hgf !9' Lossf

Hscgeehschtf

H` sf tyhthsf kf ~gsvoegsfy svy e‗çcyo` k‗v` hscgeehschtf ä kfv ~hgfs =  eo {f`sgh` v!{'   ~hgf !?'.  eo {f`sgh` vY!{'   ~hgf !9'. cgycvg{ çefc{ygqvf kf eo ?´' F{oiegy ä e‗ogkf k‗v` {yocç ceogy efs ch``fgh`s `çcfssogyfs f`{yf ef cgycvg{ ngjvyf,?, f{ e‗hscgeehschtf.

9´' F{oiegy e‗çqvo{gh` yfego`{ g % so kçyg~çf tyflgáyf tyglg{g~f

kg k{

f{ so v f` ^ vY f` ^

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Shg{ g!{' < Gl sg`! 9n{ " g ' eo shev{gh` kf cf{{f çqvo{gh` .

3´' o' Fqtçygf`cf `´? H` omvs{f eo nyçqvf`cf n ä eo ~oefvy n4 chyyfsth`ko`{ ä eo nyçqvf`cf tyhtyf kv kgtûef !E%C' . H` hi{gf`{ efs kgojyollfs kf eo ngjvyf cg,otyás.

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qvf% toylg toylg efs kfv kfv , Lh`{yfy qvf% sgj`ov qvg ch`s{g{vf`{ cf{{f ngjvyf% cfevg owo`{ e‗olteg{vkf eo tevs çef~çf chyyfsth`k ä eo {f`sgh` v!{'. ?( ;

, Lh`{yfy qvf

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i' Fqtçygf`cf `´9 O toy{gy kf cf{{f ~oefvy n4% h` nog{ ~oygfy eo nyçqvf`cf n yçqvf`cf n kf eo {f`sgh` fcg{o{ygcf v!{' mvsqv‗ä yf`kyf cf{{f kfy`gáyf kçtaosçf kf

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toy yotthy{ ov chvyo`{ g!{'. Eo Eo `hv~feef ~oefvy kf eo

nyçqvf`cf fs{ oehys n ? < ?69; A}. ,Kgyf% f` ef mvs{gngo`{% sg ef cgycvg{ fs{ g`kvc{gn hv cotocg{gn. ,Nogyf eo ch`s{yvc{gh` kf Nyfs`fe f` {f`o`{ chlt{f kfs kh``çfs kf cf{{f ftçygf`cf ftçygf` cf `´9 f{ lh`{yfy lh`{ yfy qvf Y"y<

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  ?    9n? .E  .    9n? .C  

, Coecvefy Y f{ y c' Kç{fylg`fy ef noc{fvy kf qvoeg{ç _ kf cf{ hscgeeo{fvy.

FQFYCGCF 9 !Ioc 71' Ef cgycvg{ çefc{ygqvf kf eo ngjvyf cg otyás chlthy{f f` sçygf sçygf = , v` yçsgs{hy ! Y ' kf yçsgs{o`cf Y < 14 . , v`f ihig`f !I' k*g`kvc{o`cf E f{ kf yçsgs{o`cf tyhtyf y. , v` ch`kf`so{fvy !C' kf cotocg{ç C < ??%6N. V` jç`çyo{fvy !J' glthsf ov ihy`fs K f{ L kf e*f`sflief r!Y' % !I' % !C'| v`f {f`sgh` oe{fy`o{g~f sg`vshèkoef v!{' < VKL 9 sg`! 9n{ "v ' kf nyçqvf`cf n yçjeoief f{ kf ~oefvy fnngcocf VKL ch`s{o`{f . V` ~he{lá{yf !^?' iyo`caç ov ihy`fs K f{ @ kf e*f`sflief r!I'% !C'| lfsvyf eo ~oefvy kf eo {f`sgh` fnngcocf VK@ V` ~he{lá{yf !^9' iyo`caç ov ihy`fs @ f{ L kf !Y' lfsvyf eo ~oefvy kf eo {f`sgh` fnngcocf V@L. Ehysqv*h` omvs{f eo nyçqvf`cf n ä eo ~oefvy 64 A} % v` hscgeehjyotaf igchvyif ä kfv f`{yçfs W? f{ W9 ch`~f`oieflf`{ iyo`caçfs svy ef cgycvg{ çefc{ygqvf çefc{ygqvf nhvy`g{ efs kfv hscgeehjyollfs !S' f{ !S*' .

?´' F` v{gegso`{ efs hscgeehjyollfs = 9( ;

o' Lh`{yfy qvf e*hscgeehjyollf !S' chyyfsth`k ä eo {f`sgh` v!{'. O qvhg chyyfsth`k e*hscgeehjyollf !S' 8 _vfeef jyo`kfvy çefc{ygqvf% ov{yf qvf eo {f`sgh`% tfv{ í{yf kç{fylg`çf ä toy{gy kf e*hscgeehjyollf !S*' 8 i' Kç{fylg`fy ef kçtaosojf  < !v , g ' kf eo {f`sgh` v!{' toy yotthy{ ov chvyo`{ g!{' < Gf 9 sg`! 9{n{ " g ' qvg toychvy{ ef cgycvg{ çefc{ygqvf oeglf`{ç toy ef jç`çyo{fvy !J' . Kçkvgyf sg cf cgycvg{ çefc{ygqvf fs{ g`kvc{gn% cotocg{gn hv yçsgs{gn. c' Tyçcgsfy eo ~oefvy kf e*olteg{vkf f{ kf eo taosf kf v!{' f{ kf g!{'. 9´' E*çqvo{gh` yfego`{ g!{'% so kçyg~çf tyflgáyf

kg!{' f{ so tyglg{g~f gk{ fs{ = k{

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? kg!{' gk{ < v!{' @hvs o~h`s o~h`s {yocç kfv ch`s{yvc{gh`s ch`s{yvc{gh`s kf Nyfs`fe Nyfs`fe " C k{ g`chlteá{fs ! ngjvyf,;,o f{ ngjvyf,;,i '. mvs{gngo`{% eoqvfeef toylg cfs cfs kfv kfv ch`s{yvc{gh`s cfeef qvg chyyfsth`k ä o' Lh`{yfy% f` ef mvs{gngo`{% e*çqvo{gh` kçcyg~o`{ ef cgycvg{. i' Chlteç{fy eo ch`s{yvc{gh` kf Nyfs`fe cahgsgf f` {yoêo`{ % ko`s e*hykyf svg~o`{ f{ sfeh` ? gk{  f{ E kg!{' . e*çcafeef g`kgqvçf % efs ~fc{fvys kf Nyfs`fe yftyçsf`{o`{ yg!{' % C k{ c' F` kçkvgyf eo ~oefvy kf y f{ E. Kç{fylg`fy eo {f`sgh` g`s{o`{o`çf vK@!{'

Yg!{' " yg!{' "E

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3´' Kh``fy e*ftyfssgh` kf e*olteg{vkf Glo kf e*g`{f`sg{ç g`s{o`{o`çf kv chvyo`{ çefc{ygqvf f` nh`c{gh` kf VKLlo % Y % y % E % C f{ n . F` kçkvgyf e*ftyfssgh` kf kf e*olteg{vkf _lo kf eo caoyjf g`s{o`{o`çf kv ch`kf`so{fvy ch`kf`so{fvy f` nh`c{gh` kfs lílfs kh``çfs. ;' Thvy v`f nyçqvf`cf @? kv jç`çyo{fvy IN% h` ~gsvoegsf svy e‗çcyo` kf e‗hscgeehschtf e‗hscgeehschtf efs {f`sgh`s vc ov ihy`fs kv ch`kf`so{fvy f{ v ov ihy`fs kv jç`çyo{fvy. E‗hscgeehjyollf hi{f`v fs{ kh``ç toy eo ngjvyf vc 2 v!^' svg~o`{f >?%7 o, Gkf`{gngfy efs chvyifs C? f{ C9 C9 i, Lh`{yfy qvf ef cgycvg{ fs{ ef sgájf k‗v`f yçsh`o`cf k‗g`{f`sg{ç. Coecvefy eo nyçqvf`cf @?. 9;%6 C? c, Coecvefy ef noc{fvy kf svy{f`sgh` _ ä eo yçsh`o`cf. { k, _vfe fs{ e‗fnnf{ svy _ k‗v`f ovjlf`{o{gh` kf = , eo yçsgs{o`cf. , e‗g`kvc{o`cf E. , kf eo cotocg{ç C .

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