Dareeraha Korontada

Mawduuca Goobta Korontada , waxaan ka wada hadalnay qeexidda iyo qaacidada goobta korontada ee loo isticmaali karo in lagu xisaabiyo xoogga goobta korontada ee ay soo saarto hal dallac koronto, dhowr dallac koronto ama qaybinta dallac koronto. Xisaabinta xoogga goobta korontada ee ay soo saarto dallac koronto ama laba dallac koronto si fudud ayaa loo xallin karaa iyadoo la adeegsanayo qaacidada xoogga goobta korontada. Haddii waxa la xisaabiyo ay tahay xoogga goobta korontada ee ay soo saarto qaybinta dallac koronto, xisaabintu way ka sii adag tahay haddii la isticmaalayo qaacidada xoogga goobta korontada laakiin way fududahay haddii la isticmaalayo sharciga Gauss . Kahor intaadan si qoto dheer u baran sharciga Gauss, marka hore faham qulqulka korantada sababtoo ah fikradda qulqulka korontada waxaa loo isticmaalaa sharciga Gauss.

Fahmidda Dareeraha Korontada

Ereyga qulqulka wuxuu ka yimid ereyga Laatiinka, fluere , oo macnaheedu yahay socodka. Macnaha, qulqulka korontada waxaa lagu qeexi karaa socodka garoonka korontada. Ereyga socodka halkan ma tilmaamayo goob koronto oo u socota sida biyaha socda, laakiin wuxuu qeexayaa joogitaanka goob koronto oo tilmaamaysa jiho gaar ah. Mawduuca Khadadka Goobta Korontada, waxaa lagu sharaxay in goobaha korontada lagu sawiray ama lagu sawiray iyadoo la adeegsanayo khadadka goobta korontada, sidaas darteed qulqulka waxaa sidoo kale lagu sawiray khadadka goobta korontada. Markaa qulqulka waa khadadka goobta korontada ee dhex mara meel gaar ah, sida lagu muujiyay sawirka hoose.

Qaaciddada 

Xisaab ahaan, qulqulka korontadu waa natiijada ka soo baxda goobta korantada (E), bedka dusha sare (A) iyo cosine-ka xagasha u dhaxaysa Dareeraha Korontada 1Khadadka garoonka korontada oo leh khadad caadi ah oo ku toosan dusha sare.

Φ = EA cos θ …………. (Isleeg 1)

Haddii khadadka garoonka korontada ay ku toosan yihiin aagga dusha sare ee ay maraan sida sawirka ku cad, markaa xagasha u dhaxaysa khadadka garoonka korontada iyo khadka caadiga ah waa 0o, halkaas oo cos 0o = 1. Sidaas darteed qaacidada Dareeraha Korontada 2loo beddelay:

Φ = EA cos 0o = EA (1)
Φ = EA …………. (Isleeg 2)

Iyada oo lagu saleynayo qaacidada qulqulka ee kor ku xusan, dhowr waxyaalood ayaa la soo gabagabeyn karaa. Marka hore , qulqulka wuxuu gaarayaa qiimahiisa ugu sarreeya marka khadka garoonka korontada uu ku toosan yahay aagga dusha sare sababtoo ah xaaladdaas xagasha u dhaxaysa khadka garoonka korontada iyo khadka caadiga ah waa 0 o , halkaas oo qiimaha cosine ee 0 o uu yahay 1. Marka labaad , qulqulka wuxuu gaarayaa qiimahiisa ugu yar marka khadka garoonka korontada uu la siman yahay aagga dusha sare sababtoo ah xaaladdaas xagasha u dhaxaysa khadka garoonka korontada iyo khadka caadiga ah waa 90 o , halkaas oo qiimaha cosine ee 90 o uu yahay 0. Saddexaad , qulqulka wuxuu ku xiran yahay goobta korontada (E) iyo aagga dusha sare (A). Marka laga soo tago aagga dusha sare ee leydi ah sida tusaalaha kore, aagga dusha sare wuxuu sidoo kale noqon karaa mid wareegsan iyo kuwa kale.

Dusha Daboolan

Dareeraha korantada ee hore loo sharraxay wuxuu isticmaalay tusaale ahaan dusha furan (aagga dusha sare ee laba jibbaaran ama leydi ah). Ka warran dareeraha dusha xiran sida saddexjibbaaran, baloog, ama wareeg? Bal qiyaas in ay jiraan xariiqyo goob koronto oo dhex mara baloogga, sida ku cad sawirka hoose.
Xariiqyada goobta korantada ee midabka buluugga ah waxay la jaanqaadaan dusha sare iyo hoose ee alwaaxa si ay u sameeyaan xagal 90 aho iyadoo la adeegsanayo khadadka caadiga ah ee dusha sare iyo hoose. Sidaas darteed qulqulka dusha sare iyo hoose ee alwaaxa waa Φ = EA cos 90o = EA (0) = 0.

Dareeraha Korontada 3Xariiqyada garoonka korontada ee midabka jaalaha ah waxay la jaanqaadaan dusha sare ee dhinaca midig iyo bidix ee alwaaxa si ay u sameeyaan xagal 90 aho iyadoo la adeegsanayo khadadka caadiga ah ee dusha sare ee bidix iyo midig. Sidaas darteed qulqulka dusha sare ee dhinaca midig iyo bidix ee baloogga waa Φ = EA cos 90o = EA (0) = 0.
Xariiqyada garoonka korontada ee casaanka ah ayaa ku toosan dusha sare ee hore iyo gadaal ee baloogga, iyagoo samaynaya xagal 0 ah.o iyadoo la adeegsanayo khadadka caadiga ah ee dusha sare ee hore iyo gadaal. Sidaas darteed qulqulka waa Φ = EA cos 0o = EA (1) = E A.

Sawirka kore, khadadka garoonka korantada ee cas ayaa lagu arkayaa iyagoo u dhaqaaqaya baloogga ka dibna ka baxaya baloogga. Marka khadadka garoonka korontada ay u guuraan baloogga sidii iyadoo dallac taban uu ku jiro baloogga, qulqulka korontadu waa taban. Taas beddelkeeda, marka khadadka garoonka korontada ay ka baxaan baloogga sidii iyadoo dallac togan uu ku jiro baloogga, qulqulka korontadu waa togan. Si tayo leh ama aan xisaabin lahayn, haddii tirada khadadka garoonka korontada ee galaya baloogga ay la mid tahay tirada khadadka garoonka korontada ee ka baxaya baloogga, qulqulka ka dhasha waa eber. Tiro ahaan ama iyadoo la adeegsanayo xisaabinta, qulqulka korantada ee ka dhasha ee dhex mara baloogga waxaa loo xisaabiyaa sidan soo socota: qulqulka soo socda = Φ 1 = – EA cos 0 o = – EA (1) = -EA iyo qulqulka baxaya = Φ 2 = + EA cos 0 o = + EA (1) = +E A. Wadarta qulqulka waa Φ = -Φ 1 + Φ 2 = -EA + EA = 0.

Iyadoo lagu saleynayo xisaabinta kor ku xusan, waxaa lagu soo gabagabeynayaa in wadarta qulqulka dhex mara baloogga, sida ka muuqata sawirka kore, ay tahay eber. Waxaa la dhihi karaa wadarta qulqulka waa eber sababtoo ah ma jiro kharash koronto oo ku jira baloogga. Sidaa darteed, haddii aysan jirin kharash koronto oo ku jira dusha xiran sida baloog, kube, wareeg, ama shay kale, wadarta qulqulka waa eber. Ka waran haddii uu jiro kharash koronto oo ku jira dusha xiran?

Bal qiyaas in uu jiro koronto ku jirta bartamaha wareegga sida ku cad sawirka midig. Afarta xariiq ee goobta korantada ee la sawiray waxay matalaan khadadka kale ee korontada ee ka soo baxa bartamaha wareegga oo ku toosan dusha sare ee wareegga. Khad kastaa wuxuu ku toosan yahay dusha sare ee wareegga uu dhex maro, isagoo samaynaya xagal 0 ° ah oo xariiqda caadiga ah ay ku toosan tahay dusha sare ee wareegga.

Socodka korantada ee ku jira goobta:

Qaacidada xoogga goobta korantada waa E = k Q / r 2 qaacidada loogu talagalay bedka dusha sare ee kubbadda waa A = 4 π r 2 si qaacidada qulqulka ay u beddesho:

Dareeraha Korontada 5

Haddii xaraashka ku yaal bartamaha wareegga uu yahay +2Q markaas qulqulka kubbadda waa

Dareeraha Korontada 6

Iyada oo lagu saleynayo qaacidada kore, waxaa lagu soo gabagabeynayaa haddii uu jiro dallac koronto oo ku jira dusha sare ee wareegsan ee xiran, markaa qiimaha qulqulka ee kubbadda kuma xirna dhexroorka ama radius-ka kubbadda. Qiimaha qulqulka waa 4πk oo la eg wadarta dallacaadda korantada ee gudaha kubbadda ama 1/ε o oo la eg wadarta dallacaadda korontada ee gudaha kubbadda.

Cutubka Dareeraha Korontada

Qaacidada aasaasiga ah ee qulqulka waa Φ = EA, halkaas oo E ay tahay xoogga goobta korantada iyo A ay tahay aagga dusha sare. Cutubka goobta korontada waa Newton halkii Coulomb (N/C) cutubka aagga dusha sarena waa mitir laba jibbaaran (m2 ) sidaa darteed cutubka qulqulka waa mitir laba jibbaaran oo Newton halkii Coulomb (Nm 2 /C).

 

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