Mu nkhani ya Electric Field , takambirana tanthauzo ndi njira ya magetsi yomwe ingagwiritsidwe ntchito kuwerengera mphamvu ya magetsi yomwe imapangidwa ndi chaji imodzi yamagetsi, ma chaji angapo amagetsi kapena kugawa kwa ma chaji amagetsi. Kuwerengera mphamvu ya magetsi yomwe imapangidwa ndi chaji imodzi yamagetsi kapena ma chaji awiri amagetsi kumathetsedwa mosavuta pogwiritsa ntchito njira yamagetsi yamagetsi. Ngati chomwe chimawerengedwa ndi mphamvu yamagetsi yomwe imapangidwa ndi kugawa kwa chaji yamagetsi, kuwerengera kumakhala kovuta kwambiri ngati mukugwiritsa ntchito njira yamagetsi yamagetsi koma ndikosavuta ngati mukugwiritsa ntchito lamulo la Gauss . Musanaphunzire mozama lamulo la Gauss, choyamba mvetsetsani kusuntha kwamagetsi chifukwa lingaliro la kusuntha kwamagetsi limagwiritsidwa ntchito mu lamulo la Gauss.
Kumvetsetsa Kuthamanga kwa Magetsi
Mawu akuti flux amachokera ku liwu la Chilatini, fluere , lomwe limatanthauza kuyenda. Kwenikweni, flux yamagetsi imatha kutanthauzidwa ngati kuyenda kwa munda wamagetsi. Mawu akuti flow pano sakutanthauza munda wamagetsi womwe ukuyenda ngati madzi oyenda, koma amafotokoza kukhalapo kwa munda wamagetsi womwe umaloza mbali inayake. Pankhani ya Mizere Yamagetsi, adafotokozedwa kuti minda yamagetsi imawonetsedwa kapena kujambulidwa pogwiritsa ntchito mizere yamagetsi, chifukwa chake flux imawonetsedwanso ngati mizere yamagetsi. Chifukwa chake flux ndi mizere yamagetsi yomwe imadutsa pamalo enaake, monga momwe chithunzi chili pansipa chikusonyezera.
Fomula
Mwa masamu, kutuluka kwa magetsi ndi chinthu chomwe chimachokera ku gawo lamagetsi (E), malo ozungulira (A) ndi cosine ya ngodya pakati pa
mizere yamagetsi yokhala ndi mizere yanthawi zonse yolunjika pamwamba.
Φ = EA cos θ …………. (Chiyerekezo 1)
Ngati mizere yamagetsi ili yolunjika pamalo omwe imadutsa monga momwe zilili pachithunzichi, ndiye kuti ngodya pakati pa mizere yamagetsi ndi mzere wabwinobwino ndi 0o, komwe 0o = 1. Motero njira
yasinthidwa kukhala:
Φ = EA cos 0o = EA (1)
Φ = EA …………. (Chiyerekezo 2)
Kutengera ndi njira yolumikizira yomwe ili pamwambapa, zinthu zingapo zitha kutsimikizika. Choyamba , flux imakhala pamtengo wake wapamwamba kwambiri pamene mzere wamagetsi uli wolunjika kudera lapamwamba chifukwa mu mkhalidwe umenewo ngodya pakati pa mzere wamagetsi ndi mzere wamba ndi 0 o , pomwe mtengo wa cosine wa 0 o ndi 1. Chachiwiri , flux imakhala pamtengo wake wocheperako pamene mzere wamagetsi uli wofanana ndi dera lapamwamba chifukwa mu mkhalidwe umenewo ngodya pakati pa mzere wamagetsi ndi mzere wamba ndi 90 o , pomwe mtengo wa cosine wa 90 o ndi 0. Chachitatu , flux imadalira munda wamagetsi (E) ndi dera lapamwamba (A). Kuphatikiza pa dera la rectangular monga momwe zilili pachitsanzo pamwambapa, dera lapamwamba likhozanso kukhala lozungulira ndi zina.
Malo Ophimbidwa
Kayendedwe ka magetsi komwe kafotokozedwa kale kanagwiritsa ntchito chitsanzo cha malo otseguka (malo ozungulira kapena ozungulira). Nanga bwanji kayendedwe ka madzi pamalo otsekedwa monga cube, block, kapena sphere? Tiyerekeze kuti pali mizere yamagetsi yomwe imadutsa mu block, monga momwe zilili pachithunzi chili pansipa.
Mizere yamagetsi yamtundu wabuluu imagwirizana ndi pamwamba ndi pansi pa mtanda kuti ipange ngodya ya 90o ndi mizere yachibadwa ya pamwamba ndi pansi. Motero kutuluka kwa madzi pamwamba ndi pansi pa mtanda ndi Φ = EA cos 90o = EA (0) = 0.
Mizere yamagetsi yachikasu imagwirizana ndi mbali yakumanja ndi yakumanzere ya mtanda kotero kuti imapanga ngodya 90o ndi mizere yachibadwa ya mbali yakumanzere ndi yakumanja. Motero kutuluka kwa madzi pa mbali yakumanja ndi yakumanzere ya chipikacho ndi Φ = EA cos 90o = EA (0) = 0.
Mizere yamagetsi yokhala ndi utoto wofiira imakhala yolunjika kutsogolo ndi kumbuyo kwa chipikacho, ndikupanga ngodya ya 0o ndi mizere yachibadwa ya malo akutsogolo ndi akumbuyo. Motero kutuluka kwake ndi Φ = EA cos 0o = EA (1) = E A.
Mu chithunzi pamwambapa, mizere yofiira yamagetsi ikuwoneka ikusunthira mu chipika kenako nkutuluka mu chipikacho. Pamene mizere yamagetsi ikuyenda mu chipikacho ngati kuti pali negative charge mu chipikacho, flux imakhala negative. Mosiyana ndi zimenezi, pamene mizere yamagetsi ikuyenda kuchokera mu chipikacho ngati kuti pali positive charge mu chipikacho, flux yamagetsi imakhala positive. Mwa mtundu kapena popanda kuwerengera, ngati chiwerengero cha mizere yamagetsi yolowera mu chipikacho ndi chofanana ndi chiwerengero cha mizere yamagetsi yochoka mu chipikacho, flux yotsatira ndi zero. Mwa kuchuluka kapena pogwiritsa ntchito kuwerengera, flux yamagetsi yotsatira yomwe imadutsa mu chipikacho imawerengedwa motere: flux yolowera = Φ 1 = – EA cos 0 o = – EA (1) = -EA ndi flux yotuluka = Φ 2 = + EA cos 0 o = + EA (1) = +E A. Kuthamanga konse ndi Φ = -Φ 1 + Φ 2 = -EA + EA = 0.
Kutengera ndi mawerengedwe omwe ali pamwambapa, zatsimikiziridwa kuti kuchuluka kwa madzi omwe akudutsa mu chipikacho, monga momwe zasonyezedwera pachithunzi pamwambapa, ndi zero. Tinganene kuti kuchuluka kwa madzi omwe akudutsa mu chipikacho ndi zero chifukwa palibe magetsi mkati mwa chipikacho. Chifukwa chake, ngati palibe magetsi mkati mwa malo otsekedwa monga chipika, kyubu, sikweya, kapena chinthu china, kuchuluka kwa madzi komwe kumatuluka ndi zero. Nanga bwanji ngati pali magetsi mkati mwa malo otsekedwa?
Tiyerekeze kuti pali mphamvu yamagetsi pakati pa bwalo monga momwe zasonyezedwera pachithunzi chakumanja. Mizere inayi yamagetsi yomwe yawonetsedwa ikuyimira mizere ina yamagetsi yomwe imayenda kuchokera pakati pa bwalo mpaka pamwamba pa bwalo. Mzere uliwonse ndi wolunjika pamwamba pa bwalo lomwe umadutsa, ndikupanga ngodya ya 0 ° ndi mzere wamba wolunjika pamwamba pa bwalo.
Kutuluka kwa magetsi m'bwalo:
Fomula ya mphamvu yamagetsi ndi E = k Q / r 2 ndipo fomula ya pamwamba pa dera la mpira ndi A = 4 π r 2 kotero kuti fomula ya flux imasintha kukhala:
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Ngati mphamvu yomwe ili pakati pa bolodi ndi +2Q ndiye kuti kusinthasintha kwa bolodi ndi
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Kutengera ndi njira yomwe ili pamwambapa, zatsimikiziridwa kuti ngati pali mphamvu yamagetsi mkati mwa malo ozungulira otsekedwa, ndiye kuti mphamvu yamagetsi mu derali sidalira kukula kapena utali wa derali. Mphamvu yamagetsi ndi nthawi 4πk kuposa mphamvu yonse yamagetsi mkati mwa derali kapena nthawi 1/ε o kuposa mphamvu yonse yamagetsi mkati mwa derali.
Chigawo cha Magetsi Chotulutsa Madzi
Fomula yoyambira ya flux ndi Φ = EA, pomwe E ndiye mphamvu yamagetsi ndipo A ndiye malo apamwamba. Gawo lamagetsi ndi Newton pa Coulomb (N/C) ndipo gawo la malo apamwamba ndi mita ya sikweya (m 2 ) kotero gawo la flux ndi mita ya sikweya ya Newton pa Coulomb (Nm 2 /C).