Qaacidada Awoodda Korontada
Pendahuluan
Awoodda korontadu waa fikrad aasaasi ah oo ku jirta fiisikiska korontada kaas oo qeexaya tamarta awoodda korontadu halkii cutub ee ku jirta meel ka mid ah goobta korontada. Waxay door muhiim ah ka ciyaartaa codsiyo kala duwan, oo ay ku jiraan naqshadeynta wareegyada korantada, fahamka ifafaalooyinka korantada iyo birlabta, iyo falanqaynta dhaqanka walxaha la dallacay. Maqaalkani wuxuu ka hadli doonaa qeexidda awoodda korantada, qaacidooyinka la xiriira, fikradda goobaha korontada, codsigeeda nolol maalmeedka, iyo tusaalooyin si loo qoto dheereeyo fahamka.
Qeexidda Awoodda Korontada
Awoodda korantada ee ku taal meel ka mid ah goobta korontada waxaa lagu qeexaa tirada shaqada la qabtay si loogu raro dallacaadda cutubka laga bilaabo barta tixraaca (badanaa aan dhammaad lahayn) ilaa meeshaas. Xisaab ahaan, awoodda korantada (\(V\)) waxaa lagu muujiyaa cutubyo volts ah (V) waxaana loo qaabeyn karaa sidan:
\[ V = \frac{W}{q} \]
Halkee:
– \(V\) waa awoodda korantada,
– \(W\) waa shaqada la qabtay si loo dhaqaajiyo kharashka,
– \(q\) waa baaxadda kharashka.
Qaacidada Awoodda Korontada ee Ilaha Barta
Marka la soo saaro goob koronto oo la saaro, awoodda korantada ee fog (r) ee laga helo khidmadda waxaa bixiya:
\[ V = \frac{kQ}{r} \]
Halkee:
– \(V\) waa awoodda korantada,
– \(k\) waa joogtada Coulomb (\(8.99 \times 10^9 \, \text{N m}^2/\text{C}^2\)),
– \(Q\) waa baaxadda kharashka,
– \(r\) waa masaafada u dhaxaysa kharashka ilaa meesha awoodda lagu cabbiro.
Goobta Korontada iyo Awoodda Korontada
Goobta korantada (\(E\)) waa tiro vektor ah oo qeexaysa xoogga halkii cutub ee uu ku dhaco kharashka tijaabada meel bannaan. Xiriirka ka dhexeeya goobta korontada iyo awoodda korantada waxaa lagu tilmaami karaa sidan:
\[ \vec{E} = -\nabla V \]
Halkee:
– \(\vec{E}\) waa goobta korontada,
– \(\nabla V\) waa heerka awoodda korantada.
Awoodda Korontada ee Kharashyo Dhowr ah
Haddii ay jiraan dhowr dalac oo dhibco ah, wadarta awoodda korantada ee dhibicda waa wadarta aljabrada ee awoodaha korantada ee ay soo saarto dalac kasta. Xisaab ahaan, dalacyada \(Q_1, Q_2, \ldots, Q_n\) oo ku yaal meel fog \(r_1, r_2, \ldots, r_n\) laga bilaabo barta, wadarta awoodda korantada \(V_{wadarta}\) waa:
\[ V_{wadarta} = \sum_{i=1}^{n} \frac{kQ_i}{r_i} \]
Awoodda Korontada ee Kondhoolayaasha
Kondurka korontada, dallacaadaha bilaashka ah si fudud ayay u dhaqaaqi karaan. Natiijo ahaan, goobta korontada ee ku jirta kondurku waa eber, awoodda korontaduna waa mid joogto ah oo dhan kondurku. Taas macnaheedu waa haddii aan isku xirno laba dhibcood oo kondurku ku jiro, ma jiro farqi suurtagal ah oo u dhexeeya.
Adeegsiga Awoodda Korontada ee Nolol Maalmeed
Baytariyada iyo Wareegyada Korontada
Baytarigu waa isha awoodda korantada oo abuurta farqi suurtagal ah oo u dhexeeya terminaalkiisa togan iyo kuwa taban. Farqigan suurtagalka ah wuxuu sababaa in koronto ku socoto wareegga xiran, taasoo siinaysa awood aaladaha elektaroonigga ah ee kala duwan.
Kabasitor
Kaambareetarku waa qalab kaydiya tamarta qaab gaas koronto ah oo u dhexeeya laba saxan oo koronto qaada oo ay kala soocaan dielectric. Awoodda korantada ee u dhaxaysa saxannada ayaa go'aamisa xaddiga dallacaadda ay kaydin karto.
Petir
Hillaacku wuxuu dhacaa marka korontadu ku ururto daruuraha ay abuurto farqi weyn oo suurtagal ah oo u dhexeeya daruuraha iyo dusha sare ee Dhulka. Marka farqigan suurtagalka ah uu ku filan yahay, tamarta korontada waxaa lagu sii daayaa qaab hillaac.
Su'aalo iyo xalal tusaale ah
Su'aal Tusaale 1aad
Dalacsiin dhibic ah \(Q = 2 \, \mu \text{C}\) ayaa la dhigayaa meel gaar ah. Xisaabi awoodda korantada masaafad dhan 0,5 mitir u jirta dalacsiinta.
Xalka:
Isticmaalka qaacidada awoodda korantada ee loogu talagalay dallacaadda dhibcaha:
\[ V = \frac{kQ}{r} \]
Geli qiimayaasha la bixiyay:
\[ V = \frac{8.99 \times 10^9 \, \text{N m}^2/\text{C}^2 \times 2 \times 10^{-6} \, \text{C}}{0,5 \, \text{m}} \]
\[ V = \frac{17.98 \times 10^3 \, \text{N m/C}}{0,5} \]
\[ V = 35.96 \ jeer 10^3 \, \qoraal{V} \]
\[ V = 35.96 \, \qoraal{kV} \]
Markaa, awoodda korantada ee masaafada 0,5 mitir u jirta lacagta waa 35,96 kV.
Su'aal Tusaale 2aad
Laba dhibic oo dallac ah \(Q_1 = 3 \, \mu \text{C}\) iyo \(Q_2 = -2 \, \mu \text{C}\) waxaa la dhigayaa masaafo dhan 1 mitir iyo 0,5 mitir laga bilaabo dhibic P. Xisaabi wadarta awoodda korantada ee barta P.
Xalka:
Isticmaalka qaacidada awoodda korantada ee dhowr kharash:
\[ V_{wadarta} = \frac{kQ_1}{r_1} + \frac{kQ_2}{r_2} \]
Geli qiimayaasha la bixiyay:
\[ V_{wadarta} = \frac{8.99 \jeer 10^9 \, \text{N m}^2/\text{C}^2 \jeer 3 \jeer 10^{-6} \, \text{C}}{1 \, \text{m}} + \frac{8.99 \jeer 10^9 \, \text{N m}^2/\text{C}^2 \jeer (-2) \jeer 10^{-6} \, \text{C}}{0,5 \, \text{m}} \]
\[ V_{wadarta} = 26.97 \jeer 10^3 \, \qoraalka{V} – 35.96 \jeer 10^3 \, \qoraalka{V} \]
\[ V_{wadarta} = -8.99 \jeer 10^3 \, \qoraal{V} \]
Markaa, wadarta awoodda korantada ee barta P waa -8.99 kV.
Gabagabo
Awoodda korontadu waa fikrad muhiim ah oo qeexaysa tamarta suurtagalka ah halkii cutub ee ku dallacaadda meel ka mid ah goobta korontada. Marka la fahmo qaacidooyinka la xiriira awoodda korantada, sida \( V = \frac{W}{q} \) iyo \( V = \frac{kQ}{r} \), iyo codsigooda xaalado kala duwan, waxaan si fiican u fahmi karnaa dhacdooyinka korantada ee nolol maalmeedka. Awoodda korontadu waxay leedahay codsiyo badan oo wax ku ool ah, laga bilaabo naqshadeynta wareegga korantada ilaa dhacdooyinka dabiiciga ah sida hillaaca. Iyada oo loo marayo dhibaatooyinka tusaalaha ah ee ku jira, waxaa la rajeynayaa in fahamka fikraddan uu noqon doono mid qoto dheer oo la dabaqi karo.
