Qaacidada Awoodda Korontada ee Kharashyada Afarta Dhibcood
Pengantar
Awoodda korontadu waa fikrad muhiim ah oo ku jirta fiisikiska korontada kaas oo naga caawiya inaan fahanno sida dallacaadaha korontadu u falgalaan hawada sare. Marka aan ka hadlayno dallacaadda dhibcaha, waxaan tixraacaynaa dallacaadda loo arko inay ku urursan tahay hal dhibic oo hawada sare ah. Maqaalkan, waxaan ka hadli doonnaa qaacidooyinka awoodda korontadu u leedahay afar dallacaadood oo kala duwan, sida loo xisaabiyo, iyo codsiyada wax ku oolka ah ee fikraddan.
Fikradda Aasaasiga ah ee Awoodda Korontada
Awoodda korantada ee meel bannaan waa tamarta awoodda korantada halkii cutub ee lagu dallaco kharashka tijaabada ee togan ee la dhigo meeshaas. Awoodda korantada waxaa badanaa lagu cabbiraa volts (V). Xisaab ahaan, awoodda korantada ee \( V \) oo ay ugu wacan tahay dallac \( q \) oo masaafo \( r \) u jirta waxaa lagu bixiyaa qaacidada:
\[ V = \frac{kq}{r} \]
Halkee:
– \(V \) waa awoodda korantada (volts),
– \( k \) waa joogtada Coulomb (\( 8.99 \times 10^9 \, \text{N m}^2 \text{C}^{-2} \)),
– \( q \) waa kharashka (coulomb),
– \( r \) waa masaafada u dhaxaysa kharashka ilaa meesha awoodda lagu xisaabiyo (mitir).
Awoodda Korontada ee Kharashyada Afarta Dhibcood ah
Haddii aan haysanno afar dhibcood oo dallacaad ah \( q_1 \), \( q_2 \), \( q_3 \), iyo \( q_4 \) oo ku yaal jagooyinka \( (x_1, y_1) \), \( (x_2, y_2) \), \( (x_3, y_3) \), iyo \( (x_4, y_4) \) ee isku-duwayaasha Cartesian, waxaan xisaabin karnaa wadarta awoodda korantada ee dhibic \( P(x, y) \) annagoo soo koobayna awoodaha korantada ee ka dhasha dallacaad kasta oo meeshaas ah.
Wadarta awoodda korantada \(V \) ee barta \(P \) waxaa bixiya:
\[ V = V_1 + V_2 + V_3 + V_4 \]
Halkee:
– \(V_1 \) waa awoodda korantada ee ay sabab u tahay \( q_1 \),
– \(V_2 \) waa awoodda korantada ee ay sabab u tahay \( q_2 \),
– \(V_3 \) waa awoodda korantada ee ay sabab u tahay \( q_3 \),
– \(V_4 \) waa awoodda korantada ee ay sabab u tahay \( q_4 \).
Awoodda korantada ee ka dhalata dallac kasta oo barta \( P \) waxaa loo qori karaa sidan:
\[ V_1 = \frac{k q_1}{r_1}, \quad V_2 = \frac{k q_2}{r_2}, \quad V_3 = \frac{k q_3}{r_3}, \quad V_4 = \frac{k q_4}{r_4} \]
Halkee:
– \( r_1 \) waa masaafada u dhaxaysa dallacaadda \( q_1 \) iyo barta \( P \),
– \( r_2 \) waa masaafada u dhaxaysa dallacaadda \( q_2 \) iyo barta \( P \),
– \( r_3 \) waa masaafada u dhaxaysa dallacaadda \( q_3 \) iyo barta \( P \),
– \( r_4 \) waa masaafada u dhaxaysa dallacaadda \( q_4 \) iyo barta \( P \).
Masaafada u dhaxaysa laba dhibcood ee isku-duwayaasha Cartesian waxaa lagu xisaabin karaa qaacidada:
\[ r = \sqrt{(x – x_i)^2 + (y – y_i)^2} \]
Halkee:
– \( (x, y) \) waa isku-duwayaasha barta \( P \),
– \( (x_i, y_i) \) waa isku-duwayaasha dallacaadda \( q_i \) (i = 1, 2, 3, 4).
Sidaas darteed, waxaan xisaabin karnaa masaafada \( r \) ee kharash kasta ka dibna waxaan isticmaali karnaa qaacidada awoodda korantada si aan u helno awoodda barta \( P \).
Tusaale Xisaabin
Aan soo qaadanno tusaale la taaban karo oo leh afar dhibcood oo lagu soo dallaco sida soo socota:
– \( q_1 = 2 \, \mu \text{C} \) at (0, 0),
– \( q_2 = -3 \, \mu \text{C} \) at (1, 0),
– \( q_3 = 4 \, \mu \text{C} \) at (0, 1),
– \( q_4 = -1 \, \mu \text{C} \) ee (1, 1).
Waxaan rabnaa inaan xisaabinno awoodda korantada barta \( P \) ee ku taal (2, 2).
Marka hore, waxaan xisaabineynaa masaafada u dhaxaysa barta \( P \) iyo kharash kasta:
\[ r_1 = \sqrt{(2-0)^2 + (2-0)^2} = \sqrt{8} = 2\sqrt{2} \]
\[ r_2 = \sqrt{(2-1)^2 + (2-0)^2} = \sqrt{5} \]
\[ r_3 = \sqrt{(2-0)^2 + (2-1)^2} = \sqrt{5} \]
\[ r_4 = \sqrt{(2-1)^2 + (2-1)^2} = \sqrt{2} \]
Kadib, waxaan u isticmaalnaa qiimahan masaafada si aan u xisaabino awoodda korantada ee ka dhalata dallac kasta oo barta \( P \):
\[ V_1 = \frac{8.99 \jeer 10^9 \jeer 2 \jeer 10^{-6}}{2\sqrt{2}} \qiyaastii 3.18 \jeer 10^3 \, \qoraal{V} \]
\[ V_2 = \frac{8.99 \jeer 10^9 \jeer (-3) \jeer 10^{-6}}{\sqrt{5}} \qiyaastii -3.81 \jeer 10^3 \, \qoraal{V} \]
\[ V_3 = \frac{8.99 \jeer 10^9 \jeer 4 \jeer 10^{-6}}{\sqrt{5}} \qiyaastii 7.62 \jeer 10^3 \, \qoraal{V} \]
\[ V_4 = \frac{8.99 \jeer 10^9 \jeer (-1) \jeer 10^{-6}}{\sqrt{2}} \qiyaastii -6.36 \jeer 10^3 \, \qoraal{V} \]
Wadarta awoodda korantada ee barta \( P \) waa wadarta dhammaan kartidaas:
\[ V = 3.18 \ jeer 10^3 - 3.81 \ jeer 10^3 + 7.62 \ jeer 10^3 - 6.36 \ jeer 10^3 \ qiyaastii 0.63 \ jeer 10^3 \, \qoraal{V} \]
Adeegsiga Awoodda Korontada
Fahmidda awoodda korantada ee dallacaadda dhibic kasta waa muhiim codsiyada kala duwan, oo ay ku jiraan:
– Naqshadeynta wareegga elektaroonigga ah: Injineeradu waa inay fahmaan qaybinta suurtagalka ah ee wareegga si loo hubiyo in qaybaha si habboon u shaqeeyaan.
– Goobaha korontada ee bayoolajiga: Awoodda korontadu waxay door ka ciyaartaa shaqada unugyada neerfaha iyo gudbinta calaamadaha ee jirka.
– Habaynta agabka: Awoodda korontada waxaa loo isticmaalaa farsamooyinka elektaroonigga ah sida kaydinta elektrostatic-ka iyo sifaynta agabka.
Gabagabo
Xisaabinta awoodda korantada ee dhowr dallacaad oo dhibco ah waxay u baahan tahay faham aasaasi ah oo ku saabsan sida awoodda korontadu u shaqeyso iyo sida masaafada u dhaxaysa dallacaaddu u saamayso. Fikraddan, waxaan si wax ku ool ah u sharxi karnaa oo u naqshadeyn karnaa nidaamyada ku lug leh isdhexgalka korantada. Awoodda korontadu waa qalab muhiim ah oo naga caawiya inaan fahanno adduunka fiisigiska heerarka microscopic iyo macroscopic labadaba.
