Labarin game da Resistors a layi daya
Idan an haɗa masu adawa kamar yadda yake a cikin hoton, masu adawa suna haɗuwa a layi ɗaya.
Wutar lantarki (ƙwayar lantarki = cajin lantarki da ke gudana a cikin tazara ta lokaci) wanda ke shiga wurin haɗuwa iri ɗaya ne da wutar lantarki da ke fita daga wurin haɗuwa. Akwai mahaɗa da yawa don haka jimlar wutar lantarki = adadin wutar lantarki da ke gudana a kowace mahaɗa. A lissafi, I = I 1 + I 2 + I 3. Yayin da bambancin yuwuwar wutar lantarki ko ƙarfin lantarki a kowace mahaɗa iri ɗaya ne.
I = V/R don haka lissafin da ke sama ya canza zuwa I = V/R 1 + V/R 2 + V/R 3. Wutar lantarki daidai take, don haka wannan lissafin ya canza zuwa I = V (1/R 1 + 1/R 2 + 1/R 3 ). Idan juriyar daidai take 1/R to I = V (1/R). Don haka, 1/R = 1/R 1 + 1/R 2 + 1/R 3.
Da'irori masu layi daya suna da fa'ida, idan wutar lantarki zuwa ɗaya daga cikin masu adawa ta lalace, wutar lantarki ta ci gaba da gudana zuwa ga sauran masu adawa. Yayin da a jere, idan wutar lantarki a cikin resistor ɗaya ta lalace, to duk masu adawa ba za su sami wutar lantarki ba.
Misalin matsala ta 1:
An san cewa R 1 = 2 Ω, R 2 = 3 Ω. Dukansu masu juriya suna layi ɗaya. Menene ƙimar mai tsayayyar daidai? (Ω = Ohm).
Magani:
1/R = 1/R 1 + 1/R 2 = 1/2 + 1/3 = 3/6 + 2/6 = 5/6
R = 6/5 = 1.2 Ω.
Wannan sakamakon yana nuna cewa ƙimar juriya mai daidai ta fi ƙanƙanta fiye da ƙimar kowace juriya mai layi ɗaya.
Misalin matsala ta 2:
An haɗa resistor guda biyu na R 1 = 50 Ω da 50 a jere da layi ɗaya, an haɗa su da batirin Volt 12. Ƙayyade:
(a) Daidaiton juriya
(b) Wutar lantarki ta kowace resistor
Magani:
(a) Resistor a jere:
R = R 1 + R 2 = 50 Ω + 50 Ω = 100 Ω.
Masu juriya a layi daya:
1/R = 1/R 1 + 1/R 2 = 1/50 + 1/50 Ω = 2/50
R = 50/2 = 25 Ω
(b) Masu juriya a jere:
I = V / R = Volts 12 / 100 Ω = 0.12 A
Masu juriya a layi daya:
I = V / R = Volts 12 / 25 Ω = 0.48 A
Wannan sakamakon ya nuna cewa jimillar wutar lantarki da ke gudana a cikin da'irar layi daya ta fi girma, yayin da jimillar wutar lantarki da ke gudana a cikin jerin ya fi karami.
