Lamulo la Kirchhoff - mavuto ndi mayankho

1. Ngati R₁ = 2 Ω, R₂ = 4 Ω, R₃ = 6 Ω, dziwani magetsi kuyenda mu dera lomwe lili pansipa.

Zodziwika:

Kukaniza 1 (R)₁) = 2 Ω

Wotsutsa 2 (R)₂) = 4 Ω

Wotsutsa 3 (R)₃) = 6 Ω

Gwero la emf 1 (E)₁) = 9 V

Gwero la emf 2 (E)₂) = 3 V

SE basi: Mphamvu yamagetsi (I)

Yankho:

Funso ili likukhudzana ndi Lamulo la KirchhoffMomwe mungathetsere vutoli:

Choyamba, sankhani komwe magetsi akupita. Mutha kusankha komwe magetsi akupita kapena komwe magetsi akupita motsatira wotchi.

Chachiwiri, pamene mphamvu yamagetsi kudzera mu resistor (R) pali kuchepa komwe kungatheke kotero kuti V = IR yasainidwa kuti ndi yoipa. ChachitatuNgati mphamvu yamagetsi isuntha kuchokera pa voteji yotsika kupita ku voteji yapamwamba (- mpaka +) ndiye kuti gwero la emf (E) lasonyeza kuti ndi labwino chifukwa cha mphamvu yomwe ikuchajidwa pa gwero la emf. Ngati mphamvu yamagetsi isuntha kuchokera pa voteji yapamwamba kupita ku voteji yotsika (+ mpaka -) ndiye kuti gwero la emf (E) lasonyeza kuti ndi loipa chifukwa cha kutaya mphamvu pa gwero la emf.

Mu yankho ili, njira ya magetsi ndi yofanana ndi njira yozungulira mozungulira wotchi.

- IR₁ +E₁ - IR₂ - IR₃ - E₂ = 0

– 2 Ine + 9 – 4 Ine – 6 Ine – 3 = 0

– 12 I + 6 = 0

– 12 I = – 6

Ine = -6 / -12

Ine = 0.5

Mphamvu yamagetsi yomwe ikuyenda mu dera ndi 0.5 A. Mphamvu yamagetsi yomwe yasainidwa kuti ndi yolondola imatanthauza kuti njira yamagetsi yamagetsi ndi yofanana ndi njira yozungulira mozungulira. Ngati mphamvu yamagetsi ili yoipa, ndiye kuti mphamvu yamagetsi ili moyang'anizana ndi njira yozungulira mozungulira.

2. Dziwani mphamvu yamagetsi yomwe ikuyenda mu dera monga momwe zasonyezedwera pachithunzi chili pansipa.

Yankho:

Mu yankho ili, njira ya magetsi ndi yofanana ndi njira yozungulira mozungulira wotchi.

-20 – 5I -5I – 12 – 10I = 0

-32 – 20I = 0

-32 = 20I

Ine = -32 / 20

Ine = -1.6 A

Popeza mphamvu yamagetsi ndi yoipa, njira yamagetsi imakhala yosiyana ndi njira yozungulira wotchi. Njira yamagetsi si yofanana ndi momwe ikuyembekezeredwa.

3. Dziwani mphamvu yamagetsi yomwe ikuyenda mu dera monga momwe zasonyezedwera pachithunzi chili pansipa.

Yankho:

Mu yankho ili, njira ya magetsi ndi yofanana ndi njira yozungulira mozungulira wotchi.

- Ine - 6I + 12 - 2I + 12 = 0

-9I + 24 = 0

-9I = -24

Ine = 24/9

Ine = 8 / 3 A

4. Chitoliro chamagetsi chimakhala ndi zotsutsa zinayi, R₁ = 12 Ohm, R₂ = 12 Ohm, R₃ = 3 Ohm ndi R₄ = 6 Ohm, zimagwirizana ndi gwero la emf E₁ = 6 Volts, E₂ = Ma Volti 12. Dziwani momwe magetsi akuyendera mu dera monga momwe zasonyezedwera pachithunzi pansipa.

Zodziwika:

Wotsutsa 1 (R)₁) = 12 Ω

Wotsutsa 2 (R)₂) = 12 Ω

Wotsutsa 3 (R)₃) = 3 Ω

Wotsutsa 4 (R)₄) = 6 Ω

Gwero la emf 1 (E)₁) = 6 Volt

Gwero la emf 2 (E)₂) = 12 Volt

Akufuna: Mphamvu yamagetsi imayenda mu dera (I)

Yankho:

Chotsutsa 1 (R₁) ndi chotsutsa 2 (R₂) zimalumikizidwa motsatizana. Chotsutsa chofanana:

1 / R₁₂ = 1/R₁ + 1/R₂ = 1/12 + 1/12 = 2/12

R₁₂ = 12/2 = 6 Ω

Mu yankho ili, njira ya magetsi ndi yofanana ndi njira yozungulira mozungulira wotchi.

- IR₁₂ - E₁ - IR₃ - IR₄ +E₂ = 0

- 6 I - 6 - 3I - 6I + 12 = 0

– 6I – 3I – 6I = 6 -12

– 15I = – 6

Ine = -6/-15

Ine = 2/5 A

5. Dziwani mphamvu yamagetsi yomwe imayenda mu circuit monga momwe zasonyezedwera pachithunzi pansipa.

Zodziwika:

Wotsutsa 1 (R)₁) = 10 Ω

Wotsutsa 2 (R)₂) = 6 Ω

Wotsutsa 3 (R)₃) = 5 Ω

Wotsutsa 4 (R)₄) = 20 Ω

Gwero la emf 1 (E)₁) = 8 Volt

Gwero la emf 2 (E)₂) = 12 Volt

Akufuna: Mphamvu yamagetsi yomwe imayenda mu dera

Yankho:

Chotsutsa 3 (R₃) ndi chotsutsa 4 (R₄) zimalumikizidwa motsatizana. Chotsutsa chofanana:

1 / R₃₄ = 1/R₃ + 1/R₄ = 1/5 + 1/20 = 4/20 + 1/20 = 5/20

R₃₄ = 20/5 = 4 Ω

Mu yankho ili, njira ya magetsi ndi yofanana ndi njira yozungulira mozungulira wotchi.

- IR₁ - IR₂ - E₁ - IR₃₄ +E₂ = 0

– 10I – 6I - 8 - 4Ine + 12 = 0

– 10I – 6I - 4I = 8-12

- 20I = – 4

Ine = -4/-20

Ine = 1/5 A

Ine = 0.2 A

6. Dziwani mphamvu yamagetsi yomwe imayenda mu circuit monga momwe zasonyezedwera pachithunzi pansipa.

Zodziwika:

Wotsutsa 1 (R)₁) = 1 Ω

Wotsutsa 2 (R)₂) = 6 Ω

Wotsutsa 3 (R)₃) = 6 Ω

Wotsutsa 4 (R)₄) = 4 Ω

Gwero la emf 1 (E)₁) = 12 Volt

Gwero la emf 2 (E)₂) = 6 Volt

Akufuna: Mphamvu yamagetsi yomwe imayenda mu dera

Yankho:

Chotsutsa 1 (R₁) ndi chotsutsa 2 (R₂) zimalumikizidwa motsatizana. Chotsutsa chofanana:

1 / R₁₂ = 1/R₁ + 1/R₂ = 1/1 + 1/6 = 6/6 + 1/6 = 7/6

R₁₂ = 6/7 Ω

Malangizo a mphamvu yamagetsi ndi ofanana ndi malangizo a kuzungulira kwa wotchi.

E₁ - ine R₁₂ - E₂ - ine R₄ - IR₃ = 0

12 – (6/7) I – 6 – 4I – 6I = 0

12 – 6 – (6/7) I – 4I – 6I = 0

6 – (6/7)I – 10I = 0

6 = (6/7)I + 10I

6 = (6/7)I + (70/7)I

6 = (76/7)I

(6)(7) = 76I

42 = 76I

Ine = 42/76

Ine = 0.5 A