Lamulo la Kirchhoff - mavuto ndi mayankho

1. Ngati R 1 = 2 Ω, R 2 = 4 Ω, R 3 = 6 Ω, dziwani momwe magetsi amayendera mu dera lomwe lili pansipa.

Zodziwika:

Kukaniza 1 (R)1) = 2 Ω Lamulo la Kirchhoff - mavuto ndi mayankho 1

Wotsutsa 2 (R2 ) = 4 Ω

Wotsutsa 3 (R3 ) = 6 Ω

Gwero la emf 1 (E 1 ) = 9 V

Gwero la emf 2 (E 2 ) = 3 V

Kufunidwa: Mphamvu yamagetsi (I)

Yankho:

Funso ili likukhudzana ndi lamulo la Kirchhoff . Momwe 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) ichepa kwambiri kotero kuti V = IR yalembedwa kuti ndi yoipa. Chachitatu , ngati mphamvu yamagetsi isuntha kuchokera pa voteji yotsika kupita ku yokwera (- mpaka +) ndiye kuti gwero la emf (E) lalembedwa kuti ndi yoipa chifukwa cha kuyatsidwa kwa mphamvu pa gwero la emf. Ngati mphamvu yamagetsi isuntha kuchokera pa voteji yotsika kupita ku yokwera (+ mpaka -) ndiye kuti gwero la emf (E) lalembedwa kuti ndi yoipa chifukwa cha kuchotsedwa kwa mphamvu pa gwero la emf.

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

– IR 1 + E 1 – IR 2 – IR 3 – E 2 = 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:Lamulo la Kirchhoff - mavuto ndi mayankho 2

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:Lamulo la Kirchhoff - mavuto ndi mayankho 3

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. Dera lamagetsi limakhala ndi ma resistors anayi, R 1 = 12 Ohm, R 2 = 12 Ohm, R 3 = 3 Ohm ndi R 4 = 6 Ohm, olumikizidwa ndi gwero la emf E 1 = 6 Volt, E 2 = 12 Volt. Dziwani momwe magetsi amayendera mu dera monga momwe zasonyezedwera pachithunzi pansipa.

Zodziwika:Lamulo la Kirchhoff - mavuto ndi mayankho 4

Wotsutsa 1 (R1 ) = 12 Ω

Wotsutsa 2 (R2 ) = 12 Ω

Wotsutsa 3 (R3 ) = 3 Ω

Wotsutsa 4 (R4 ) = 6 Ω

Gwero la emf 1 (E 1 ) = 6 Volts

Gwero la emf 2 (E 2 ) = 12 Volts

Kufunidwa: Mphamvu yamagetsi imayenda mu dera (I)

Yankho:

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

1/R 12 = 1/R 1 + 1/R 2 = 1/12 + 1/12 = 2/12

R 12 = 12/2 = 6 Ω

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

– IR 12 – E 1 – IR 3 – IR 4 + E 2 = 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:Lamulo la Kirchhoff - mavuto ndi mayankho 5

Wotsutsa 1 (R1 ) = 10 Ω

Wotsutsa 2 (R2 ) = 6 Ω

Wotsutsa 3 (R3 ) = 5 Ω

Wotsutsa 4 (R4 ) = 20 Ω

Gwero la emf 1 (E 1 ) = 8 Volts

Gwero la emf 2 (E 2 ) = 12 Volts

Kufunidwa: Mphamvu yamagetsi yomwe imayenda mu dera

Yankho:

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

1/R 34 = 1/R 3 + 1/R 4 = 1/5 + 1/20 = 4/20 + 1/20 = 5/20

R 34 = 20/5 = 4 Ω

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

– IR 1 – IR 2 – E 1 – IR 34 + E 2 = 0

10I – 6I – 8 – 4I + 12 = 0

10I – 6I – 4I = 8 – 12

– 20 I = – 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:Lamulo la Kirchhoff - mavuto ndi mayankho 6

Wotsutsa 1 (R1 ) = 1 Ω

Wotsutsa 2 (R2 ) = 6 Ω

Wotsutsa 3 (R3 ) = 6 Ω

Wotsutsa 4 (R4 ) = 4 Ω

Gwero la emf 1 (E 1 ) = 12 Volts

Gwero la emf 2 (E 2 ) = 6 Volts

Kufunidwa: Mphamvu yamagetsi yomwe imayenda mu dera

Yankho:

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

1/R 12 = 1/R 1 + 1/R 2 = 1/1 + 1/6 = 6/6 + 1/6 = 7/6

R 12 = 6/7 Ω

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

E 1 – I R 12 – E 2 – I R 4 – IR 3 = 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

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