Molao oa Kirchhoff - mathata le litharollo

1. Haeba R 1 = 2 Ω, R 2 = 4 Ω, R 3 = 6 Ω, fumana phallo ea motlakase potolohong e ka tlase.

Tse tsejoang:

Mohanyetsi 1 (R)1) = 2 Ω Molao oa Kirchhoff - mathata le litharollo 1

Mohanyetsi 2 (R2 ) = 4 Ω

Mohanyetsi 3 (R 3 ) = 6 Ω

Mohlodi wa emf 1 (E 1 ) = 9 V

Mohlodi wa emf 2 (E 2 ) = 3 V

Ho batloa: Motlakase (I)

Tharollo:

Potso ena e amana le molao oa Kirchhoff . Mokhoa oa ho rarolla bothata bona:

Sa pele , kgetha tsela eo motlakase o tsamayang ka yona. O ka kgetha tsela e fapaneng kapa tsela e tsamayang ka lehlakoreng le leng la oache.

Ea bobeli , ha motlakase o fetang ka resistor (R) o fokotseha hoo V = IR e saenneng ka nepo. Ea boraro , haeba motlakase o tloha ho motlakase o tlase ho ea ho o phahameng (- ho ea ho +) joale mohloli oa emf (E) o saenneng ka nepo ka lebaka la ho tjhaja matla mohloling oa emf. Haeba motlakase o tloha ho motlakase o phahameng ho ea ho o tlase (+ ho ea ho -) joale mohloli oa emf (E) o saenneng ka nepo ka lebaka la ho felloa ke matla mohloling oa emf.

Tharollong ena, tataiso ea hona joale e tšoana le tataiso ea potoloho ea oache.

– IR 1 + E 1 – IR 2 – IR 3 – E 2 = 0

– 2 Ke + 9 – 4 Ke – 6 Ke – 3 = 0

– 12 I + 6 = 0

– 12 I = – 6

Ke = -6 / -12

Ke = 0.5

Phallo ea motlakase potolohong ke 0.5 A. Motlakase o saennoeng hantle o bolela hore tataiso ea motlakase e tšoana le tataiso ea potoloho ea oache. Haeba motlakase o le mpe, joale motlakase o fapane le tataiso ea oache.

2. Fumana motlakase o phallang potolohong jwalo ka ha ho bontshitswe setshwantshong se ka tlase.

Tharollo:Molao oa Kirchhoff - mathata le litharollo 2

Tharollong ena, tataiso ea hona joale e tšoana le tataiso ea potoloho ea oache.

-20 – 5I -5I – 12 – 10I = 0

-32 – 20I = 0

-32 = 20I

Ke = -32 / 20

Ke = -1.6 A

Kaha motlakase o le tlase, tataiso ea motlakase e fapane le tataiso ea oache. Tsela eo motlakase o lebang ka eona ha e tšoane le e hakantsoeng.

3. Fumana motlakase o phallang potolohong jwalo ka ha ho bontshitswe setshwantshong se ka tlase.

Tharollo:Molao oa Kirchhoff - mathata le litharollo 3

Tharollong ena, tataiso ea hona joale e tšoana le tataiso ea potoloho ea oache.

– Ke – 6I + 12 – 2I + 12 = 0

-9I + 24 = 0

-9I = -24

Ke = 24 / 9

Ke = 8 / 3 A

4. Potoloho ea motlakase e na le li-resistor tse 'ne, R 1 = 12 Ohm, R 2 = 12 Ohm, R 3 = 3 Ohm le R 4 = 6 Ohm, li hokahane le mohloli oa emf E 1 = 6 Volt, E 2 = 12 Volt. Fumana phallo ea motlakase potolohong joalo ka ha ho bontšitsoe setšoantšong se ka tlase.

Tse tsejoang:Molao oa Kirchhoff - mathata le litharollo 4

Mohanyetsi 1 (R 1 ) = 12 Ω

Mohanyetsi 2 (R 2 ) = 12 Ω

Mohanyetsi 3 (R 3 ) = 3 Ω

Mohanyetsi 4 (R 4 ) = 6 Ω

Mohloli oa emf 1 (E 1 ) = 6 Volts

Mohloli oa emf 2 (E 2 ) = 12 Volts

Ho batloa: Motlakase o phalla potolohong (I)

Tharollo:

Resistor 1 ( R1 ) le resistor 2 ( R2 ) li hokahane ka ho lekana. Resistor e lekanang:

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

R 12 = 12/2 = 6 Ω

Tharollong ena, tataiso ea hona joale e tšoana le tataiso ea potoloho ea oache.

– 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

Ke = -6/-15

Ke = 2/5 A

5. Fumana motlakase o phallang ka potoloho joalo ka ha ho bontšitsoe setšoantšong se ka tlase.

Tse tsejoang:Molao oa Kirchhoff - mathata le litharollo 5

Mohanyetsi 1 (R 1 ) = 10 Ω

Mohanyetsi 2 (R 2 ) = 6 Ω

Mohanyetsi 3 (R 3 ) = 5 Ω

Mohanyetsi 4 (R 4 ) = 20 Ω

Mohloli oa emf 1 (E 1 ) = 8 Volts

Mohloli oa emf 2 (E 2 ) = 12 Volts

Ho batloa: Motlakase o phallang potolohong

Tharollo:

Resistor 3 ( R3 ) le resistor 4 ( R4 ) li hokahane ka ho lekana. Resistor e lekanang:

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

Tharollong ena, tataiso ea hona joale e tšoana le tataiso ea potoloho ea oache.

– 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

Ke = -4/-20

Ke = 1/5 A

Ke = 0.2 A

6. Fumana motlakase o phallang ka potoloho joalo ka ha ho bontšitsoe setšoantšong se ka tlase.

Tse tsejoang:Molao oa Kirchhoff - mathata le litharollo 6

Mohanyetsi 1 (R 1 ) = 1 Ω

Mohanyetsi 2 (R 2 ) = 6 Ω

Mohanyetsi 3 (R 3 ) = 6 Ω

Mohanyetsi 4 (R 4 ) = 4 Ω

Mohloli oa emf 1 (E 1 ) = 12 Volts

Mohloli oa emf 2 (E 2 ) = 6 Volts

Ho batloa: Motlakase o phallang potolohong

Tharollo:

Resistor 1 ( R1 ) le resistor 2 ( R2 ) li hokahane ka ho lekana. Resistor e lekanang:

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

R 12 = 6/7 Ω

Tsela eo motlakase o potolohang ka yona e tshwana le tsela eo motlakase o potolohang ka yona ka watjhe.

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

Ke = 42/76

Ke = 0.5 A

Leave a Comment