Te ture tuatahi a Kirchhoff – ngā raruraru me ngā otinga

Te ture tuatahi a Kirchhoff – ngā raruraru me ngā otinga

1. E ai ki te pikitia i raro nei, mēnā ko I 1 = 5A, ko I 2 = 3 A, ko I 3 = 6 A, ko I 4 = ………

Te ture tuatahi a Kirchhoff – ngā raruraru me ngā otinga 1Rongoā:

E ai ki te ture tuatahi a Kirchhoff, me ōrite te tapeke o ngā iahiko katoa e tomo ana ki te hononga ki te tapeke o ngā iahiko katoa e puta ana i te hononga.

Kei te tomo a I 1 me I 2 ki te hononga, ko I 3 ia me I 4 kei te wehe atu.

Whakamahia te ture tuatahi a Kirchhoff:

1 + 2 = 3 + 4​

5 + 3 = 6 + 1 4

8 = 6 + 1 4

I 4 = 8 – 6

I 4 = 2 Āmpere

2. Mena ko I 1 = I 3 , ko I 4 =……..

Te ture tuatahi a Kirchhoff – ngā raruraru me ngā otinga 2Mōhiotia:

I 1 = I 3 = 2 Āmpere

I 2 = 3 Āmpere

I 5 = 4 Āmpere

E hiahiatia ana: I 4

Rongoā:

Kei te tomo a I 1 me I 4 ki te hononga, ko I 2 ia , ko I 3 , me I 5 kei te wehe atu.

Whakamahia te ture tuatahi a Kirchhoff:

1 + 4 = 2 + 3 + 5​

2 + I 4 = 3 + 2 + 4

2 + 1 4 = 9

I 4 = 9 – 2

I 4 = 7 Āpere

3. I 1 = …….

Rongoā:Te ture tuatahi a Kirchhoff – ngā raruraru me ngā otinga 3

Kei te tomo ahau ki te hononga, ko I 1 , I 2 , me I 3 ia kei te wehe atu.

Whakamahia te ture tuatahi a Kirchhoff:

I = I 1 + I 2 + I 3

7 A = I 1 + 1 A + 4 A

7 A = I 1 + 5 A

7 A – 5 A = I 1

I 1 = 2 Āmpere

4. I 2 = ………

Hiahia: I2Te ture tuatahi a Kirchhoff – ngā raruraru me ngā otinga 4

Rongoā:

Kei te tomo a I 1 ki te hononga, ko I 2 ia, ko I 3, me I 4 kei te wehe atu.

Whakamahia te ture tuatahi a Kirchhoff:

1 = 2 + 3 + 4​

6 = 1 2 + 3 + 1

6 = I 2 + 4

I 2 = 6 – 4

I 2 = 2 Āmpere

5. Mena ko I 2 = 1/4 I 1 , ko I 3 = ………

Mōhiotia:Te ture tuatahi a Kirchhoff – ngā raruraru me ngā otinga 5

I 1 = 600 miriāmpere

E hiahiatia ana: I 3

Rongoā:

I 2 = 1/4 I 1 = 1/4 (600 mA) = 150 mA

Kei te tomo a I 1 ki te hononga, ko I 2 ia me I 3 kei te wehe atu.

Whakamahia te ture tuatahi a Kirchhoff:

1 = 2 + 3​

600 mA = 150 mA + I3

I 3 = 600 mA – 150 mA

I3 = 450 mA

6. E ai ki te pikitia i raro nei, kimihia te I!

Rongoā:

Whakamahia te ture tuatahi a Kirchhoff:

3 + 5 + 2 = 7 + 1Te ture tuatahi a Kirchhoff – ngā raruraru me ngā otinga 10

10 = 7 + 1

10 – 7 = ahau

I = 3 Āmpere

7. I runga i te pikitia i raro nei, mēnā ko I 1 = 4 A, ko I 2 = 3 A, ko I 4 = 7 A, ko I 5 = 4 A, whakatauhia ko I 3.

Rongoā:

Te iahiko e tomo ana ki te hononga = I 1 + I 3 = 4 A + I 3

Te iahiko e puta atu ana i te hononga = Ahau2 + Ko ahau4 + Ko ahau5 = 3 A + 7 A + 4 A = 14 ATe ture tuatahi a Kirchhoff – ngā raruraru me ngā otinga 11

14 A = 4 A + I 3

I 3 = 14 A – 4 A

I 3 = 10 A

  1. He aha te mātāpono matua kei muri i te Ture Tuatahi a Kirchhoff?
    • WhakautuKo te mātāpono matua o te Ture Tuatahi a Kirchhoff ko te tiaki i te utu hiko. Ko tōna tikanga, kāore he utu e ngaro i tētahi pūnga, i tētahi hononga rānei i roto i tētahi ara iahiko.
  2. Mena e toru ngā iahiko, , , a , ka huihui ki runga i tētahi pūnga, ā, kei te tomo mai i te wā a e wehe atu ana, me pēhea te whakaatu o te KCL mō tēnei pūnga?
    • WhakautuE ai ki a KCL, .
  3. He aha te hiranga o te KCL i roto i te tātaritanga o ngā ara iahiko hiko?
    • WhakautuKa whakaratohia e te KCL tētahi herenga taketake me tutuki e tētahi otinga tika mō tētahi raruraru ara iahiko, kia mōhio ai kei te piri te whanonga o ngā iahiko i roto i te whatunga ki te mātāpono tiaki utu.
  4. He tika te KCL mō ngā ara iahiko DC anake, mō ngā ara iahiko AC anō hoki?
    • WhakautuHe tika te KCL mō ngā ara iahiko DC me AC. He whakaata tēnei i te tiakitanga o te utu, he mea whānui, ahakoa te rerekētanga o ngā iahiko i roto i te wā.
  5. I roto i tētahi ara iahiko he maha ngā pūnga, me whakamahi te KCL ki ia pūnga hei tātari katoa i te ara iahiko?
    • WhakautuKāore i te wā katoa. Ahakoa ka taea te whakamahi i te KCL ki ia pūnga, he maha ngā wā ka rawaka te tātari i tētahi huinga o ngā pūnga hei whakatau i te whanonga o te ara iahiko katoa.
  6. He aha te hononga o te ariā o te "whenua" te pūnga tohutoro rānei i roto i te ara iahiko ki te KCL?
    • WhakautuHe pūnga whenua, he pūnga tohutoro rānei hei pūwāhi tohutoro noa mō ngā ngaohiko i roto i te ara iahiko. Mā te tāpiri i te KCL ki tēnei pūnga, pērā i tētahi atu pūnga, ka whakarite kia kore te tapeke o ngā iahiko. Kāore te whenua e pā ki te whakamahinga, ki te putanga rānei o te KCL.
  7. Mena e rua noa ngā peka e hono ana ki tētahi pūnga, ā, e mōhiotia ana te iahiko i tētahi peka, me whakaoti te iahiko i tētahi atu peka mā te whakamahi i te KCL?
    • WhakautuKāo, ki te mōhiotia te iahiko i tētahi peka, ā, e rua noa iho ngā peka e hono ana ki te pūnga, ko te iahiko i tētahi atu peka he mea kino noa iho o te iahiko e mōhiotia ana (e tohu ana kei te taha kē).
  8. He aha te hononga o te whanonga o ngā pūnga hiko i roto i tētahi ara iahiko ki te KCL?
    • WhakautuAhakoa ka taea e ngā pūnga hiko te penapena i te utu, ko te tere o te utu e tomo ana ki te pūnga hiko he rite ki te tere o te utu e wehe atu ana i tōna pito kē. Nō reira, ahakoa ngā pūnga hiko, ko te iahiko kupenga i tētahi pūnga (tae atu ki tētahi pūnga i tētahi pito o te pūnga hiko) he kore, ā, kei te whai mana tonu a KCL.
  9. I roto i ngā ara iahiko mahi me ngā wāhanga tūturu, ka mau tonu te KCL, kāore rānei he okotahi?
    • WhakautuI roto i te tātaritanga ara iahiko tino pai, ka mau tonu te KCL. I roto i ngā āhuatanga o te ao tūturu, tera pea he iti noa ngā ia turuturu o ngā wāhanga, he pānga pirinoa rānei, engari mō te nuinga o ngā kaupapa mahi me ngā tātaritanga, e whakaarohia ana he pono te KCL.
  10. Āhea te wā e tika ai te whakamahi i te Ture Tuatahi (Āianei) me te Ture Tuarua (Ngaohiko) a Kirchhoff hei tātari i tētahi ara iahiko?
  • WhakautuI roto i ngā ara iahiko matatini maha, inā koa ko ērā he maha ngā koropiko me ngā pūnga, ka whakamahia ngātahitia te KCL (Ture Tuatahi) me te Ture Ngaohiko a Kirchhoff (Ture Tuarua) hei whakatū i tētahi pūnaha whārite ka taea te whakaoti hei whakatau i ngā iahiko me ngā ngaohiko kāore i te mōhiotia puta noa i te ara iahiko.
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