Umthetho wokuqala kaKirchhoff – izinkinga nezixazululo

1. Ngokusekelwe esifanekisweni njengoba kuboniswe ngezansi, uma mina ₁ = 5A, mina ₂ = 3 A, mina ₃ = 6 A, khona-ke mina ₄ = ………

Umthetho wokuqala kaKirchhoff – izinkinga nezixazululo 1 Isixazululo:

Umthetho wokuqala kaKirchhoff uthi isamba sayo yonke imisinga engena esivumelwaneni kumele ilingane nesamba sayo yonke imisinga ephuma esivumelwaneni.

I ₁ kanye ne ₂ zingena endaweni yokuhlangana, kanti mina ₃ kanye ne ₄ ziyaphuma.

Sebenzisa umthetho wokuqala kaKirchhoff:

Mina ₁ + Mina ₂ = Mina ₃ + Mina ₄

5 + 3 = 6 + 1 ₄

8 = 6 + I ₄

I ₄ = 8 – 6

I ₄ = 2 Ampere

2. Uma mina ₁ = Mina ₃ khona-ke mina ₄ =……..

Umthetho wokuqala kaKirchhoff – izinkinga nezixazululo 2 Kwaziwa:

I ₁ = I ₃ = 2 Ama-ampere

I ₂ = 3 Ampere

I ₅ = 4 Ama-Ampere

Okufunwayo: I ₄

Isixazululo:

I ₁ kanye ne ₄ zingena endaweni yokuhlangana, kanti mina ₂ , I ₃ , kanye ne ₅ ziyahamba.

Sebenzisa umthetho wokuqala kaKirchhoff:

Mina ₁ + Mina ₄ = Mina ₂ + Mina ₃ + Mina ₅

2 + I ₄ = 3 + 2 + 4

2 + 1 ₄ = 9

I ₄ = 9 – 2

I ₄ = 7 Ampere

3. I ₁ = …….

Isixazululo: Umthetho wokuqala kaKirchhoff – izinkinga nezixazululo 3

Ngingena endaweni yokuhlangana, kuyilapho mina ₁ , mina ₂ , kanye nami ₃ siyahamba.

Sebenzisa umthetho wokuqala kaKirchhoff:

Mina = Mina ₁ + Mina ₂ + Mina ₃

7 A = I ₁ + 1 A + 4 A

7 A = I ₁ + 5 A

7 A – 5 A = I ₁

I ₁ = 2 Ama-Ampere

4. I ₂ = ……

Okufunayo: I₂

Isixazululo:

I ₁ ingena endaweni yokuhlangana, kanti mina _2, I _3, kanye ne ₄ siyahamba.

Sebenzisa umthetho wokuqala kaKirchhoff:

I ₁ = I ₂ + I ₃ + I ₄

6 = I ₂ + 3 + 1

6 = I ₂ + 4

I ₂ = 6 – 4

I ₂ = 2 Ampere

5. Uma mina ₂ = 1/4 I ₁ , khona-ke mina ₃ = ……

Kwaziwa: Umthetho wokuqala kaKirchhoff – izinkinga nezixazululo 5

I ₁ = 600 milliAmperes

Okufunwayo: I ₃

Isixazululo:

I ₂ = 1/4 I ₁ = 1/4 (600 mA) = 150 mA

I- ₁ ingena endaweni yokuhlangana, kanti mina ₂ kanye ne-I ₃ ziyaphuma.

Sebenzisa umthetho wokuqala kaKirchhoff:

I ₁ = I ₂ + I ₃

600 mA = 150 mA + I ₃

I ₃ = 600 mA – 150 mA

I3 = 450 _mA

6. Ngokusekelwe esithombeni esingezansi, thola mina!

Isixazululo:

Sebenzisa umthetho wokuqala kaKirchhoff:

3 + 5 + 2 = 7 + I Umthetho wokuqala kaKirchhoff – izinkinga nezixazululo 10

10 = 7 + I

10 – 7 = I

I = 3 Ampere

7. Ngokusekelwe esithombeni esingezansi, uma mina ₁ = 4 A, mina ₂ = 3 A, mina ₄ = 7 A, mina ₅ = 4 A, nquma mina ₃.

Isixazululo:

Amandla kagesi angena endaweni yokuhlangana = I ₁ + I ₃ = 4 A + I ₃

Ugesi ophuma endaweni yokuhlangana = Mina₂+ Mina₄+ Mina₅ = 3 A + 7 A + 4 A = 14 A

14 A = 4 A + I ₃

I ₃ = 14 A – 4 A

I ₃ = 10 A

Iyini isimiso esiyinhloko ngemuva koMthetho Wokuqala kaKirchhoff?
- Impendulo: Isimiso esiyinhloko ngemuva koMthetho Wokuqala kaKirchhoff ukulondolozwa kweshaja kagesi. Kusho ukuthi akukho shaja elahlekayo kunoma iyiphi i-node noma i-junction kusekethe.
Uma kunezinkamba ezintathu, $I_{1}$ , $I_{2}$ , Futhi $I_{3}$ , hlangana endaweni ethile bese $I_{1}$ ungena ngenkathi $I_{2}$ futhi $I_{3}$ bayahamba, i-KCL ivezwa kanjani kule node?
- ImpenduloNgokusho kwe-KCL, $I_{1} = I_{2} + I_{3}$ .
Kungani i-KCL ibalulekile ekuhlaziyweni kwamasekethe kagesi?
- Impendulo: I-KCL inikeza umkhawulo oyisisekelo okumele uhlangatshezwe yinoma yisiphi isisombululo esisebenzayo senkinga yesekethe, okuqinisekisa ukuthi ukuziphatha kwemisinga kunethiwekhi kunamathela esimisweni sokugcina ukushaja.
Ingabe i-KCL isebenza kumasekethe e-DC kuphela noma kumasekethe e-AC?
- Impendulo: I-KCL isebenza kuzo zombili izifunda ze-DC kanye ne-AC. Kuwukubonakaliswa kokulondolozwa kweshaja, okuwuphawu olujwayelekile, kungakhathaliseki ukuthi imisinga ishintsha kanjani ngokuhamba kwesikhathi.
Kusekethe enama-node amaningana, ingabe kuyadingeka ukufaka i-KCL ku-node ngayinye ukuze kuhlaziywe isekethe ngokugcwele?
- Impendulo: Akunjalo ngaso sonke isikhathi. Nakuba ungasebenzisa i-KCL kuwo wonke ama-node, ukuhlaziya i-subset yama-node kwanele ukunquma ukuziphatha kwesekethe yonke.
Umqondo "womhlaba" noma i-reference node ku-circuit uhlobana kanjani ne-KCL?
- Impendulo: I-ground noma i-reference node isebenza njengendawo evamile yokubhekisela kuma-voltage kusekethe. Ukusebenzisa i-KCL kule node, njenganoma iyiphi enye i-node, kuqinisekisa ukuthi isamba semifudlana siyi-zero. I-ground ayithinti ukusebenza noma umphumela we-KCL.
Uma i-node inamagatsha amabili kuphela axhunywe kuyo, futhi ugesi kwelinye igatsha uyaziwa, ingabe kuyadingeka ukuxazulula ugesi kwelinye igatsha usebenzisa i-KCL?
- Impendulo: Cha, uma ugesi kwelinye igatsha waziwa futhi kunamagatsha amabili kuphela axhunywe ku-node, ugesi kwelinye igatsha umane uyisivikelo sogesi owaziwayo (okubonisa ukuthi usehlangothini oluphambene).
Ukuziphatha kwama-capacitor kusekethe kuhlobene kanjani ne-KCL?
- Impendulo: Nakuba ama-capacitor engagcina ishaja, izinga lokushaja elingena kwi-capacitor lilingana nezinga lokushaja eliphuma kwenye indawo yalo. Ngakho-ke, ngisho nangama-capacitor, ugesi ophelele ku-node (kufaka phakathi i-node ku-terminal eyodwa ye-capacitor) ungu-zero, futhi i-KCL ihlala isebenza.
Kumasekethe asebenzayo anezingxenye zangempela, ingabe i-KCL ibamba kahle, noma kukhona okuhlukile?
- Impendulo: Ekuhlaziyweni kwesekethe okuhle, i-KCL ibamba kahle. Ezimweni zangempela, izingxenye zingase zibe nemisinga emincane yokuvuza noma imiphumela yezinambuzane, kodwa ngezinjongo eziningi ezisebenzayo kanye nokuhlaziya, i-KCL ithathwa njengeyiqiniso.
Kunini lapho umuntu angasebenzisa khona uMthetho Wokuqala (Wamanje) kaKirchhoff kanye noMthetho Wesibili (weVoltage) ekuhlaziyeni isekethe?

Impendulo: Kumasekethe amaningi ayinkimbinkimbi, ikakhulukazi lawo anama-loop amaningi nama-node, kokubili i-KCL (First Rule) kanye ne-Kirchhoff's Voltage Law (Second Rule) kusetshenziswa ndawonye ukusetha uhlelo lwezibalo olungaxazululwa ukuze kutholakale imisinga nama-voltage angaziwa kulo lonke isekethe.