Umthetho Wokuqala KaKirchhoff

Umthetho wokuqala kaKirchhoff, owaziwa nangokuthi umthetho we-branch point, uthi ugesi ongena endaweni yegatsha ufana nogesi ophuma kuleyo ndawo yegatsha. Indawo yegatsha esesekethe kagesi yindawo lapho kuhlangana khona omqhubi ababili noma ngaphezulu. njengephuzu u-a esithombeni ohlangothini.

Ngingugesi ongena endaweni yegatsha, kuyilapho mina₁ nami₂ ingabe ugesi uphuma endaweni yegatsha, mina = mina₁ + Mina₂Esinye isibonelo, bheka isithombe esingezansi.

Ngingugesi ongenayo, kuyilapho mina₁, Mina₂ nami₃ ugesi ophumayo, mina = mina₁ + Mina₂ + Mina₃.

Umthetho wokuqala kaKirchhoff usekelwe emthethweni wokulondolozwa kweshaja kagesi othi ishaja ingunaphakade, ngakho-ke ishaja kagesi engenayo kumele ifane neshaja kagesi ephumayo, akukho shaja kagesi elahlekayo. Ugesi wamanje uwukugeleza kweshaja kagesi esikhathini esithile. Ngenxa yokuthi ishaja kagesi igcinwa, ugesi ongena endaweni yegatsha ulingana nogesi ophuma kuleyo ndawo yegatsha.

Umthetho wokuqala kaKirchhoff wabekwa phambili nguGustav Kirchhoff (1824-1887), isazi sefiziksi saseJalimane.

Isibonelo sombuzo 1:

I₁ = Ama-Ampere ama-2, i-I₂ = Ama-Ampere ama-3, i-I₃ = Ama-Ampere ama-5, i-I₄ = 3 Ama-Ampere. Thola i-I₅!

Ingxoxo

Ngingena = ngiphumile

I₁ + Mina₃ = Mina₂ + Mina₄ + Mina₅

2 A + 5 A = 3 A + 3 A + I₅

7 A = 6 A + I₅

I₅ = 7 A – 6 A

I₅ = Ama-Ampere ama-1

Isibonelo sombuzo 2:

I = 10 Amperes, I₁ = Ama-Ampere ama-2, i-I₂ = 4 Ama-Ampere. Thola i-I₃!

Ingxoxo

Ngingena = ngiphumile

Mina = Mina₁ + Mina₂ + Mina₃

10 A = 2 A + 4 A + I₃

10 A = 6 A + I₃

I₃ = 10 A – 6 A

I₃ = Ama-Ampere ama-4