Nā EMF ma ke ʻano moʻo a me ke ʻano like
Inā ʻelua a ʻoi aku paha nā kumu o ka electromotive (emf) i hoʻopili ʻia e like me ka mea i hōʻike ʻia ma ke kiʻi, ua hoʻonohonoho ʻia ka emf ma ke ʻano he moʻo.
ʻO ke kumu uila like (ε):
ε = ε 1 + ε 2 + ε n
ʻO ke kū'ē kūloko like (r) penei:
r = r 1 + r 2 + r n
ʻO ke au uila e kahe ana ma o ke kū'ē kūwaho (R):
ʻO I = ε / (r + R)
Pilikia laʻana:
Manaʻo ʻia he 1.5 Volt nā pākahiko ʻelua o kēlā me kēia emf a ʻo ka waiwai kū'ē kūloko i loko o kēlā me kēia pākahiko he 0.1 Ω. ʻO ke kū'ē kūwaho (R) = 10 Ω. ʻO ke kuhikuhi o ke au uila ma ka ʻaoʻao ʻākau.
E hoʻohana i ke ʻano ma mua:
ε = 1.5 + 1.5 = 3 Volt
r = 0.1 + 0.1 = 0.2 Ω
ʻO I = ε / (r + R) = 3 / (0.2 + 10)
I = 3 / 10.2
I = 0.294 A
E hoʻohana i ka lua o ka lula a Kirchhoff:
1.5 – 0.1 I + 1.5 – 0.1 I – 10 I = 0
3 – 0.2 ʻI – 10 ʻI = 0
3 – 10.2 I = 0
3 = 10.2 ʻI
I = 3 / 10.2
I = 0.294 A
Inā ʻelua a ʻoi aku paha nā kumu o ka electromotive (emf) i hoʻopili ʻia e like me ka mea i hōʻike ʻia ma ke kiʻi, ua hoʻopili ʻia ka emf ma ke ʻano like.
ʻO ke kumu uila like (ε):
ε = ε1 = ε2 = εn
ʻO ke kū'ē kūloko like (r) penei:
1/r = 1/r 1 + 1/r 2 + 1/r n
ʻO ke au uila e kahe ana ma o ke kū'ē kūwaho (R):
ʻO I = ε / (r + R)
Pilikia laʻana:
Manaʻo ʻia he 1.5 Volt ka nui o nā pila ʻelua i kēlā me kēia emf a he 0.1 Ω ka waiwai kū'ē i loko o kēlā me kēia pila. ʻO ke kū'ē kūwaho (R) = 10 Ω.
E hoʻohana i ke ʻano ma mua:
ε = 1.5 Volt
1/r = 1/0.1 + 1/0.1 = 2 / 0.1
r = 0.1 / 2 = 0.05 Ω
ʻO I = ε / (r + R) = 1.5 / (0.05 + 10) = 1.5 / 10.05
I = 0.149 A
E hoʻohana i ke kānāwai o Kirchhoff
E hoʻopili i ke kānāwai mua a Kirchhoff :
I 1 + I 2 = I ………. Kaulike 1
E kālailai i ka loop Aefca. ʻO ke kuhikuhi o ka loop he ʻaoʻao ʻākau. E hoʻopili i ka lula ʻelua o Kirchhoff:
ε 2 – I 1 r 2 – IR = 0
1.5 – 0.1 I 1 – 10 I = 0
– 0.1 I 1 = 10 I – 1.5
ʻI 1 = (10 ʻI – 1.5) / – 0.1
ʻO I 1 = -100 ʻO I + 15 ………. Kaulike 2
E kālailai i ka loop Befdb. ʻO ke kuhikuhi o ka loop he ʻaoʻao ʻākau. E hoʻopili i ke kānāwai ʻelua o Kirchhoff:
ε 1 – I 2 r 1 – IR = 0
1.5 – 0.1 I 2 – 10 I = 0
– 0.1 I 2 = 10 I – 1.5
ʻI 2 = (10 ʻI – 1.5) / – 0.1
ʻO I 2 = -100 ʻO I + 15 ………. Kaulike 3
E hoʻololi i nā kaulike 2 a me 3 i ka kaulike 1:
ʻAu 1 + ʻAu 2 = ʻAu
-100 I + 15 – 100 I + 15 = I
– 200 I + 30 = I
30 = I + 200 I
30 = 201 ʻI
I = 30 / 201
I = 0.149 A
E hoʻopau i ka hoʻohālikelike 2 a me 3:
ʻO 1 = -100 ʻO 1 + 15
ʻO 2 = -100 ʻO 1 + 15
———————– –
ʻI 1 – ʻI 2 = 0
I 1 = I 2 ………. Hoʻohālikelike 4
No ka mea, ʻo I 1 + I 2 = I, kahi ʻo I 1 = I 2 a laila ʻo I 1 = I 2 = 1/2 I = 1/2 (0.149) = 0.0745 A.
