Nā EMF ma ke ʻano moʻo a me ke ʻano like

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 ka mea like anakahi uila ʻo ke kumu (ε):

ε = ε₁ + ε₂ + ε_n

ʻO ke kū'ē kūloko like (r) penei:

r = r₁ +r₂ +r_n

ʻO ke au uila e kahe ana ma o ke kū'ē kūwaho (R):

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 = ε_n

ʻO ke kū'ē kūloko like (r) penei:

1/r = 1/r₁ + 1/r₂ + 1/r_n

ʻO ke au uila e kahe ana ma o ke kū'ē kūwaho (R):

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

pili ʻO Kirchhoffke kānāwai mua a:

I₁ + ʻO wau₂ =I ………. Hoʻohālikelike 1

E kālailai i ka loop Aefca. ʻO ke kuhikuhi o ka loop he ʻaoʻao ʻākau. E hoʻopili i ka lula ʻelua o Kirchhoff:

ε₂ - I₁ r₂ – IR = 0

1.5 – 0.1 ʻAu₁ – 10 I = 0

– 0.1 ʻAu₁ = 10 I – 1.5

I₁ = (10 I – 1.5) / – 0.1

I₁ = -100 I + 15 ………. ʻO ke 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:

ε₁ - I₂ r₁ – IR = 0

1.5 – 0.1 ʻAu₂ – 10 I = 0

- 0.1 I₂ = 10 I – 1.5

I₂ = (10 I – 1.5) / – 0.1

I₂ = -100 I + 15 ………. ʻO ke kaulike 3

E hoʻololi i nā kaulike 2 a me 3 i ka kaulike 1:

I₁ + ʻO wau₂ =I

-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:

I₁ = -100 I + 15

I₂ = -100 I + 15

———————– –

I₁ - I₂ = 0

I₁ =I₂ ………. Hoʻohālikelike 4

No ka mea₁ + ʻO wau₂ = ʻO wau, kahi aʻu₁ =I₂ a laila wau₁ =I₂ = 1/2 I = 1/2 (0.149) = 0.0745 A.