Ngā EMF raupapa me te whakarara

Ngā EMF raupapa me te whakarara

Mena e rua, neke atu rānei ngā pūtake hiko (emf) e hono ana e whakaaturia ana i te pikitia, ka whakaritea te emf kia raupapa.

Ko te ōrite ngaohiko ko te pūtake (ε) ko:

ε = ε₁ + ε₂ + ε_n

Ko te ātete ā-roto ōrite (r) ko:

r = r₁ +r₂ +r_n

Ko te iahiko e rere ana i roto i te ātete o waho (R) ko:

Ahau = ε / (r + R)

Tauira raruraru:

Me kī ko te hiko o ia pākahiko e rua he 1.5 Volt, ā, ko te ātete ā-roto o ia pākahiko he 0.1 Ω. Ko te ātete ā-waho (R) = 10 Ω. Ko te ahunga o te iahiko ki te taha matau.

Whakamahia te tātai o mua:

ε = 1.5 + 1.5 = 3 Ngāohiko

r = 0.1 + 0.1 = 0.2 Ω

I = ε / (r + R) = 3 / (0.2 + 10)

I = 3/10.2

I = 0.294 A

Whakamahia te ture tuarua a Kirchhoff:

1.5 – 0.1 I + 1.5 – 0.1 I – 10 I = 0

3 – 0.2 I – 10 I = 0

3 – 10.2 I = 0

3 = 10.2 ahau

I = 3/10.2

I = 0.294 A

Mena e rua, neke atu rānei ngā pūtake hiko (emf) e hono ana e whakaaturia ana i te pikitia, ka honoa whakarara te emf.

Ko te pūtake ngaohiko ōrite (ε) ko:

ε = ε₁ = ε₂ = ε_n

Ko te ātete ā-roto ōrite (r) ko:

1/r = 1/r₁ + 1/r₂ + 1/r_n

Ko te iahiko e rere ana i roto i te ātete o waho (R) ko:

Ahau = ε / (r + R)

Tauira raruraru:

Me kī ko te kaha o ia pākahiko e rua he 1.5 Volt, ā, ko te ātete i roto i ia pākahiko he 0.1 Ω. Ko te ātete o waho (R) = 10 Ω.

Whakamahia te tātai o mua:

ε = 1.5 Ngāohiko

1/r = 1/0.1 + 1/0.1 = 2 / 0.1

r = 0.1 / 2 = 0.05 Ω

I = ε / (r + R) = 1.5 / (0.05 + 10) = 1.5 / 10.05

I = 0.149 A

Whakamahia te ture a Kirchhoff

Anga Kirchhoffte ture tuatahi:

I₁ + Ko ahau₂ = Ahau ………. Whārite 1

Tātarihia te koropiko Aefca. Ko te ahunga o te koropiko he taha matau. Whakamahia te ture tuarua a Kirchhoff:

ε₂ - Ahau₁ r₂ – IR = 0

1.5 – 0.1 ahau₁ – 10 I = 0

– 0.1 ahau₁ = 10 I – 1.5

I₁ = (10 I – 1.5) / – 0.1

I₁ = -100 I + 15 ………. Taarua 2

Tātarihia te koropiko Befdb. Ko te ahunga o te koropiko he taha matau. Whakamahia te ture tuarua a Kirchhoff:

ε₁ - Ahau₂ r₁ – IR = 0

1.5 – 0.1 ahau₂ – 10 I = 0

- 0.1 Ko ahau₂ = 10 I – 1.5

I₂ = (10 I – 1.5) / – 0.1

I₂ = -100 I + 15 ………. Taarua 3

Whakakapia ngā whārite 2 me te 3 ki te whārite 1:

I₁ + Ko ahau₂ = Ahau

-100 I + 15 – 100 I + 15 = I

– 200 I + 30 = I

30 = I + 200 I

30 = 201 ahau

I = 30/201

I = 0.149 A

Whakakorea te whārite 2 me te 3:

I₁ = -100 I + 15

I₂ = -100 I + 15

——————– –

I₁ - Ahau₂ = 0

I₁ = Ahau₂ ………. Whārite 4

No te mea₁ + Ko ahau₂ = Au, kei hea ahau₁ = Ahau₂ kātahi ahau₁ = Ahau₂ = 1/2 I = 1/2 (0.149) = 0.0745 A.