Tauira o te ara iahiko ātete

3 Ngā tauira o ngā pātai ara iahiko ātete

1. Ko te raupapa o ngā ātete i raro nei kei a ia te ātete ōrite nui rawa atu ko...

Kōrero

Whakautu A

R₁ = 2 Ω, R₂ = 2 Ω, R₃ = 6 Ω, R₄ = 6 Ω

R₃ tāne R₄ honoa whakarara. Ko te ātete whakakapinga ko:

1 / R₃₄ = 1/R₃ + 1/R₄ = 1/6 + 1/6 = 2/6

R₃₄ = 6/2 = 3 Ω

R_1, R₂ tāne R₃₄ honoa raupapa. Ko te ātete whakakapinga ko:

R = R₁ + R₂ + R₃₄ = 2 Ω + 2 Ω + 3 Ω

R = 7 Ω

Whakautu B

R₁ = 2 Ω, R₂ = 4 Ω, R₃ = 4 Ω, R₄ = 8 Ω

R₂ tāne R₃ honoa raupapa. Ko te ātete whakakapinga ko:

R₂₃ = R₂ + R₃ = 4 Ω + 4 Ω = 8 Ω

R₂₃ tāne R₄ honoa whakarara. Ko te ātete whakakapinga ko:

1 / R₂₃₄ = 1/R₂₃ + 1/R₄ = 1/8 + 1/8 = 2/8

R₂₃₄ = 8/2 = 4 Ω

R₁ tāne R₂₃₄ honoa raupapa. Ko te ātete whakakapinga ko:

R = R₁ + R₂₃₄ = 2 Ω + 4 Ω

R = 6 Ω

Whakautu C

R₁ = 9 Ω, R₂ = 9 Ω, R₃ = 9 Ω, R₄ = 2 Ω

R_1, R₂ tāne R₃ honoa whakarara. Ko te ātete whakakapinga ko:

1 / R₁₂₃ = 1 /R₁ + 1/R₂ + 1/R₃ = 1/9 + 1/9 + 1/9 = 3/9

R₁₂₃ = 9/3 = 3 Ω

R₁₂₃ tāne R₄ honoa raupapa. Ko te ātete whakakapinga ko:

R = R₁₂₃ + R₄ = 3 Ω + 2 Ω

R = 5 Ω

Whakautu D

R₁ = 5 Ω, R₂ = 10 Ω, R₃ = 2 Ω, R₄ = 2 Ω

R₁ tāne R₂ honoa whakarara. Ko te ātete whakakapinga ko:

1 / R₁₂ = 1/R₁ + 1/R₂ = 1/5 + 1/10 = 2/10 + 1/10

1 / R₁₂ = 3 / 10

R₁₂ = 10 / 3 Ω

R₃ tāne R₄ honoa whakarara. Ko te ātete whakakapinga ko:

1 / R₃₄ = 1/R₃ + 1/R₄ = 1/2 + 1/2 = 2/2

R₃₄ = 1 Ω

R₁₂ tāne R₃₄ honoa raupapa. Ko te ātete whakakapinga ko:

R = R₁₂ + R₃₄ = 10/3 + 3/3 = 13/3

R = 4,3 Ω

Ko te whakautu tika ko A.

2. Ko te ātete ōrite i te ahua i raro nei ko…

A. 26 Ōhm

B. 16 Ohm

C. 15 Ohm

D. 11 Ohm

Kōrero

Ka honoa ngā ātete 6 Ω, 3 Ω me te 2 Ω ki te taha whakarara. Ko ngā ātete whakakapinga ko:

1 / R_P = 1/6 + 1/3 + 1/2 = 1/6 + 2/6 + 3/6 = 6/6

R_P = 6/6 = 1 Ω

Ka honoa raupapatia ngā ātete 7 Ω, 8 Ω, me te 1 Ω. Ko ngā ātete whakakapinga ko:

R = 7 + 8 + 1 = 16 Ω

Ko te whakautu tika ko B.

3. E hia te Rp i roto i te ara iahiko whakauru i raro nei?

A. 8 ōhm

B. 1/8 ohm

C. 1 ohm

D. 7 ohms

Kōrero

E mōhiotia ana:

Ātete 1 (R₁) = 2 Ōhm

Ātete 2 (R₂) = 2 Ōhm

Ātete 3 (R₃) = 2 Ōhm

Ātete 4 (R₄) = 2 Ōhm

I pātaihia: Ātete whakakapinga

Whakautu:

Ātete R₂ me te ātete R₃ hono whakarara. Ātete whakakapinga:

1 / R₂₃ = 1/R₂ + 1/R₃

1 / R₂₃ = 1/2 + 1/2 = 2/2

R₂₃ = 1 Ōhm

Ātete R₁, ātete R₂₃ me te ātete R₃ honoa raupapa. Ātete whakakapinga:

R = R₁ + R₂ + R₃ = 2 + 1 + 2

R = 5 Ōhm

Ko te whakautu tika ko te 5 Ōhm.

Pūtake pātai:

Ngā Pātai Whakamātautau Pūtaiao ā-Motu mō te Kura Tuarua/Kura Tuarua Ihirama