Ngā tauira pātai me ngā tātai mō ngā ara iahiko hiko me te ātete hiko
Ngā ara iahiko hiko
1. Tirohia te hoahoa ara iahiko hiko e whai ake nei. Ko te rahi o te iahiko e rere ana i roto i te ātete 8 Ohm ko….
A. 1,8 Āpere
B. 1,2 Āpere
C. 0,8 Āmpere
D. 0,6 Āmpere
Kōrero
E mōhiotia ana:
Ātete 1 (R1) = 12 Ω
Ātete 2 (R2) = 8 Ω
Ātete 3 (R3) = 10 Ω
Ngaohiko hiko (V) = 12 Volts
Pātai: Te kaha o te au i roto i a R1
Whakautu:
Ka rere te iahiko mai i te pūmanawa teitei ki te pūmanawa iti. Ko te ahunga o te iahiko i roto i te ara iahiko i runga ake nei he rite tonu ki te ahunga o ngā ringaringa karaka.
Te iahiko e rere ana i waho o te pākahiko:
Tuatahi, tatauhia te ātete whakakapinga (R). Whai muri i tēnā, tatauhia te iahiko mā te whakamahi i te tātai ture a Ohm: V = IR, I rānei = V / R, ko V = ngaohiko, I = iahiko, R = ātete whakakapinga.
Ātete whakakapinga:
Ātete R1 me te ātete R2 kua whakaritea kia raupapa. Ko te ātete whakakapinga ko:
R12 = R1 + R2 = 12 + 8 = 20 Ω
Ātete R12 me te ātete R3 whakaritea kia whakarara. Ko te ātete whakakapinga ko:
1/R = 1/R12 + 1/R3 = 1/20 + 1/10 = 1/20 + 2/20 = 3/20
R = 20/3 Ω
Te iahiko e rere ana i waho o te pākahiko:
I = V / R = 12 : 20/3 = 12 x 3/20 = 36/20 = 1,8 Āmpere
Ko te iahiko e rere ana i waho o te pākahiko he 1,8 Amperes.
Te iahiko e rere ana i roto i tētahi ātete 8 Ω
Vab = 12 Ngaohiko
R12 = 20 Ω
R3 = 10 Ω
Te iahiko e rere ana i roto i tētahi ātete 10 Ω
I3 =Vab / R3 = 12 Ngā Waohiko / 10 Ω = 1,2 Āpere
Te iahiko e rere ana i roto i tētahi ātete 20 Ω
I12 =Vab / R12 = 12 Ngā Waohiko / 20 Ω = 0,6 Āpere
E ai ki te Ture Tuatahi a Kirchhoff, ko te iahiko e tomo ana ki tētahi peka he rite tonu ki te iahiko e puta atu ana i taua peka. I runga i... Te ture tuatahi a Kirchhoff Ko te whakatau ko te iahiko e tika ana mā roto i tētahi ātete 20 Ω = te iahiko e tika ana mā roto i tētahi ātete 12 Ω = te iahiko e tika ana mā roto i tētahi ātete 8 Ω = 0,6 Amperes.
Ko te whakautu tika ko D.
2.
Kia tūpato ki te ara iahiko hiko kua kati e whai ake nei!
Ki te kore e arohia te ātete i roto i te pūtake ngaohiko, ko te rerekētanga pūmanawa i waenga i ngā pito o te ātete 6 Ohm ko….
A. 3 Ngā Waohiko
B. 2 Ngā Waohiko
C. 2/3 Ngāohiko
D. 1/3 Ngaohiko
Kōrero
E mōhiotia ana:
Ātete 1 = 4 Ω
Ātete 2 = 3 Ω
Ātete 3 = 6 Ω
Ngaohiko (V) = 6 ngaohiko
Pātai: Te rerekētanga pūmanawa i waenga i ngā pito o te ātete 6 Ohm
Whakautu:
Kei te honoa whakarara tētahi ātete 3 Ω me tētahi ātete 3 Ω. Ko te ātete whakakapinga ko:
1/R23 = 1/3 Ω + 1/6 Ω = 2/6 Ω + 1/6 Ω = 3/6 Ω
R23 = 6/3 Ω = 2 Ω
Ka honoa raupapatia he ātete 4 Ω me te ātete 2 Ω. Ko ngā ātete whakakapinga ko:
R = 4 Ω + 2 Ω = 6 Ω
Te kaha o te iahiko e puta mai ana i te pūtake ngaohiko:
I = V / R = 6 volts / 6 ohms = 1 Ampere
Ka honoa raupapatia tētahi ātete 4 Ω me tētahi ātete 2 Ω, kia rite ai ki te ture tuatahi a Kirchooff, ko te iahiko e puta ana i roto i te ātete 4 Ω he rite ki te iahiko e puta ana i roto i te ātete 2 Ω = 1 Ampere.
Te rerekētanga pūmanawa i waenga i ngā pūwāhi a me b:
V = IR = (1 Ampere)(2 Ohms) = 2 volts
Te rerekētanga pūmanawa i waenga i ngā pūwāhi a me b = te rerekētanga pūmanawa i waenga i ngā pito o te ātete 2 Ω = te rerekētanga pūmanawa i waenga i ngā pito o te ātete 3 Ω = te rerekētanga pūmanawa i waenga i ngā pito o te ātete 6 Ω = 2 volts.
Ko te whakautu tika ko B.
Ātete hiko
3. E toru ngā ātete hiko, ki te whakaritea kia whakarara, ko te uara ātete he 12/11 Ohm, ki te whakaritea kia raupapa ko te uara he 12 Ohm, ko te uara o ia ātete ko...
A. 1 Ōhm, 2 Ōhm, 3 Ōhm
B. 2 Ōhm, 4 Ōhm, 6 Ōhm
C. 1 Ōhm, 3 Ōhm, 5 Ōhm
D. 3 Ōhm, 4 Ōhm, 5 Ōhm
Kōrero
Mena ka whakaritea te ātete hiko i roto i te raupapa, ka tatauhia te ātete ōrite mā te whakamahi i te tātai:
R = R1 + R2 + R3
12 = R1 + R2 + R3
Ko ngā kōwhiringa e taea ana ko ngā whakautu B me D.
Mena ka whakaritea te ātete hiko kia whakarara, ka tatauhia te ātete ōrite mā te whakamahi i te tātai: 1/R = 1/R1 + 1/R2 + 1/R3.
Ki te whakamahi koe i te whakautu B, kāti:
1/R = 1/2 + 1/4 + 1/6
1/R = 6/12 + 3/12 + 2/12
1/R = 11/12
R = 12/11
Ko te whakautu tika ko B.
Momo ārai
4. Ko te ātete o te tungsten me te tine he 5,5 x 10 ia.-8 Mita Ōm me te 22 x 10-8 Mita Ōhm. E 5 mita te roa o te waea tungsten me te waea tine. Mena he rite te uara ātete o ngā waea e rua, ā, he 2 mm te whānui o te tungsten, ko te whānui o te waea mata he... mmm
A. 2
B. 4
C. √2
D. ½ √2
Kōrero
E mōhiotia ana:
Ātete Tungsten (ρ1) = 5,5 x 10-8 Mita Ōm
Te ātete tine (ρ)2) = 22 x 10-8 Mita Ōm
Te roa o te waea tungsten (L)1) = 5 mita
Te roa o te waea mata (L)2) = 5 mita
Te whānui o te tungsten (D1) = 2 mm
Te pūtoro o te tungsten (R1) = 1/2 (D) = 1/2 (2 mm) = 1 mm = 1 x 10-3 mita
Pātai: Te whānui o te mata (D)2)
Whakautu:
Te horahanga mata o te waea tungsten:
A1 = π r2 = π (10-3)2 = π 10-6
He rite tonu te uara ātete o te waea tungsten me te waea tine.
R1 = R2
ρ1 L1 / TO1 = ρ2 L2 / TO2
(5,5x10-8)(5) / π 10-6 = (22 x 10-8)(5) / π r2
5,5 / 10-6 = 22 / r2
5,5 r2 = 22x10-6
r2 = (22 x 10-6 ) / 5,5
r2 = 4x10-6
r = 2 x 10-3 mita
r = 2 mirimita
Ko te whakautu tika ko A.
Pūtake pātai:
Ngā Pātai OSN mō te Ahupūngao o te Kura Tuarua
