Ngā Tauira Pātai e Matapaki ana i ngā Porowhita Whakarara
Pendahuluan
He maha ngā momo whirihoranga o ngā ara iahiko hiko, tae atu ki ngā ara iahiko raupapa me ngā ara iahiko whakarara. He āhuatanga me ngā painga motuhake tō ia whirihoranga. I roto i tēnei tuhinga, ka matapakihia e mātou ngā ara iahiko whakarara me te hōhonu, me ngā tauira raruraru me ngā whakamārama. He maha ngā whakamahinga o ngā ara iahiko whakarara i roto i ngā tono maha nā te mea ka taea e rātou te pupuri i te ngaohiko kotahi puta noa i ia wāhanga, ā, ka taea te momotu i tētahi peka me te kore e pā ki ētahi atu.
Te Whakamāramatanga o te Porowhita Whakarara
Ko te ara iahiko whakarara he ara iahiko hiko e honoa ana ngā wāhanga hiko e rua, neke atu rānei, kia maha atu ngā ara hei rere i te iahiko. I tēnei ara iahiko, he ōrite te ngaohiko puta noa i ia wāhanga, engari ka wehea te iahiko e rere ana i waenganui i a rātou. He maha ngā whakamahinga o ngā ara iahiko whakarara i roto i ngā mahi tūturu pēnei i te rama kāinga, ina mate tetahi rama, ka noho tonu ngā rama e toe ana.
Ngā Ture me ngā Tātai Taketake mō ngā Porowhita Whakarara
Ko ētahi o ngā ture taketake e whakamahia ana i roto i te tātaritanga ara iahiko whakarara ko:
1. Te Ture a Ohm: V = I × R, ko V te ngaohiko, ko I te iahiko, ā, ko R te ātete.
2. Ātete Katoa i roto i te Porowhita Whakarara: Ka taea te tatau i te ātete katoa (R_total) i roto i te porowhita whakarara mā te whakamahi i te tātai:
\[
\frac{1}{R_{\text{tapeke}}} = \frac{1}{R_1} + \frac{1}{R_2} + \ldots + \frac{1}{R_n}
\]
ko \(R_1, R_2, …, R_n\) ngā ātete o ia wāhanga o te ara iahiko.
3. He rite tonu te ngaohiko puta noa i ia huānga: \( V_{total} = V_1 = V_2 = V_3 = \ldots = V_n \)
4. Ko te iahiko katoa ko te tapeke o ngā iahiko e rere ana i roto i ia huānga:
\[
I_{\text{katoa}} = I_1 + I_2 + I_3 + \ldots + I_n
\]
Ngā Tauira Pātai me ngā Kōrerorero
Hei mārama ake ki te tātari i ngā ara iahiko whakarara, anei ētahi tauira pātai me ā rātou matapakinga.
Tauira Pātai 1
E toru ngā ātete e honoa ana (R_1 = 6 \Omega \), (R_2 = 3 \Omega \), me (R_3 = 2 \Omega \) kia rite te hononga, ā, ko te pūtake ngaohiko e hoatu ana ko te 12 V. Whakatauhia:
1. Te ātete katoa o te ara iahiko whakarara.
2. Te ia e rere ana i roto i ia ātete.
3. Te tapeke o te iahiko i roto i te ara iahiko.
Kōrero
1. Te Tātai i te Ātete Katoa:
Mā te whakamahi i te tātai ātete katoa i roto i te ara iahiko whakarara:
\[
\frac{1}{R_{\text{tapeke}}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}
\]
\[
\frac{1}{R_{\text{tapeke}}} = \frac{1}{6} + \frac{1}{3} + \frac{1}{2}
\]
\[
\frac{1}{R_{\text{tapeke}}} = \frac{1}{6} + \frac{2}{6} + \frac{3}{6} = \frac{6}{6} = 1
\]
\[
R_{\text{total}} = 1 \Omega
\]
2. Te Tātai i te Iahiko i roto i ia Ātete:
He rite te ngaohiko puta noa i ia ātete ki te ngaohiko pūtake, arā, 12 V.
Te whakamahi i te Ture a Ohm \( V = I \times R \):
Mō \( R_1 \):
\[
I_1 = \frac{V}{R_1} = \frac{12 \, \text{V}}{6 \, \Omega} = 2 \, \text{A}
\]
Mō \( R_2 \):
\[
I_2 = \frac{V}{R_2} = \frac{12 \, \text{V}}{3 \, \Omega} = 4 \, \text{A}
\]
Mō \( R_3 \):
\[
I_3 = \frac{V}{R_3} = \frac{12 \, \text{V}}{2 \, \Omega} = 6 \, \text{A}
\]
3. Te Tātai i te Tapeke o te Iahiko:
\[
I_{\kākau{katoa}} = I_1 + I_2 + I_3 = 2 \, \kākau{A} + 4 \, \kākau{A} + 6 \, \kākau{A} = 12 \, \kākau{A}
\]
Tauira Pātai 2
E rua ngā rama e honoa ana \( R_1 = 4 \Omega \) me \( R_2 = 4 \Omega \) kia rite te hononga, ā, ka whiwhi i te pūtake hiko o te 16 V. Whakatauhia:
1. Te hiko o ia rama.
2. Te ia e rere ana i roto i ia rama.
3. Te tapeke o te iahiko e rere ana i roto i te ara iahiko.
Kōrero
1. Te hiko o ia rama:
Nā te mea e honoa ana ngā rama i te taha whakarara, he rite tonu te ngaohiko puta noa i ia rama ki te ngaohiko pūtake:
\[
V_{R1} = V_{R2} = 16 \, \text{V}
\]
2. Tātaihia te iahiko o ia rama:
Mā te whakamahi i te tātai Ture a Ohm \( V = I \times R \):
Mō \( R_1 \):
\[
I_1 = \frac{V}{R_1} = \frac{16 \, \text{V}}{4 \, \Omega} = 4 \, \text{A}
\]
Mō \( R_2 \):
\[
I_2 = \frac{V}{R_2} = \frac{16 \, \text{V}}{4 \, \Omega} = 4 \, \text{A}
\]
3. Te Tātai i te Tapeke o te Iahiko:
\[
I_{\text{tapeke}} = I_1 + I_2 = 4 \, \text{A} + 4 \, \text{A} = 8 \, \text{A}
\]
Whakamutunga
I roto i tēnei tuhinga, kua hipokina e mātou ngā kaupapa matua o ngā ara iahiko whakarara, tae atu ki te whakamāramatanga, ngā ture, me ngā tātai taketake e whakamahia ana i roto i te tātari ara iahiko whakarara. Hei tāpiri, kua whakaatuhia ngā tauira maha hei mahi whaihua hei mārama ki ēnei ariā. Mā te mōhio ki te tatau i te ātete katoa, te iahiko i roto i ia wāhanga, me te iahiko katoa i roto i te ara iahiko whakarara, e tūmanakohia ana ka pai ake te mārama o ngā kaipānui ki te mahi a ngā ara iahiko whakarara i roto i ngā mahi o ia rā. He whirihoranga tino nui ngā ara iahiko whakarara i roto i te ao hiko me te hikohiko, ā, he tino whaihua te māramatanga pai ki a rātou, i roto i ngā horopaki mātauranga me ngā horopaki mahi.
