Tauira o tētahi Pātai Kōrero mō te Arahiko Pūnga
Ko te pūnga hiko he wāhanga hiko e penapena ana i te pūngao hiko i roto i te āhua o te papa hiko. I roto i ngā tono hiko me ngā ara iahiko hiko, he maha ngā wā ka whakamahia ngā pūnga hei tātari, hei rokiroki, hei whakahaere tohu rānei. I roto i tēnei tuhinga, ka matapakihia e mātou ētahi tauira me ngā ara iahiko pūnga, inā koa ko ērā kua whakaritea kia raupapa me kia whakarara.
Ngā Kaupapa Taketake o te Pūnga
I mua i te urunga atu ki ngā pātai matapaki, he mea pai kia mārama ki ētahi ariā taketake mō ngā pūnga:
1. Te Pūngao (C): Ko te pūngao he ine i te kaha o te pūngao ki te penapena i te utu mō ia wae ngaohiko, me ngā wae o Farads (F). I roto i te mahi, he maha ngā wā ka whakamahia ngā wae iti pēnei i te maikorofarads (μF), te nanofarads (nF), te pikofarads rānei (pF).
2. Pūngao Penapena: Ka tatauhia te pūngao kua rongoatia i roto i te pūngao mā te whakamahi i te tātai:
\[
E = \frac{1}{2} CV^2
\]
ko \( E \) te pūngao i roto i ngā joule, ko \( C \) te kaha i roto i ngā farad, ā, ko \( V \) te ngaohiko i roto i ngā volts.
3. Porowhita Raupapa Pūnga: Ko ngā pūnga e honoa ana i roto i te raupapa he pūnga katoa \( C_{\text{total}} \) ka taea te tatau mā te whakamahi i te tātai:
\[
\frac{1}{C_{\text{total}}} = \frac{1}{C_1} + \frac{1}{C_2} + \frac{1}{C_3} + \ldots
\]
ko \( C_1, C_2, C_3, \ldots \) te kaha o ia kaha.
4. Porowhita Pūngao Whakarara: Ko ngā pūngao e honoa whakarara ana he kaha katoa \( C_{\text{total}} \) ka taea te tatau mā te whakamahi i te tātai:
\[
C_{\text{katoa}} = C_1 + C_2 + C_3 + \ldots
\]
Tauira 1: Porowhita Raupapa Pūnga
Pātai
E rua ngā pūnga hiko me ngā kaha āputaputa \( C_1 = 5 \mu F \) me \( C_2 = 10 \mu F \) e honoa ana i roto i te raupapa. Tātaihia te kaha āputaputa katoa o te ara iahiko.
Kōrero
Mā te whakamahi i te tātai capacitance raupapa:
\[
\frac{1}{C_{\text{total}}} = \frac{1}{C_1} + \frac{1}{C_2}
\]
Kātahi ka whakakapia ngā uara:
\[
\frac{1}{C_{\text{total}}} = \frac{1}{5 \mu F} + \frac{1}{10 \mu F}
\]
\[
\frac{1}{C_{\text{total}}} = \frac{2}{10 \mu F} + \frac{1}{10 \mu F}
\]
\[
\frac{1}{C_{\text{total}}} = \frac{3}{10 \mu F}
\]
Nō reira, ko te kaha katoa:
\[
C_{\text{katoa}} = \frac{10 \mu F}{3} = 3.33 \mu F
\]
Nō reira, ko te kaha katoa o te ara iahiko raupapa o ngā kaha e rua ko \( 3.33 \mu F \).
Tauira 2: Porowhita Pūnga Whakarara
Pātai
E rua ngā pūnga hiko me ngā kaha hiko \( C_1 = 4 \mu F \) me \( C_2 = 6 \mu F \) e honoa ana i te taha whakarara. Tātaihia te kaha hiko katoa o te ara iahiko.
Kōrero
Mā te whakamahi i te tātai kaha whakarara:
\[
C_{\text{katoa}} = C_1 + C_2
\]
Kātahi ka whakakapia ngā uara:
\[
C_{\text{total}} = 4 \mu F + 6 \mu F
\]
\[
C_{\text{total}} = 10 \mu F
\]
Nō reira, ko te kaha katoa o te ara iahiko whakarara o ngā kaha e rua ko \( 10 \mu F \).
Tauira 3: Pūngao e Penapenahia ana i roto i te Pūngao
Pātai
Ka utaina he pūngao me te kaha o te \( 2 \mu F \) ki te ngaohiko o \( 12 V \). Tātaihia te pūngao e rongoa ana i roto i te pūngao.
Kōrero
Ka tatauhia te pūngao e rongoatia ana i roto i te pūngao mā te whakamahi i te tātai:
\[
E = \frac{1}{2} CV^2
\]
Kātahi ka whakakapia ngā uara:
\[
E = \frac{1}{2} \cdot 2 \mu F \cdot (12 V)^2
\]
\[
E = \frac{1}{2} \cdot 2 \mu F \cdot 144 V^2
\]
\[
E = 1 \mu F \cdot 144 V^2
\]
\[
E = 144 \mu J
\]
Nō reira, ko te pūngao e rongoatia ana i roto i te pūnga ko \( 144 \mu J \).
Tauira Pātai 4: Ngā Huinga Raupapa me ngā Huinga Whakarara
Pātai
E toru ngā pūnga hiko e honoa ana \( C_1 = 2 \mu F \), \( C_2 = 3 \mu F \), me \( C_3 = 6 \mu F \) i roto i te huinga raupapa me te whakakotahitanga whakarara e whakaaturia ana i te pikitia i raro nei. Ka honoa ngā pūnga hiko \( C_1 \) me \( C_2 \) i roto i te raupapa, kātahi ka honoa whakarara ki te pūnga hiko \( C_3 \). Tātaihia te katoa o te pūnga hiko o te ara iahiko.
""
C3
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| |
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C1 C
| 2
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C3
""
Kōrero
Tuatahi, tatauhia te kaha katoa o \( C_1 \) me \( C_2 \) e honoa ana i roto i te raupapa:
\[
\frac{1}{C_{12}} = \frac{1}{C_1} + \frac{1}{C_2}
\]
\[
\frac{1}{C_{12}} = \frac{1}{2 \mu F} + \frac{1}{3 \mu F}
\]
\[
\frac{1}{C_{12}} = \frac{3}{6 \mu F} + \frac{2}{6 \mu F}
\]
\[
\frac{1}{C_{12}} = \frac{5}{6 \mu F}
\]
Nō reira, ko te kaha:
\[
C_{12} = \frac{6 \mu F}{5} = 1.2 \mu F
\]
Muri iho, ka honoa whakarara a \( C_{12} \) ki a \( C_3 \), kātahi:
\[
C_{\text{katoa}} = C_{12} + C_3
\]
\[
C_{\text{total}} = 1.2 \mu F + 6 \mu F
\]
\[
C_{\text{total}} = 7.2 \mu F
\]
Nō reira, ko te kaha katoa o te ara iahiko whakakotahi ko \( 7.2 \mu F \).
Whakamutunga
He wāhanga nui ngā pūnga hiko i roto i ngā ara iahiko hiko, ā, he tino whai hua te mārama ki tā rātou mahi me ā rātou tātaitanga i roto i te hangarau hiko. Mā roto i ngā tauira i runga ake nei, kua ako tātou me pēhea te tatau i te pūnga katoa o ngā ara iahiko raupapa, whakarara, me ngā ara iahiko whakakotahi, tae atu ki te tatau i te pūngao e rongoa ana i roto i te pūnga hiko. Mā tēnei māramatanga, ka taea e tātou te whakamahi ki ngā momo ara iahiko me ngā āhuatanga mahi i roto i te ao hiko.
