Formula Resistor Parallel Series
He mau ʻāpana koʻikoʻi nā resistors i nā kaapuni uila, i hoʻohana ʻia e hoʻoponopono i ke au a me ka voltage. I nā noi he nui, hiki ke hoʻopili ʻia nā resistors i nā hoʻonohonoho like ʻole e hoʻokō ai i ka waiwai kū'ē i makemake ʻia. Hoʻohana pinepine ʻia ʻelua mau hoʻonohonoho kumu: series a me parallel. E wehewehe kēia ʻatikala i nā haʻilula a me nā manaʻo e pili ana i nā resistors series a me parallel, a me kā lākou noi ma nā ʻano like ʻole.
1. Nā Palekana Moʻo
Ma ke kaapuni moʻo, ua hoʻopili ʻia nā resistors ma ke ʻano moʻo me kekahi. ʻO ke au e kahe ana ma o kēlā me kēia resistor ua like ia, akā hiki ke ʻokoʻa ka hāʻule ʻana o ke voltage ma kēlā me kēia resistor. ʻO ke ʻano kūʻē holoʻokoʻa no nā resistors i hoʻopili ʻia ma ke ʻano moʻo ʻo ia ka huina o nā kūʻē pākahi āpau. Ma ke ʻano makemakika, ua hāʻawi ʻia ka kūʻē holoʻokoʻa (\(R_{total} \)) i loko o kahi kaapuni moʻo e:
\[ R_{total} = R_1 + R_2 + R_3 + \ldots + R_n \]
Ma kahi o \(R_1, R_2, R_3, \ldots, R_n \) ka waiwai kū'ē pākahi o kēlā me kēia resistor i loko o ke kaapuni.
laʻana:
Inā loaʻa iā mākou ʻekolu mau resistors me nā waiwai \(R_1 = 2 \Omega \), \(R_2 = 4 \Omega \), a me \(R_3 = 6 \Omega \), a laila ʻo ka huina kū'ē ma ke kaapuni moʻo:
\[ R_{total} = 2 \Omega + 4 \Omega + 6 \Omega = 12 \Omega \]
2. Nā mea kū'ē like
Ma kahi kaapuni like, ua hoʻopili ʻia nā resistors i mea e hoʻopili ʻia ai ko lākou mau kikowaena i kahi like. ʻO ke anakahi uila ma waena o kēlā me kēia resistor ua like ia, akā hiki ke ʻokoʻa ke au e kahe ana ma o kēlā me kēia resistor. ʻO ke ʻano no ka huina kūʻē no nā resistors i hoʻopili ʻia ma ke ʻano like, ʻo ia ka pānaʻi o ka huina o nā pānaʻi o nā kūʻē pākahi a pau. Ma ke ʻano makemakika, ua hāʻawi ʻia ka huina kūʻē (\(R_{total} \)) i loko o kahi kaapuni like e:
\[ \frac{1}{R_{total}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + \ldots + \frac{1}{R_n} \]
laʻana:
Inā loaʻa iā mākou ʻekolu mau resistors me nā waiwai \(R_1 = 2 \Omega \), \(R_2 = 4 \Omega \), a me \(R_3 = 6 \Omega \), a laila ʻo ka huina kū'ē ma ke kaapuni like:
\[ \frac{1}{R_{total}} = \frac{1}{2 \Omega} + \frac{1}{4 \Omega} + \frac{1}{6 \Omega} \]
\[ \frac{1}{R_{total}} = 0.5 + 0.25 + 0.1667 = 0.9167 \]
\[ R_{total} = \frac{1}{0.9167} \approx 1.09 \Omega \]
3. Hoʻohuihui moʻo a me ke kaulike
I ka manawa pinepine, loaʻa i nā kaapuni uila kahi hui pū ʻana o nā resistors i hoʻopili ʻia ma ke ʻano moʻo a me ke ʻano like. No ka kālailai ʻana i ia ʻano kaapuni, pono mākou e hoʻopili i nā kumumanaʻo o nā ʻano pilina ʻelua i kēlā me kēia ʻanuʻu.
laʻana:
Manaʻo mākou he kaapuni kā mākou me ʻekolu mau resistors kahi i hoʻopili ʻia ai ʻo \( R_1 \) a me \( R_2 \) ma ke ʻano like, a laila hoʻopili ʻia kēia hui pū ʻana ma ke ʻano moʻo me \( R_3 \). ʻO nā waiwai resistor \( R_1 = 2 \Omega \), \( R_2 = 4 \Omega \), a me \( R_3 = 6 \Omega \).
1. ʻO ka mea mua, e helu i ka huina kū'ē o \( R_1 \) a me \( R_2 \) i hoʻopili ʻia ma ke ʻano like:
\[ \frac{1}{R_{12}} = \frac{1}{R_1} + \frac{1}{R_2} \]
\[ \frac{1}{R_{12}} = \frac{1}{2 \Omega} + \frac{1}{4 \Omega} \]
\[ \frac{1}{R_{12}} = 0.5 + 0.25 = 0.75 \]
\[ R_{12} = \frac{1}{0.75} = 1.33 \Omega \]
2. A laila, e helu i ka huina kū'ē o ka hui pū ʻana \( R_{12} \) i hoʻopili ʻia ma ke ʻano moʻo me \( R_3 \):
\[ R_{total} = R_{12} + R_3 \]
\[ R_{total} = 1.33 \Omega + 6 \Omega = 7.33 \Omega \]
4. Ka Uila a me ke Au i nā Kaapuni Series a me Parallel
a. Kaapuni Moʻo
– Voltage: ʻO ka huina voltage i loko o kahi kaapuni moʻo ka huina o nā hāʻule voltage ma kēlā me kēia resistor.
\[ V_{total} = V_1 + V_2 + V_3 + \ldots + V_n \]
– Au: Ua like ke au e kahe ana ma kēlā me kēia resistor.
\[ I_{total} = I_1 = I_2 = I_3 = \ldots = I_n \]
b. Kaapuni like
– Voltage: Ua like ka voltage i hāʻule ma kēlā me kēia resistor.
\[ V_{total} = V_1 = V_2 = V_3 = \ldots = V_n \]
– Au: ʻO ke au holoʻokoʻa i loko o kahi kaapuni like ka huina o nā au e kahe ana ma kēlā me kēia resistor.
\[ I_{total} = I_1 + I_2 + I_3 + \ldots + I_n \]
5. Hoʻohana ʻia ma ke ola o kēlā me kēia lā
Hoʻohana ʻia nā resistors ma nā hoʻonohonoho series a me parallel i nā ʻano hana like ʻole i ke ola o kēlā me kēia lā a me ka ʻoihana:
a. Nā Uila Mea kūʻai aku
I nā mea uila e like me nā televise, nā kamepiula, a me nā kelepona paʻalima, hoʻohana ʻia nā resistors e hoʻoponopono i ke kahe uila a me ke au e komo ana i nā ʻāpana like ʻole.
b. Nā kukui a me ke kukui uila
Hoʻopili pinepine ʻia nā kukui i loko o kahi hale ma ke ʻano like i mea e hōʻoia ai inā pio kekahi kukui, e hoʻā ʻia nā mea ʻē aʻe.
c. ʻŌnaehana Uila Kaʻa
I loko o nā kaʻa, hoʻohana ʻia nā resistors i nā kaapuni like ʻole e kaohi i nā hana e like me ke kukui ʻana, ka hoʻomehana ʻana, a me nā ʻōnaehana leo.
6. Nā Manaʻo kōkua a me nā hana hoʻopunipuni i ka helu ʻana i nā mea kū'ē i nā moʻo a me nā mea kū'ē i nā ʻano like ʻole
– Ke Hoʻomaopopo nei i nā Kumumanaʻo Kumu: E hoʻomaopopo i nā manaʻo kumu o nā kaapuni moʻo a me nā kaapuni like. Loaʻa i kahi kaapuni moʻo ke au like ma o kēlā me kēia resistor, ʻoiai ʻo kahi kaapuni like he voltage like ma kēlā me kēia resistor.
– E hoʻohana i nā kiʻikuhi: Hiki i ke kaha kiʻi ʻana i nā kiʻikuhi kaapuni ke kōkua i ka ʻike maka ʻana a me nā helu ʻana.
– ʻAnuʻu Hana: No nā kaapuni hui pū ʻia, e hana i nā helu ʻana ma nā ʻanuʻu, e hoʻomaka ana mai nā ʻāpana maʻalahi.
– Hōʻoia: Ma hope o ka hana ʻana i nā helu ʻana, e hōʻoia i nā hopena me nā manaʻo kumu e hōʻoia i ka pololei.
Ka hopena
ʻO ka hoʻomaopopo ʻana i nā ʻano hana a me nā manaʻo o nā resistors series a me parallel he mea nui ia i ka nānā ʻana i nā kaapuni uila. Ma ka hoʻohana ʻana i kēia mau loina, hiki iā mākou ke hoʻolālā a kālailai i nā kaapuni paʻakikī, nona nā ʻano noi like ʻole i ke ola o kēlā me kēia lā a me ka ʻenehana. Me ke ala kūpono a me ka hoʻomaopopo piha ʻana, hiki iā mākou ke hoʻomaikaʻi i ka hoʻohana ʻana i nā resistors no nā kumu hana like ʻole.
