Nā nīnau hoʻohālike a me ke kūkākūkā ʻana o ke au uila
He manaʻo nui ka au uila i ka physics, he mea nui ia ʻaʻole wale ma ka hoʻonaʻauao kula akā i ke ola o kēlā me kēia lā, ka ʻoihana, a me ka ʻenehana hou. ʻO ka hoʻomaopopo ʻana i ke au uila e hiki ai iā mākou ke hoʻohana i nā mea uila like ʻole, hoʻomaopopo i nā ʻōnaehana mana, a kūkulu a hoʻoponopono paha i nā lako uila. E hōʻike ana kēia ʻatikala i kekahi mau pilikia hoʻohālike a me nā kūkākūkā e pili ana i ke au uila e kōkua i ka hoʻoikaika ʻana i kou ʻike i kēia kumuhana.
Ka Wehewehena o ke Au Uila
ʻO ke au uila ke kahe ʻana o ka uku uila ma o kahi alakaʻi, ma ke ʻano maʻamau o nā electrons ma o kahi alakaʻi e like me ke uea keleawe. Ana ʻia ke au uila ma nā amperes (A), ʻo ia ke anakahi kumu ma ka International System of Units (SI).
Ke Kānāwai o Ohm
ʻO kekahi o nā loina kumu i hoʻohana ʻia e wehewehe i ke au uila ʻo ia ke Kānāwai o Ohm. Ke ʻōlelo nei kēia kānāwai, "ʻO ke au ma o kahi alakaʻi ma waena o ʻelua mau kiko e pili pono ana i ka uila ma waena o nā kiko ʻelua a pili pono i ke kū'ē." ʻO ke ʻano makemakika no ke Kānāwai o Ohm penei:
\[ I = \frac{V}{R} \]
Ma hea:
– ʻO \( I \) ke au i loko o nā amperes (A),
– ʻO \( V \) ka uila ma volts (V),
– ʻO \( R \) ke kū'ē ma ohms (Ω).
Laʻana Nīnau 1: Ke helu ʻana i ke au me ka hoʻohana ʻana i ke kānāwai o Ohm
Nīnau:
Hāʻawi ʻia kahi uea me ke kū'ē o 10 ohms a me ka volta o 20 volts i hoʻopili ʻia i nā wēlau o ka uea, e helu i ke au e kahe ana ma o ka uea.
Kūkākūkā:
E hoʻohana i ke ʻano o ke kānāwai o Ohm:
\[ I = \frac{V}{R} \]
Ma hea:
– \( V = 20 \kikokikona{ V} \),
– \( R = 10 \kikokikona{ Ω} \).
\[ I = \frac{20 \text{ V}}{10 \text{ Ω}} = 2 \text{ A} \]
No laila, ʻo ke au e kahe ana ma o ke kaula he 2 amperes.
Laʻana Nīnau 2: Ke helu ʻana i ka Voltage me ka hoʻohana ʻana i ke Kānāwai o Ohm
Nīnau:
Hāʻawi kahi pila i ke au o 3 amperes ma o kahi resistor 15-ohm. He aha ka voltage i hāʻawi ʻia e ka pila?
Kūkākūkā:
E hoʻohana i ke ʻano o ke kānāwai o Ohm i hoʻololi ʻia i:
\[ V = I \times R \]
Ma hea:
– \( I = 3 \kikokikona{ A} \),
– \( R = 15 \kikokikona{ Ω} \).
\[ V = 3 \kikokikona{ A} \times 15 \kikokikona{ Ω} = 45 \kikokikona{ V} \]
No laila, ʻo ke ana uila i hāʻawi ʻia e ka pākaukau he 45 volts.
Laʻana Nīnau 3: Ke helu ʻana i ke kūʻē ʻana me ka hoʻohana ʻana i ke kānāwai o Ohm
Nīnau:
He 12 volts ka uila o kekahi kaapuni a he 4 amperes ke au. E helu i ka waiwai kū'ē o ke kaapuni.
Kūkākūkā:
E hoʻohana i ke ʻano o ke kānāwai o Ohm i hoʻololi ʻia i:
\[ R = \frac{V}{I} \]
Ma hea:
– \( V = 12 \kikokikona{ V} \),
– \( I = 4 \kikokikona{ A} \).
\[ R = \frac{12 \text{ V}}{4 \text{ A}} = 3 \text{ Ω} \]
No laila, ʻo ke kumukūʻai kū'ē i loko o ke kaapuni he 3 ohms.
Laʻana Nīnau 4: Kaapuni Moʻo
Nīnau:
Ua hoʻopili ʻia ʻelua mau resistors, me kēlā me kēia me ke kū'ē o 6 ohms a me 4 ohms, ma ke ʻano he series i kahi kumu 20-volt. E helu i ke au e kahe ana ma o ke kaapuni.
Kūkākūkā:
No nā resistors ma ke ʻano moʻo, ʻo ka huina kū'ē \( R_{\text{total}} \) ka huina o nā kū'ē pākahi:
\[ R_{\text{total}} = R_1 + R_2 = 6 \text{ Ω} + 4 \text{ Ω} = 10 \text{ Ω} \]
E hoʻohana i ke ʻano o ke kānāwai o Ohm:
\[ I = \frac{V}{R_{\text{total}}} \]
Ma hea:
– \( V = 20 \kikokikona{ V} \),
– \( R_{\ kikokikona {ka huina}} = 10 \ kikokikona { Ω} \).
\[ I = \frac{20 \text{ V}}{10 \text{ Ω}} = 2 \text{ A} \]
No laila, ʻo ke au e kahe ana ma ke kaapuni he 2 ampere.
Laʻana Nīnau 5: Kaapuni Parallel
Nīnau:
Ua hoʻopili ʻia ʻelua mau resistors, me kēlā me kēia he 8 ohms a me 4 ohms ke kū'ē, ma ke ʻano like me kahi kumu 12-volt. E helu i ka huina o ke au e kahe ana ma o ke kaapuni.
Kūkākūkā:
ʻO ka mea mua, e helu i ka huina kū'ē \( R_{\text{total}} \) o nā resistors i hoʻopili ʻia ma ke ʻano like me ka hoʻohana ʻana i ke ʻano:
\[ \frac{1}{R_{\text{total}}} = \frac{1}{R_1} + \frac{1}{R_2} \]
Ma hea:
– \( R_1 = 8 \kikokikona{ Ω} \),
– \( R_2 = 4 \kikokikona{ Ω} \).
\[ \frac{1}{R_{\text{total}}} = \frac{1}{8 \text{ Ω}} + \frac{1}{4 \text{ Ω}} = \frac{1}{8} + \frac{2}{8} = \frac{3}{8} \]
\[ R_{\text{total}} = \frac{8}{3} \approx 2.67 \text{ Ω} \]
E hoʻohana i ke ʻano o ke kānāwai o Ohm:
\[ I = \frac{V}{R_{\text{total}}} \]
Ma hea:
– \( V = 12 \kikokikona{ V} \),
– \( R_{\text{total}} \approx 2.67 \text{ Ω} \).
\[ I \approx \frac{12 \text{ V}}{2.67 \text{ Ω}} \approx 4.49 \text{ A} \]
No laila, ʻo ka huina o ke au e kahe ana ma ke kaapuni he 4.49 amperes.
Laʻana Nīnau 6: Ke hoʻohana nei i ke Kānāwai o Kirchoff
Ke Kānāwai o Kirchoff
Aia ʻelua mau kānāwai o Kirchoff i hoʻohana pinepine ʻia i ka nānā ʻana i nā kaapuni uila:
1. Ke Kānāwai o Kirchoff (KCL): ʻO ka nui o ke au e komo ana i kahi kiko ua like ia me ka nui o ke au e haʻalele ana i kēlā kiko.
2. Ke Kānāwai Uila o Kirchoff (KVL): Pono ka huina o nā uila i loko o kahi loop pani e like me ka ʻole.
Nīnau:
Hāʻawi ʻia kahi kaapuni me ʻelua mau lālā like. Loaʻa i ka lālā mua kahi resistor 3-ohm a ʻo ka lālā ʻelua he resistor 6-ohm, ua pili ʻelua i kahi kumu 18-volt. E helu i ke au e kahe ana ma kēlā me kēia lālā a me ka huina o ke au i loko o ke kaapuni.
Kūkākūkā:
E hoʻohana i ke kānāwai o Ohm no kēlā me kēia lālā:
No ka lālā mua:
\[ I_1 = \frac{V}{R_1} = \frac{18 \text{ V}}{3 \text{ Ω}} = 6 \text{ A} \]
No ka lālā ʻelua:
\[ I_2 = \frac{V}{R_2} = \frac{18 \text{ V}}{6 \text{ Ω}} = 3 \text{ A} \]
ʻO ke au holoʻokoʻa ka huina o nā au mai nā lālā ʻelua:
\[ I_{\kikokikona{huina}} = I_1 + I_2 = 6 \kikokikona{ A} + 3 \kikokikona{ A} = 9 \kikokikona{ A} \]
No laila, ʻo ke au e kahe ana ma kēlā me kēia lālā he 6 amperes a me 3 amperes, a ʻo ka huina o ke au e kahe ana ma ke kaapuni he 9 amperes.
Ma ka hoʻohana ʻana i nā laʻana a me nā wehewehe ma luna, ke lana nei ko mākou manaʻo e loaʻa iā ʻoe kahi ʻike hohonu o ke au uila. ʻO ka hoʻomaopopo ʻana i nā manaʻo e like me ke Kānāwai o Ohm, nā kaapuni moʻo a me nā kaapuni like, a me nā kānāwai o Kirchoff ke kī i ka hoʻoponopono ʻana i nā pilikia like ʻole e pili ana i ke au uila i ka physics.
