ʻO ke kānāwai mua a Kirchhoff - nā pilikia a me nā hoʻonā

1. Ma muli o ke kiʻi e like me ka mea i hōʻike ʻia ma lalo nei, inā wau₁ = 5A, ʻI₂ = 3 A, I₃ = 6 A, a laila ʻo wau₄= ………

ʻO ke kānāwai mua a Kirchhoff - nā pilikia a me nā hoʻonā 1 Lōlā:

ʻO ke kānāwai mua a Kirchhoff ʻōlelo ʻia he pono e like ka huina o nā au a pau e komo ana i ka hui ʻana me ka huina o nā au a pau e puka ana i waho o ka hui ʻana.

I₁aʻo wau₂ke komo nei i ke alahaka, ʻoiai ʻo wau₃ aʻo wau₄e haʻalele ana.

E hoʻopili i ke kānāwai mua a Kirchhoff:

I₁ + ʻO wau₂=I₃ + ʻO wau₄

5 + 3 = 6 + I₄

8 = 6 + I₄

I₄ = 8 - 6

I₄ = 2 Amperes

2. Inā wau₁ =I₃ a laila wau₄ =……..

ʻO ke kānāwai mua a Kirchhoff - nā pilikia a me nā hoʻonā 2 ʻIke ʻia:

I₁=I₃ = 2 Amperes

I₂ = 3 Amperes

I₅= 4 Amperes

Makemake: I₄

Lōlā:

I₁aʻo wau₄ke komo nei i ke alahaka, ʻoiai ʻo wau₂, I₃, a au₅e haʻalele ana.

E hoʻopili i ke kānāwai mua a Kirchhoff:

I₁ + ʻO wau₄=I₂ + ʻO wau₃+ ʻO wau₅

2 + I₄= 3 + 2 + 4

2 + I₄= 9

I₄= 9 - 2

I₄ = 7 Amperes

3. ʻO wau₁ = …….

Lōlā: ʻO ke kānāwai mua a Kirchhoff - nā pilikia a me nā hoʻonā 3

Ke komo nei au i ke kihi, ʻoiai wau₁, I₂, a au₃ e haʻalele ana.

E hoʻopili i ke kānāwai mua a Kirchhoff:

ʻO wau = ʻO wau₁ + ʻO wau₂+ ʻO wau₃

7 A = ʻI₁ + 1 A + 4 A

7 A = ʻI₁ + 5 A

7 A – 5 A = I₁

I₁= 2 Amperes

4. ʻO wau₂ = ………

Makemake: I₂

Lōlā:

I₁ke komo nei i ke kihi, ʻoiai ʻo wau_2, I_3,aʻo wau₄ e haʻalele ana.

E hoʻopili i ke kānāwai mua a Kirchhoff:

I₁ =I₂ + ʻO wau₃ + ʻO wau₄

6 = ʻAu₂ + 3 + 1

6 = ʻAu₂ + 4

I₂= 6 - 4

I₂ = 2 Amperes

5. Inā wau₂ = 1/4 ʻI₁ , a laila wau₃ = ………

ʻIke ʻia: ʻO ke kānāwai mua a Kirchhoff - nā pilikia a me nā hoʻonā 5

I₁ = 600 milliAmperes

Makemake: I₃

Lōlā:

I₂ = 1/4 ʻI₁= 1/4 (600 mA) = 150 mA

I₁ke komo nei i ke kihi, ʻoiai ʻo wau₂ aʻo wau₃ e haʻalele ana.

E hoʻopili i ke kānāwai mua a Kirchhoff:

I₁ =I₂ + ʻO wau₃

600 mA = 150 mA + I₃

I₃ = 600 mA – 150 mA

I₃ = 450 mA

6. Ma muli o ke kiʻi ma lalo nei, e ʻimi iā I!

Lōlā:

E hoʻopili i ke kānāwai mua a Kirchhoff:

3 + 5 + 2 = 7 + I ʻO ke kānāwai mua a Kirchhoff - nā pilikia a me nā hoʻonā 10

10 = 7 + I

ike no hoi Ka momentum linear - nā pilikia a me nā hoʻonā

10 – 7 = ʻAu

ʻO I = 3 Amperes

7. Ma muli o ke kiʻi ma lalo nei, inā wau₁ = 4 A, I₂ = 3 A, I₄ = 7 A, I₅ = 4 A, e hoʻoholo iā I₃.

Lōlā:

Ke komo nei ke au uila i ka hui ʻana =I₁+ ʻO wau₃= 4 A + I₃

Ke au uila e haʻalele ana i ka hui ʻana =I₂+ ʻO wau₄+ ʻO wau₅ = 3 A + 7 A + 4 A = 14 A

14 A = 4 A + I₃

I₃ = 14 A – 4 A

I₃ = 10 A

He aha ke kumumanaʻo nui ma hope o ke Kānāwai Mua a Kirchhoff?
- paneʻO ke kumumanaʻo nui ma hope o ke Kānāwai Mua a Kirchhoff ʻo ia ka mālama ʻana i ka uku uila. ʻO ia hoʻi, ʻaʻohe uku i nalowale ma kekahi kikowaena a i ʻole ka hui ʻana i loko o kahi kaapuni.
Inā ʻekolu mau au, $I_{1}$ , $I_{2}$ , a $I_{3}$ , e hui pū ma kahi kikowaena a $I_{1}$ ke komo nei ʻoiai $I_{2}$ a $I_{3}$ ke haʻalele nei, pehea e hōʻike ʻia ai ʻo KCL no kēia node?
- paneWahi a KCL, $I_{1} = I_{2} + I_{3}$ .
No ke aha he mea nui ʻo KCL i ka nānā ʻana i nā kaapuni uila?
- paneHāʻawi ʻo KCL i kahi palena kumu e pono ai i kekahi hopena kūpono i kahi pilikia kaapuni ke hoʻokō, e hōʻoia ana e pili ana ke ʻano o nā au i loko o kahi pūnaewele i ke kumumanaʻo mālama o ka uku.
Loaʻa iā KCL wale nō no nā kaapuni DC a i ʻole no nā kaapuni AC pū kekahi?
- paneHe kūpono ʻo KCL no nā kaapuni DC a me AC. He hōʻike ia o ka mālama ʻana i ka uku, he mea ākea ia, me ka nānā ʻole i ke ʻano o ka loli ʻana o nā au i ka hala ʻana o ka manawa.
I loko o kahi kaapuni me kekahi mau kikowaena, pono anei e hoʻopili iā KCL i kēlā me kēia kikowaena e kālailai piha i ke kaapuni?
- paneʻAʻole i nā manawa a pau. ʻOiai hiki iā ʻoe ke hoʻopili iā KCL i kēlā me kēia kikowaena, ʻo ka nānā pinepine ʻana i kahi ʻāpana o nā kikowaena ua lawa ia e hoʻoholo ai i ke ʻano o ke kaapuni holoʻokoʻa.
Pehea e pili ai ka manaʻo o kahi "honua" a i ʻole ke kikowaena kuhikuhi i loko o kahi kaapuni me KCL?
- paneʻO kahi kikowaena honua a kikowaena kuhikuhi paha e lawelawe ma ke ʻano he kiko kuhikuhi maʻamau no nā voltages i loko o ke kaapuni. ʻO ka hoʻopili ʻana iā KCL i kēia kikowaena, e like me nā kikowaena ʻē aʻe, e hōʻoiaʻiʻo ana he ʻole ka huina o nā au. ʻAʻole pili ka honua i ka hiki ke hoʻohana a i ʻole ka hopena o KCL.
Inā ʻelua wale nō lālā i pili i kahi kikowaena iā ia, a ua ʻike ʻia ke au ma kekahi lālā, pono anei e hoʻoponopono no ke au ma kekahi lālā me ka hoʻohana ʻana iā KCL?
- paneʻAʻole, inā ʻike ʻia ke au ma kekahi lālā a ʻelua wale nō lālā i pili i ke kikowaena, ʻo ke au ma kekahi lālā ʻo ia wale nō ka maikaʻi ʻole o ke au i ʻike ʻia (e hōʻike ana aia ia ma ke ʻaoʻao ʻē aʻe).

Pehea e pili ai ke ʻano o nā capacitors i loko o kahi kaapuni iā KCL?
- paneʻOiai hiki i nā capacitors ke mālama i ka uku, ʻo ka nui o ka uku e komo ana i kahi capacitor ua like ia me ka nui o ka uku e haʻalele ana i kāna kikowaena ʻē aʻe. No laila, ʻoiai me nā capacitors, ʻo ke au net ma kahi node (me kahi node ma kekahi kikowaena o ka capacitor) he zero, a ke kūpono nei ʻo KCL.
Ma nā kaapuni hana me nā ʻāpana maoli, paʻa pono anei ʻo KCL, a i ʻole he mau ʻokoʻa?
- paneMa ke ʻano loiloi kaapuni kūpono, paʻa pono ʻo KCL. Ma nā kūlana maoli, loaʻa paha i nā ʻāpana nā kahe leaka liʻiliʻi a i ʻole nā hopena parasitic, akā no ka hapa nui o nā kumu kūpono a me nā loiloi, ua manaʻo ʻia ʻo KCL he ʻoiaʻiʻo.
I ka manawa hea e hoʻohana ai kekahi i ke kānāwai mua (o kēia manawa) a me ke kānāwai ʻelua (o ka voltage) a Kirchhoff i ke kālailai ʻana i kahi kaapuni?

paneMa nā kaapuni paʻakikī he nui, ʻoiai nā mea me nā loop a me nā node he nui, hoʻohana pū ʻia ʻo KCL (First Rule) a me ke Kirchhoff's Voltage Law (Second Rule) e hoʻonohonoho i kahi ʻōnaehana o nā kaulike e hiki ke hoʻoponopono ʻia e hoʻoholo i nā au a me nā voltages i ʻike ʻole ʻia ma loko o ke kaapuni.