Piv txwv ntawm Cov Lus Nug Sib Tham Txog Compound Circuit
Pendahuluuan
Cov voj voog hluav taws xob yog ib qho tseem ceeb hauv kev kawm txog physics thiab electrical engineering. Cov voj voog sib xyaw, feem ntau hu ua cov voj voog sib xyaw, yog kev sib xyaw ua ke ntawm cov voj voog series thiab parallel. Kev nkag siab txog cov voj voog sib xyaw yog qhov tseem ceeb rau cov neeg uas tab tom nrhiav haujlwm hauv kev tsim hluav taws xob thiab electronics. Tsab xov xwm no yuav npog cov ntsiab lus yooj yim ntawm cov voj voog sib xyaw, muab cov piv txwv, thiab muab kev sib tham los pab koj nkag siab cov ntaub ntawv tob dua.
Cov Ntsiab Lus Tseem Ceeb ntawm Compound Circuits
Ib lub voj voog hluav taws xob muaj ntau yam khoom tseem ceeb xws li kev tiv taus (R), kev cuam tshuam (Inductance) (L), thiab kev muaj peev xwm (C). Ib lub voj voog sib xyaw yog kev sib xyaw ua ke ntawm ob lossis ntau lub voj voog uas tuaj yeem muaj ntau hom sib txawv, ua ke lossis sib luag.
Circuit Court
Hauv ib lub voj voog sib txuas ua ke, cov khoom siv hluav taws xob raug txuas rau hauv ib txoj kev nrog tsuas yog ib txoj kev xaiv ntws tam sim no. Tam sim no hla txhua lub khoom yog tib yam, tab sis qhov hluav taws xob raug sib koom ntawm cov khoom.
Circuit Court sib luag
Hauv ib lub voj voog sib luag, cov khoom sib txuas ua ke kom txhua lub khoom muaj nws ceg rau kev ntws tam sim no. Lub zog hluav taws xob hla txhua lub khoom yog tib yam, tab sis tam sim no raug faib rau cov khoom.
Cov koob sib xyaw
Cov voj voog sib xyaw ua ke ob lub tswv yim no los ntawm kev sib xyaw cov khoom hauv cov qauv sib txuas thiab sib luag. Kev nkag siab txog kev ua haujlwm ntawm cov voj voog sib xyaw yuav tsum muaj kev paub txog cov cai hluav taws xob yooj yim xws li Ohm's Law thiab Kirchhoff's Law.
Cov Lus Nug Piv Txwv thiab Kev Sib Tham
Lo lus nug 1: Lub voj voog yooj yim
Hauv ib lub voj voog yooj yim, muaj peb lub resistors: R1 = 2Ω, R2 = 4Ω, thiab R3 = 6Ω. Cov resistors R1 thiab R2 txuas ua ke thiab tom qab ntawd ob qho tib si txuas ua ke nrog R3. Yog tias tag nrho cov hluav taws xob siv rau lub voj voog yog 12V, xam:
1. Tag nrho cov kev tiv thaiv
2. Tag nrho tam sim no
3. Qhov hluav taws xob ntawm txhua lub resistor
Kev Sib Tham:
1. Tag Nrho Kev Tiv Thaiv (R_total):
- Ua ntej, xam qhov sib xyaw ua ke ntawm R1 thiab R2 txuas nrog ua ke.
\[
R_{ser} = R1 + R2 = 2Ω + 4Ω = 6Ω
\]
- Tom qab ntawd, xam qhov ua ke ntawm R_ser thiab R3 txuas ua ke.
\[
\frac{1}{R_{total}} = \frac{1}{R_{ser}} + \frac{1}{R3} = \frac{1}{6Ω} + \frac{1}{6Ω} = \frac{1+1}{6Ω} = \frac{2}{6Ω} = \frac{1}{3Ω}
\]
\[
R_{tag nrho} = 3Ω
\]
2. Tag Nrho Tam Sim No (I_total):
Siv Ohm Txoj Cai (\(V = IR\)):
\[
Kuv_{total} = \frac{V}{R_{total}} = \frac{12V}{3Ω} = 4A
\]
3. Lub zog hluav taws xob ntawm txhua tus Resistor:
- Lub zog hluav taws xob ntawm R1 thiab R2 (series) yuav raug faib raws li lawv cov nqi tsis kam:
\[
V_{R_{ser}} = Kuv_{total} \times R_{ser} = 4A \times 6Ω = 24V
\]
- Txawm li cas los xij, vim tias lub voj voog no kuj muaj kev tiv thaiv tag nrho, nws yog qhov tsim nyog los xyuas ob zaug seb nws puas yog.
- Tag nrho cov hluav taws xob ntawm 12V yuav raug faib ua ke ntawm (R1 + R2) thiab R3.
\[
V_{R3} = Kuv_{tag nrho} \times R3 = 4A \times 6Ω = 24V
\]
- Qhov yuam kev saum toj no tuaj yeem tshuaj xyuas tau, uas yog txoj kev no yuav tsom mus rau kev piav qhia txog cov xwm txheej voltage sib luag uas xav tau cov nqi zoo sib xws.
Piv txwv teeb meem 2: Cov voj voog nyuaj
Hauv ib lub voj voog nyuaj, muaj tsib lub resistors: R1 = 2Ω, R2 = 3Ω, R3 = 5Ω, R4 = 10Ω, thiab R5 = 2Ω. R1 thiab R2 txuas ua ke, tom qab ntawd ua ke nrog R3. Cov resistors no ces txuas ua ke nrog R4 thiab R5. Yog tias tag nrho cov voltage yog 24V, txiav txim siab:
1. Tag nrho cov kev tiv thaiv
2. Tag nrho tam sim no
3. Qhov hluav taws xob ntawm txhua lub resistor
Kev Sib Tham:
1. Tag Nrho Kev Tiv Thaiv (R_total):
- Kev sib xyaw ua ke ntawm R1 thiab R2 (series):
\[
R_{12} = R1 + R2 = 2Ω + 3Ω = 5Ω
\]
- Kev sib txuas sib txuas nrog R3:
\[
\frac{1}{R_{123}} = \frac{1}{R_{12}} + \frac{1}{R3} = \frac{1}{5Ω} + \frac{1}{5Ω} = \frac{2}{5Ω} = \frac{1}{2.5Ω}
\]
\[
R_{123} = 2.5Ω
\]
- Kev sib xyaw ua ke ntawm R4 thiab R5:
\[
\frac{1}{R_{45}} = \frac{1}{R4} + \frac{1}{R5} = \frac{1}{10Ω} + \frac{1}{2Ω} = \frac{1+5}{10Ω}= \frac{6}{10Ω}= \frac{3}{5Ω}
\]
\[
R_{45} = \frac{5}{3Ω} = 1.67Ω
\]
- Tag nrho kev sib xyaw ua ke nrog cov lus xaus los ntawm R123 thiab R45 hierarchies:
\[
R_{12345} = R_{123} + R_{45} = 2.5Ω + 1.67Ω = 4.17Ω
\]
2. Tag Nrho Tam Sim No:
\[
Kuv_{total} = \frac{V_{total}}{R_{total}} = \frac{24V}{4.17Ω} = 5.76A
\]
3. Lub zog hluav taws xob ntawm txhua tus Resistor:
- Rau thawj qhov sib luag thiab ua raws li qhov yooj yim:
\[
V_{123} = I_{tag nrho} \times R_{123} = 5.76A \times 2.5Ω = 14.4V
\]
\[
V_{45} = I_{tag nrho} \times R_{45} = 5.76A \times 1.67Ω = 9.6V
\]
- Kev tshuaj xyuas cov khoom sib txawv ntawm txoj kev sib tw nrog rau kev faib tawm ntawm cov nqi tam sim no los ntawm kev tiv thaiv tag nrho ua qhov kev sim ntawm cov nqi semper.
Xaus
Kev nkag siab txog cov voj voog sib xyaw yuav tsum nkag siab txog cov ntsiab lus tseem ceeb xws li cov voj voog sib txuas thiab cov voj voog sib luag, nrog rau cov cai hauv paus ntawm hluav taws xob. Kev paub txog cov txheej txheem daws teeb meem zoo li no yuav ua rau koj nkag siab tob txog cov voj voog sib xyaw, uas yog qhov tseem ceeb heev hauv ntiaj teb ntawm kev tsim hluav taws xob thiab electronics. Yog li ntawd, kev xyaum ua tas li thiab kev sib tham kom ntxaws yuav muaj txiaj ntsig zoo rau kev paub txog cov ntaub ntawv no.
