Muenzaniso weMibvunzo yeKukurukurirana kweInductance
Kupinza simba (inductance) ipfungwa huru mumagetsi nemagetsi. Inoyera kugona kwedunhu kugadzira simba remagetsi (EMF) zvichienderana nekuchinja kwemagetsi. Muchinyorwa chino, tichakurukura mienzaniso yakati wandei nehurukuro dzakadzama kuti tinzwisise zviri nani pfungwa yekupinda simba (inductance).
Nhanganyaya yeInductance
Tisati takurukura mienzaniso, ngationgororei kuti inductance chii. Inductance inopiwa chiratidzo \(L\) uye inoyerwa muna Henrys (H). Inductance inogona kuitika mumhando mbiri huru: self-inductance uye mutual inductance.
– Kuzvipinza: Kuzvipinza kwega ndiko kupinza kwesimba kunogadzirwa necoil pachayo kana shanduko yemagetsi ikaitika. Izvi zvinopihwa ne equation:
\[ V_L = L \frac{dI}{dt} \]
apo \( V_L \) iri voltage inokonzereswa, \( L \) iri inductance, uye \( \frac{dI}{dt} \) iri chiyero chekuchinja kwemagetsi.
– Kupindirana kwemagetsi: Kupindirana kwemagetsi kunoitika kana ma coil maviri achikanganisa kupindirana kwemagetsi. Equation yacho ndeiyi:
\[ V_{L1} = M \frac{dI_2}{dt} \]
dhani
\[ V_{L2} = M \frac{dI_1}{dt} \]
apo \( M \) iri iyo inductance inopindirana pakati pemakoiri maviri.
Mibvunzo yemuenzaniso weInductance
Kuti tinzwisise zviri nani inductance, ngatitarisei mimwe mienzaniso yezvinetso.
Muenzaniso Mubvunzo 1: Kuzvibata Kwega
Coil ine matenderere mazana maviri uye simba remagetsi rinosiyana kubva pa0 kusvika pa5 A mumasekonzi maviri. Kana simba remagetsi riri 5 Weber, verengai inductance yecoil.
Kukurukurirana:
Kupinda kwemagetsi \(L\) kunogona kuverengerwa uchishandisa hukama huripo pakati pemagineti flux (\( \Phi \)), nhamba yekutenderera (\(N\)), uye current (\(I\)).
\[ \Phi = L \nguva I \]
Zvinozivikanwa,
\( N = 200 \)
\( Ini = 5 \) A
\( \Phi = 5 \) Weber
Saka,
\[ L = \frac{\Phi}{I} \]
\[ L = \frac{5}{5} \]
\[ L = 1 \chinyorwa{ Henry} \]
Coil ine inductance ye1 Henry.
Muenzaniso Mubvunzo 2: Simba muInductance
Solenoid ine inductance ye3 H inopihwa magetsi e2 A. Verenga simba rakachengetwa musolenoid.
Kukurukurirana:
Simba rinochengetwa mu inductor rinopiwa ne equation:
\[ W = \frac{1}{2} LI^2 \]
Zvinozivikanwa,
\( L = 3 \) H
\( Ini = 2 \) A
Saka,
\[ W = \frac{1}{2} \kawa 3 \kawa 2^2 \]
\[ W = \frac{1}{2} \kawa 3 \kawa 4 \]
\[ W = \frac{1}{2} \kawa 12 \]
\[ W = 6 \chinyorwa{ Joules} \]
Saka, simba rinochengetwa mu solenoid i6 Joules.
Muenzaniso 3: Kupindirana Kwemutengo
Makoiri maviri, A naB, ane inductance inopindirana ye0,5 H. Kana magetsi ari mukoiri A akachinja zvichienderana ne equation \( I_{A}(t) = 3t \), verenga simba remagetsi riri mukoiri B pa \(t = 4 \) s.
Kukurukurirana:
Simba remagetsi (EMF) riri mu coil B rinogona kuverengwa ne:
\[ V_{L_B} = M \frac{dI_A}{dt} \]
Zvinozivikanwa,
\( M = 0,5 \) H
\( Ini_{A}(t) = 3t \)
Mwero wekuchinja kwe current \( \frac{dI_A}{dt} \) inguva isingachinji, kureva 3 A/s.
Saka,
\[ V_{L_B} = 0,5 \kawa 3 \]
\[ V_{L_B} = 1,5 \chinyorwa{ V} \]
Saka, simba remagetsi riri mu coil B pa \(t = 4 \) s i1,5 Volts.
Muenzaniso Dambudziko rechina: RL Series Circuit
Funga nezve series RL circuit ine resistor ine resistance ye5 ohms uye inductor ine inductance ye2 H. Kana voltage iri 10 V DC uye switch yakavharwa pa \(t = 0 \), verenga current mucircuit pa \(t = 1 \) seconds.
Kukurukurirana:
Kana switch yavharwa, simba remagetsi muRL circuit rinowedzera zvichienderana ne equation:
\[ I(t) = \frac{V}{R} \left( 1 – e^{-\frac{R}{L}t} \right) \]
Zvinozivikanwa,
\( V = 10 \) V
\( R = 5 \) ohm
\( L = 2 \) H
Saka,
\[ I(t) = \frac{10}{5} \left( 1 – e^{-\frac{5}{2} \times t} \right) \]
\[ I(t) = 2 \kuruboshwe( 1 – e^{-2.5 \nguva t} \kurudyi) \]
Pamasekonzi \(t = 1 \),
\[ I(1) = 2 \kuruboshwe( 1 – e^{-2.5 \kawa 1} \kurudyi) \]
\[ I(1) = 2 \kuruboshwe( 1 – e^{-2.5} \kurudyi) \]
\[ I(1) \anenge 2 \kuruboshwe( 1 – 0.0821 \kurudyi) \]
\[ I(1) \inenge 2 \kawa 0.9179 \]
\[ I(1) \inenge 1.8358 \chinyorwa{ A} \]
Mwero wemagetsi uri mudunhu pa \(t = 1 \) sekondi ungangoita 1.8358 A.
Mhedziso
Kupinza simba (inductance) ipfungwa huru mufizikisi inotsanangura kuti magetsi anochinja anogona sei kugadzira voltage mumunda wemagineti. Nemienzaniso yatakurukura, tinogona kuona kuti kupinza simba (inductance) kunoshandiswa sei mumamiriro ezvinhu akawanda anoshanda, kubva kuma coils akareruka kusvika kuma RL circuits akaomarara. Kunzwisisa kupinza simba (inductance) kwakakosha kwete chete kuvadzidzi nemainjiniya, asiwo kune chero ani zvake anofarira zvemagetsi ne electromagnetism. Nekudzidzira kwakakwana, kunzwisisa kwako kupinza simba (inductance) uye mashandisirwo aro kunogona kuwedzera kudzika uye kunzwisisa.
