Mienzaniso yeMibvunzo Inotaura Nezve Inductance neTransformers
Inductance nematransformer zvinhu zviviri zvakakosha mumagetsi, kunyanya kana tichitarisa ma AC (alternating current) circuits. Kunzwisisa mashandiro azvo kuchabatsira mumhando dzakasiyana dzemashandisirwo, kubva pakugadzira ma electronic circuit kusvika kumashandisirwo mumidziyo yemumba neyemaindasitiri. Muchinyorwa chino, tichakurukura mienzaniso yematambudziko nemhinduro dzine chekuita ne inductance nematransformer.
Nhanganyaya yeInductance
Kupinza magetsi (inductance) kugona kwechikamu chemagetsi, senge coil, kugadzira induced EMF (electromotive force) kana shanduko yemagetsi ikapfuura nepakati payo. Chikamu chine inductance chinonzi inductor. Chikamu cheinductance ndiHenry (H).
Nzira huru ine chekuita ne inductance ndeiyi:
\[ V_L = L \frac{dI}{dt} \]
di mana:
– \( V_L \) ndiyo voltage inokonzerwa (volts) inokonzereswa
– \( L \) ndiyo inductance (Henry)
– \( \frac{dI}{dt} \) inhamba yekuchinja kwemagetsi maererano nenguva (amperes pasekondi)
Muenzaniso Mubvunzo 1: Kuverenga Induced Voltage
Mubvunzo:
Inductor ine inductance ye5 H inopihwa magetsi anoshanduka kubva pa3 A kuenda ku6 A mumasekonzi maviri. Verenga voltage inokonzereswa inobuda!
Mhinduro:
Chekutanga, tinofanira kuona mwero wekuchinja kwe current (\(\frac{dI}{dt}\)):
\[ I_1 = 3 \, \chinyorwa{A}, \, I_2 = 6 \, \chinyorwa{A}, \, \Delta t = 2 \, \chinyorwa{masekondi} \]
\[ \frac{dI}{dt} = \frac{I_2 – I_1}{\Delta t} = \frac{6 – 3}{2} = 1.5 \, \text{A/sec} \]
Iye zvino tinotsiva mavalue anozivikanwa mufomura yemagetsi inokonzerwa:
\[ V_L = L \frac{dI}{dt} = 5 \kawa 1.5 = 7.5 \, \text{V} \]
Saka, voltage inokonzereswa inoguma ndeye 7.5 V.
Nhanganyaya kuTransformers
Transformer mudziyo wemagetsi unoshandiswa kushandura mazinga emagetsi eAC kubva padanho rimwe kuenda kune rimwe uchishandisa musimboti we electromagnetic induction. Transformer ine ma coil maviri, primary coil ne secondary coil, akatenderedzwa nesimbi.
Nzira yekutanga yekushandura transformer yakakodzera ndeiyi:
\[ \frac{V_p}{V_s} = \frac{N_p}{N_s} \]
di mana:
– \( V_p \) ndiyo voltage iri pa coil yekutanga
– \( V_s \) ndiyo voltage iri pa coil yechipiri
– \( N_p \) ndiyo nhamba yekutenderera mu primary coil
– \( N_s \) ndiyo nhamba yekutenderera mu coil yechipiri
Muenzaniso Mubvunzo 2: Kuverenga Voltage Yechipiri
Mubvunzo:
Transformer ine maturns mazana mashanu mu primary coil uye maturns zana mu secondary coil. Kana input voltage ku primary coil iri 230 V, output voltage ku secondary coil chii?
Mhinduro:
Shandisa fomura yetransformer yakakodzera:
\[ \frac{V_p}{V_s} = \frac{N_p}{N_s} \]
Maparamita anozivikanwa ndeaya:
- \( V_p = 230 \, \zvinyorwa{V} \)
– \( N_p = 500 \)
– \( N_s = 100 \)
Tinofanira kuwana \( V_s \):
\[ \frac{230}{V_s} = \frac{500}{100} \]
Kurerutsa chikamu chiri kurudyi:
\[ \frac{230}{V_s} = 5 \]
Zvino, gadzirisa \( V_s \):
\[ V_s = \frac{230}{5} = 46 \, \zvinyorwa{V} \]
Saka, voltage yekubuda pane coil yechipiri ndeye 46 V.
Muenzaniso 3: Kuverenga Nhamba YemaReturns Echipiri
Mubvunzo:
Transformer inodzika pasi inoshandiswa kuderedza voltage kubva pa240 V kusvika pa24 V. Kana huwandu hwematurns mu primary coil huri maturns mazana masere, maturns mangani ari musecondary coil?
Mhinduro:
Shandisa fomura yetransformer yakakodzera:
\[ \frac{V_p}{V_s} = \frac{N_p}{N_s} \]
Maparamita anozivikanwa ndeaya:
- \( V_p = 240 \, \zvinyorwa{V} \)
– \( V_s = 24 \, \text{V} \)
– \( N_p = 800 \)
Tinofanira kuwana \( N_s \):
\[ \frac{240}{24} = \frac{800}{N_s} \]
Kurerutsa chikamu chiri kuruboshwe:
\[ 10 = \frac{800}{N_s} \]
Gadzirisa \( N_s \):
\[ N_s = \frac{800}{10} = 80 \]
Saka, huwandu hwekutenderera mu coil yechipiri i80 turns.
Muenzaniso Mubvunzo 4: Kuverenga Simba muTransformer Yakakodzera
Mubvunzo:
Transformer yakakodzera ine voltage yekupinda ye120 V pa coil yekutanga ine current ye2 A uye voltage yekubuda ye12 V pa coil yechipiri. Verenga current inoyerera mu coil yechipiri nesimba rinogadzirwa mu coil yechipiri.
Mhinduro:
Kutanga, tinoverenga simba riri mu primary coil (\(P_p\)):
\[ P_p = V_p \nguva I_p = 120 \, \chinyorwa{V} \nguva 2 \, \chinyorwa{A} = 240 \, \chinyorwa{W} \]
Mu transformer yakakodzera, simba rekutanga rakaenzana nesimba rechipiri:
\[ P_s = P_p = 240 \, \text{W} \]
Iye zvino, tinoverenga magetsi ari mu coil yechipiri (\(I_s\)) tichishandisa simba:
\[ P_s = V_s \nguva I_s \]
\[ 240 = 12 \kawa 1_s \]
Gadzirisa \(I_s\):
\[ I_s = \frac{240}{12} = 20 \, \text{A} \]
Saka, simba rinoyerera mu coil yechipiri i20 A, uye simba rinogadzirwa mu coil yechipiri i240 W.
Kurovedza muviri
Mushure mekunzwisisa mimwe mienzaniso yekugadzirisa matambudziko ari pamusoro apa, heano mamwe matambudziko ekudzidzira anogona kuitwa kuti unzwisise zvakadzama nezve inductance nema transformers.
1. Inductor ine inductance ye10 H inopihwa magetsi anoshanduka kubva pa4 A kuenda ku10 A mumasekonzi matatu. Verenga voltage inokonzereswa inobuda!
2. Transformer inokwira netsoka ine maturns mazana maviri mu primary coil uye maturns chiuru mu secondary coil. Kana input voltage iri 120 V, output voltage chii pa secondary coil?
3. Huwandu hwekutenderera mu coil yekutanga ye transformer i400 turns, uye huwandu hwekutenderera mu coil yechipiri i100 turns. Kana voltage iri pamusoro pe coil yechipiri iri 15 V, voltage iri pamusoro pe coil yekutanga ingani?
4. Transformer yakakodzera ine voltage yekupinda ye240 V pa coil yekutanga ine current ye3 A uye voltage yekubuda ye60 V pa coil yechipiri. Verenga current inoyerera mu coil yechipiri nesimba rinogadzirwa mu coil yechipiri.
Nekupedza zviitwa izvi, uchawana kunzwisisa kwakadzama kwekuti inductance nematransformer zvinoshanda sei uye mashandisirwo azvo mumamiriro akasiyana-siyana anoshanda. Ruzivo urwu rwakakosha kwete chete muzvidzidzo asiwo mune zvakasiyana-siyana zvehunyanzvi muhupenyu hwezuva nezuva uye basa rehunyanzvi muinjiniya yemagetsi.
