Zitsanzo za Mafunso Okhudza Kusinthasintha ndi Kusintha kwa Ma Transformers
Ma inductance ndi ma transformer ndi mfundo ziwiri zofunika kwambiri pamagetsi, makamaka pankhani ya ma AC (alternating current). Kumvetsetsa momwe amagwirira ntchito kudzathandiza pa ntchito zosiyanasiyana, kuyambira pakupanga ma electronic circuit mpaka kugwiritsa ntchito pazida zapakhomo ndi zamafakitale. M'nkhaniyi, tikambirana zitsanzo za mavuto ndi mayankho okhudzana ndi inductance ndi ma transformer.
Chiyambi cha Inductance
Kutulutsa mphamvu ndi mphamvu ya gawo lamagetsi, monga coil, kupanga mphamvu yamagetsi (electromotive force) pamene kusintha kwa mphamvu yamagetsi kumayenda kudzera mu mphamvuyo. Gawo lomwe lili ndi mphamvu yamagetsi limatchedwa inductor. Gawo la mphamvu yamagetsi ndi Henry (H).
Fomula yoyambira yokhudzana ndi inductance ndi iyi:
\[ V_L = L \frac{dI}{dt} \]
Kumene:
– \( V_L \) ndi mphamvu yamagetsi yomwe imayambitsa (volts)
– \( L \) ndiye inductance (Henry)
– \( \frac{dI}{dt} \) ndi kuchuluka kwa kusintha kwa mphamvu poyerekeza ndi nthawi (amperes pa sekondi)
Chitsanzo Funso 1: Kuwerengera Mphamvu Yoyambitsa
Funso:
Chotulutsira mpweya chokhala ndi mphamvu ya 5 H chimaperekedwa ndi mphamvu yamagetsi yomwe imasintha kuchokera pa 3 A kufika pa 6 A mumasekondi awiri. Werengani mphamvu yamagetsi yomwe imabwera chifukwa cha izi!
Yankho:
Choyamba, tifunika kudziwa kuchuluka kwa kusintha kwa mphamvu yamagetsi (\(\frac{dI}{dt}\)):
\[ I_1 = 3 \, \malemba{A}, \, I_2 = 6 \, \malemba{A}, \, \Delta t = 2 \, \malemba{masekondi} \]
\[ \frac{dI}{dt} = \frac{I_2 – I_1}{\Delta t} = \frac{6 – 3}{2} = 1.5 \, \text{A/sec} \]
Tsopano tikusintha ma values odziwika kukhala fomula yamagetsi yoyambitsidwa:
\[ V_L = L \frac{dI}{dt} = 5 \nthawi 1.5 = 7.5 \, \malemba{V} \]
Chifukwa chake, mphamvu yamagetsi yomwe imachokera ndi 7.5 V.
Chiyambi cha Transformers
Transformer ndi chipangizo chamagetsi chomwe chimagwiritsidwa ntchito kusintha ma voltage a AC kuchokera pamlingo wina kupita ku wina pogwiritsa ntchito mfundo ya induction ya electromagnetic. Transformer imakhala ndi ma coil awiri, coil yoyamba ndi coil yachiwiri, yozungulira pakati pa chitsulo.
Fomula yoyambira ya transformer yoyenera ndi iyi:
\[ \frac{V_p}{V_s} = \frac{N_p}{N_s} \]
Kumene:
– \( V_p \) ndi voteji pa coil yoyamba
– \( V_s \) ndi voteji pa coil yachiwiri
– \( N_p \) ndi chiwerengero cha ma turn mu coil yoyamba
– \( N_s \) ndi chiwerengero cha ma turn mu coil yachiwiri
Chitsanzo Funso 2: Kuwerengera Voltage Yachiwiri
Funso:
Transformer imakhala ndi ma turn 500 mu coil yoyamba ndi ma turn 100 mu coil yachiwiri. Ngati voltage yolowera ku coil yoyamba ndi 230 V, kodi voltage yotuluka ku coil yachiwiri ndi yotani?
Yankho:
Gwiritsani ntchito njira yoyenera yosinthira magetsi:
\[ \frac{V_p}{V_s} = \frac{N_p}{N_s} \]
Magawo odziwika ndi awa:
- \( V_p = 230 \, \lemba{V} \)
– \( N_p = 500 \)
– \( N_s = 100 \)
Tiyenera kupeza \( V_s \):
\[ \frac{230}{V_s} = \frac{500}{100} \]
Kuchepetsa gawo lomwe lili kumanja:
\[ \frac{230}{V_s} = 5 \]
Tsopano, thetsani \( V_s \):
\[ V_s = \frac{230}{5} = 46 \, \zolemba{V} \]
Chifukwa chake, voteji yotulutsa pa coil yachiwiri ndi 46 V.
Chitsanzo 3: Kuwerengera Chiwerengero cha Maulendo Achiwiri
Funso:
Transformer yotsika pansi imagwiritsidwa ntchito kuchepetsa magetsi kuchokera pa 240 V kufika pa 24 V. Ngati chiwerengero cha ma turn mu primary coil ndi ma turn 800, kodi pali ma turn angati mu secondary coil?
Yankho:
Gwiritsani ntchito njira yoyenera yosinthira magetsi:
\[ \frac{V_p}{V_s} = \frac{N_p}{N_s} \]
Magawo odziwika ndi awa:
- \( V_p = 240 \, \lemba{V} \)
– \( V_s = 24 \, \text{V} \)
– \( N_p = 800 \)
Tifunika kupeza \( N_s \):
\[ \frac{240}{24} = \frac{800}{N_s} \]
Kuchepetsa gawo lomwe lili kumanzere:
\[ 10 = \frac{800}{N_s} \]
Konzani \( N_s \):
\[ N_s = \frac{800}{10} = 80 \]
Kotero, chiwerengero cha ma turn mu coil yachiwiri ndi ma turn 80.
Chitsanzo Funso 4: Kuwerengera Mphamvu mu Transformer Yabwino
Funso:
Transformer yoyenera imakhala ndi magetsi olowera a 120 V pa coil yoyamba yokhala ndi magetsi a 2 A ndi magetsi otuluka a 12 V pa coil yachiwiri. Werengani mphamvu yamagetsi yomwe ikuyenda mu coil yachiwiri ndi mphamvu yomwe imapangidwa mu coil yachiwiri.
Yankho:
Choyamba, timawerengera mphamvu mu coil yoyamba (\(P_p\)):
\[ P_p = V_p \nthawi I_p = 120 \, \malemba{V} \nthawi 2 \, \malemba{A} = 240 \, \malemba{W} \]
Mu transformer yoyenera, mphamvu yoyamba ndi yofanana ndi mphamvu yachiwiri:
\[ P_s = P_p = 240 \, \malemba{W} \]
Tsopano, tikuwerengera mphamvu yamagetsi mu coil yachiwiri (\(I_s\)) pogwiritsa ntchito mphamvu:
\[ P_s = V_s \times I_s \]
\[ 240 = 12 \nthawi I_s \]
Konzani za \(I_s\):
\[ I_s = \frac{240}{12} = 20 \, \text{A} \]
Kotero, mphamvu yamagetsi yomwe imayenda mu coil yachiwiri ndi 20 A, ndipo mphamvu yomwe imapangidwa mu coil yachiwiri ndi 240 W.
Maseŵero olimbitsa thupi
Pambuyo pomvetsetsa zitsanzo zina zothetsera mavuto omwe ali pamwambapa, nazi mavuto ena omwe mungakumane nawo kuti mumvetse bwino za inductance ndi transformers.
1. Choyatsira magetsi chokhala ndi mphamvu ya 10 H chimaperekedwa ndi mphamvu yamagetsi yomwe imasintha kuchokera pa 4 A kufika pa 10 A mumasekondi atatu. Werengani mphamvu yamagetsi yomwe yabwera chifukwa cha izi!
2. Transformer yokwera pamwamba imakhala ndi ma turn 200 mu coil yoyamba ndi ma turn 1000 mu coil yachiwiri. Ngati voltage yolowera ndi 120 V, kodi voltage yotuluka pa coil yachiwiri ndi yotani?
3. Chiwerengero cha ma turn mu coil yoyamba ya transformer ndi ma turn 400, ndipo chiwerengero cha ma turn mu coil yachiwiri ndi ma turn 100. Ngati voltage kudutsa coil yachiwiri ndi 15 V, kodi voltage kudutsa coil yoyamba ndi yotani?
4. Transformer yoyenera imakhala ndi magetsi olowera a 240 V pa coil yoyamba yokhala ndi magetsi a 3 A ndi magetsi otulutsa a 60 V pa coil yachiwiri. Werengani mphamvu yomwe ikuyenda mu coil yachiwiri ndi mphamvu yomwe imapangidwa mu coil yachiwiri.
Mukamaliza masewerowa, mudzapeza kumvetsetsa kwakuya kwa momwe inductance ndi transformers zimagwirira ntchito komanso momwe zimagwiritsidwira ntchito m'mikhalidwe yosiyanasiyana. Chidziwitsochi n'chofunika kwambiri osati m'maphunziro okha komanso m'mbali zosiyanasiyana zaukadaulo wa tsiku ndi tsiku komanso ntchito zaukadaulo wamagetsi.
