Zitsanzo za Mafunso Okhudza Magnetic Flux
Kuthamanga kwa maginito ndi lingaliro lofunika kwambiri mu fizikisi, makamaka pomvetsetsa kuyanjana pakati pa maginito ndi ma conductor amagetsi. Kuthamanga kwa maginito kumayesa kuchuluka kwa mphamvu ya maginito yomwe imadutsa m'dera linalake ndipo imafotokozedwa mu mayunitsi a Weber (Wb). M'nkhaniyi, tikambirana zitsanzo zingapo za mavuto okhudzana ndi kuthamanga kwa maginito ndi mayankho awo kuti tikuthandizeni kumvetsetsa bwino lingaliro ili.
1. Kumvetsetsa Magnetic Flux
Mwa masamu, maginito flux (\(\Phi\)) kudzera m'dera (\(A\)) akhoza kupangidwa motere:
\[ \Phi = B \cdot A \cdot \cos(\theta) \]
Kumene:
– \(\Phi\) ndi mphamvu ya maginito mu Weber (Wb),
– \(B\) ndi kuchuluka kwa maginito kapena mphamvu ya maginito mu Tesla (T),
– \(A\) ndi dera lomwe mphamvu ya maginito imadutsa mu masikweya mita (m²),
– \(\theta\) ndi ngodya pakati pa mphamvu ya maginito ndi yachibadwa kuderali.
Ngati mphamvu ya maginito ili yolunjika ku ndege (ngodya \(\theta = 0^\circ\)), ndiye kuti:
\[ \Phi = B \cdot A \]
Ngati mphamvu ya maginito ili yofanana ndi ndege (angle \(\theta = 90^\circ\)), ndiye kuti:
\[ \Phi = 0 \]
2. Mafunso ndi Kukambirana Zitsanzo
Funso 1: Kutuluka kwa Magnetic mu Ndege Yolunjika ku Magnetic Field
Funso:
Chingwe chozungulira cha waya chokhala ndi utali wa mamita 0,1 chimayikidwa molunjika ku mphamvu ya maginito yofanana ya 0,5 Tesla. Werengani kuchuluka kwa maginito kudzera mu utali wa waya.
Kukambirana:
Ndizodziwika kuti:
– \( r = 0.1 \, \malemba{m} \)
– \( B = 0.5 \, \malemba{T} \)
– \(\theta = 0^\circ\) (chifukwa chopingasa)
Malo ozungulira bwalo:
\[ A = \pi r^2 = \pi (0.1)^2 = 0.01\pi \, \zolemba{m}^2 \]
Kutuluka kwa maginito:
\[ \Phi = B \cdot A \cdot \cos(\theta) \]
\[ \Phi = 0.5 \, \text{T} \times 0.01\pi \, \text{m}^2 \times \cos(0^\circ) \]
\[ \Phi = 0.5 \nthawi 0.01\pi \nthawi 1 \]
\[ \Phi = 0.005\pi \, \zolemba{Wb} \]
Kotero, maginito otuluka mu waya ndi \(0.005\pi \, \text{Weber}\) kapena pafupifupi 0.0157 Weber.
Funso 2: Kutuluka kwa Magnetic pa Ngodya Yina
Funso:
Malo osalala okhala ndi malo okwana masikweya mita awiri amayikidwa pa ngodya ya madigiri 60 kufika pa mphamvu ya maginito yofanana ya 0.3 Tesla. Werengani kuchuluka kwa maginito kudzera pamwamba.
Kukambirana:
Ndizodziwika kuti:
– \( A = 2 \, m^2 \)
– \( B = 0.3 \, T \)
– \( \theta = 60^\circ \)
Kutuluka kwa maginito:
\[ \Phi = B \cdot A \cdot \cos(\theta) \]
\[ \Phi = 0.3 \, \text{T} \times 2 \, \text{m}^2 \times \cos(60^\circ) \]
\[ \Phi = 0.3 \nthawi 2 \nthawi \frac{1}{2} \]
\[ \Phi = 0.3 \, \malemba{Wb} \]
Kotero, maginito otuluka mu ndege ndi \(0.3 \, \text{Weber}\).
Funso 3: Kusintha kwa Magnetic Flux ndi Induced Electromotive Force (EMF)
Funso:
Waya wozungulira wokhala ndi mbali ya mamita 0,5 umayikidwa mu mphamvu ya maginito yofanana ya 0,8 Tesla. Ngati mphamvu ya maginito yasintha kuchoka pa 0,8 Tesla kufika pa 0 Tesla m'masekondi awiri, werengani mphamvu yamagetsi yoyendetsedwa ndi motional induced electromotive (EMF) yopangidwa mu wayayo.
Kukambirana:
Ndizodziwika kuti:
– \( L = 0.5 \, m \) (utali wa mbali)
– \( B_1 = 0.8 \, T \)
– \( B_2 = 0 \, T \)
– \( \Delta t = 2 \, s \)
Malo ozungulira lalikulu:
\[ A = L^2 = (0.5)^2 = 0.25 \, m^2 \]
Kusintha kwa maginito flux (\(\Delta \Phi\)):
\[ \Delta \Phi = \Phi_2 - \Phi_1 \]
\[ \Phi_1 = B_1 \cdot A = 0.8 \, T \nthawi 0.25 \, m^2 = 0.2 \, Wb \]
\[ \Phi_2 = B_2 \cdot A = 0 \nthawi 0.25 \, m^2 = 0 \, Wb \]
\[ \Delta \Phi = 0 – 0.2 = -0.2 \, Wb \]
EMF (\(\epsilon\)) yoyambitsidwa ndi:
\[ \epsilon = – \frac{\Delta \Phi}{\Delta t} \]
\[ \epsilon = – \frac{-0.2 \, Wb}{2 \, s} \]
\[ \epsilon = 0.1 \, V \]
Chifukwa chake, EMF yomwe imapangidwa mu waya ndi 0.1 Volt.
Funso 4: Kutuluka kwa Magnetic Zero
Funso:
Chingwe cha waya chokhala ndi malo okwana 0,05 sq metres chimayikidwa molingana ndi mphamvu ya maginito yofanana ya 1,0 Tesla. Werengani kuchuluka kwa maginito kudzera mu chingwe cha waya.
Kukambirana:
Ndizodziwika kuti:
– \( A = 0.05 \, m^2 \)
– \( B = 1.0 \, T \)
– \(\theta = 90^\circ\) (chifukwa chofanana)
Popeza mphamvu ya maginito imayenderana ndi ndege, ndiye kuti:
\[ \Phi = B \cdot A \cdot \cos(\theta) \]
\[ \Phi = 1.0 \, T \nthawi 0.05 \, m^2 \nthawi \cos(90^\circ) \]
\[ \Phi = 1.0 \nthawi 0.05 \nthawi 0 \]
\[ \Phi = 0 \, Wb \]
Kotero, kutuluka kwa maginito kudzera mu waya kuzungulira ndi \(0 \, \text{Weber} \).
Mapeto
Kumvetsetsa lingaliro ndi kuwerengera kwa maginito n'kofunika kwambiri mu fizikisi, makamaka pakuphunzira za maginito. Magnetic flux imayesa mphamvu ya maginito yomwe imadutsa m'dera ndipo imakhudzidwa ndi kukula kwa maginito, dera la derali, ndi ngodya pakati pa maginito ndi malo abwinobwino. Pokambirana zitsanzo zomwe zili pamwambapa, tikukhulupirira kuti mumvetsetsa bwino momwe mungawerengere ndikusanthula maginito pansi pa mikhalidwe yosiyanasiyana. Kupitiliza kuchita zinthu kudzakuthandizani kumvetsetsa bwino lingaliro ili.
