Ihe atụ nke Ajụjụ Mkparịta ụka Magnetic Flux
Mgbawa magnetik bụ echiche dị mkpa na fiziki, ọkachasị n'ịghọta mmekọrịta dị n'etiti ubi magnetik na ndị na-eduzi eletriki. Mgbawa magnetik na-atụ ọnụọgụgụ ubi magnetik na-agafe n'otu mpaghara enyere ma a na-egosipụta ya na nkeji Weber (Wb). N'isiokwu a, anyị ga-atụle ọtụtụ nsogbu gbasara mgbawa magnetik na ngwọta ha iji nyere aka mee ka nghọta gị banyere echiche a sikwuo ike.
1. Ịghọta Mgbanwe Magnetik
N'ihe gbasara mgbakọ na mwepụ, enwere ike ịhazi mmiri magnetik (\(\Phi\)) site na mpaghara (\(A\)) dị ka:
\[ \Phi = B \cdot A \cdot \cos(\theta) \]
Ebe:
– \(\Phi\) bụ mgbanwe magnetik dị na Weber (Wb),
– \(B\) bụ njupụta nke magnetic flux ma ọ bụ magnetic field na Tesla (T),
– \(A\) bụ mpaghara nke ebe ndọta na-agafe na mita sụkwịa (m²),
– \(\theta\) bụ akụkụ dị n'etiti ebe ndọta na mpaghara nkịtị.
Ọ bụrụ na ebe ndọta ahụ dị n'akụkụ nke ọzọ (nkuku \(\theta = 0^\circ\)), mgbe ahụ:
\[ \Phi = B \cdot A \]
Ọ bụrụ na ebe ndọta ahụ dị ka ihe dị n'akụkụ (nkuku \(\theta = 90^\circ\)), mgbe ahụ:
\[ \Phi = 0 \]
2. Ajụjụ na Mkparịta ụka Ihe Nlereanya
Ajụjụ nke 1: Mgbanwe Magnetik n'ime Okporo ụzọ nke na-adabere na Ọdụ Magnetik
Ajụjụ:
A na-etinye eriri okirikiri nwere radius nke mita 0,1 n'akụkụ ebe magnetik nke 0,5 Tesla dị. Gbakọọ mmiri magnetik site na eriri waya ahụ.
Azịza:
A maara:
– \( r = 0.1 \, \ederede{m} \)
– \( B = 0.5 \, \ederede{T} \)
– \(\theta = 0^\circ\) (n'ihi na ọ bụ perpendicular)
Mpaghara okirikiri ahụ:
\[ A = \pi r^2 = \pi (0.1)^2 = 0.01\pi \, \ederede{m}^2 \]
Ọgba ọsọ magnetik:
\[ \Phi = B \cdot A \cdot \cos(\theta) \]
\[ \Phi = 0.5 \, \text{T} \times 0.01\pi \, \text{m}^2 \times \cos(0^\circ) \]
\[ \Phi = 0.5 \ugboro 0.01\pi \ugboro 1 \]
\[ \ Phi = 0.005 \ pi \, \ ederede {Wb} \]
Ya mere, mmiri magnetik nke na-agafe na waya ahụ bụ \(0.005\pi \, \text{Weber}\) ma ọ bụ ihe dị ka 0.0157 Weber.
Ajụjụ nke 2: Mgbanwe Magnetik n'akụkụ ụfọdụ
Ajụjụ:
A na-etinye elu dị larịị nke nwere mpaghara square mita abụọ n'akụkụ ogo 60 ruo n'ọkwa magnetik otu nke 0.3 Tesla. Gbakọọ mmiri magnetik site n'elu.
Azịza:
A maara:
– \( A = 2 \, m^2 \)
– \( B = 0.3 \, T \)
– \( \theta = 60^\cir \)
Ọgba ọsọ magnetik:
\[ \Phi = B \cdot A \cdot \cos(\theta) \]
\[ \Phi = 0.3 \, \text{T} \times 2 \, \text{m}^2 \times \cos(60^\circ) \]
\[ \Phi = 0.3 \ugboro abụọ \ugboro abụọ \frac{1}{2} \]
\[ \Phi = 0.3 \, \text{Wb} \]
Ya mere, mmiri magnetik dị n'ime ụgbọelu ahụ bụ \(0.3 \, \text{Weber}\).
Ajụjụ nke 3: Mgbanwe na Mbugharị Magnetic na Ike Electromotive Induced (EMF)
Ajụjụ:
A na-etinye waya sụkwịa nwere ogologo akụkụ nke mita 0,5 n'ime otu ebe ndọta nke 0,8 Tesla. Ọ bụrụ na ebe ndọta ahụ agbanwee site na 0,8 Tesla gaa na 0 Tesla n'ime sekọnd abụọ, gbakọọ ike electromotive nke na-akpali mmegharị (EMF) nke e mepụtara na waya ahụ.
Azịza:
A maara:
– \( L = 0.5 \, m \) (ogologo akụkụ)
– \( B_1 = 0.8 \, T \)
– \( B_2 = 0 \, T \)
– \( \Delta t = 2 \, s \)
Mpaghara okirikiri square:
\[ A = L^2 = (0.5)^2 = 0.25 \, m^2 \]
Mgbanwe na mmiri ndọta (\(\Delta \Phi\)):
\[ \ Delta \ Phi = \ Phi_2 - \ Phi_1 \]
\[ \Phi_1 = B_1 \cdot A = 0.8 \, T \ugboro 0.25 \, m^2 = 0.2 \, Wb \]
\[ \Phi_2 = B_2 \cdot A = 0 \ugboro 0.25 \, m^2 = 0 \, Wb \]
\[ \ Delta \ Phi = 0 - 0.2 = -0.2 \, Wb \]
E mepụtara EMF (\(\epsilon\)):
\[ \ epsilon = – \ frac{\Delta \Phi}{\Delta t} \]
\[ \epsilon = – \frac{-0.2 \, Wb}{2 \, s} \]
\[ \epsilon = 0.1 \, V \]
Ya mere, EMF e tinyere n'ime waya ahụ bụ 0.1 Volt.
Ajụjụ nke 4: Enweghị Mgbanwe Magnetik
Ajụjụ:
A na-etinye eriri waya nwere mpaghara nke mita 0,05 square n'akụkụ ya na oghere magnetik otu nke 1,0 Tesla. Gbakọọ mmiri magnetik site na eriri waya ahụ.
Azịza:
A maara:
– \( A = 0.05 \, m^2 \)
– \( B = 1.0 \, T \)
– \(\theta = 90^\circ\) (n'ihi na ọ bụ ihe yiri ya)
Ebe ọ bụ na ebe ndọta ahụ yiri nke ahụ, mgbe ahụ:
\[ \Phi = B \cdot A \cdot \cos(\theta) \]
\[ \Phi = 1.0 \, T \ugboro 0.05 \, m^2 \ugboro \cos(90^\circ) \]
\[ \Phi = 1.0 \ugboro 0.05 \ugboro 0 \]
\[ \Phi = 0 \, Wb \]
Ya mere, mmiri magnetik site na waya ahụ bụ \(0 \, \text{Weber}\).
Mmechi
Ịghọta echiche na ngụkọ nke mmiri ndọta magnet dị oke mkpa na fiziki, ọkachasị n'ọmụmụ ihe gbasara electromagnetism. Mmiri ndọta magnet na-atụ ike nke mmiri ndọta magnet na-agafe n'otu mpaghara ma na-emetụta ya site na oke nke mmiri ndọta magnet, mpaghara nke mpaghara ahụ, na akụkụ dị n'etiti mmiri ndọta magnet na mpaghara nkịtị. Site n'ịkọwa ihe atụ ndị dị n'elu, a na-atụ anya na ị ga-enwe nghọta ka mma banyere otu esi agbakọ ma nyochaa mmiri ndọta magnet n'okpuru ọnọdụ dị iche iche. Ịga n'ihu na-eme ihe ga-enyere aka mee ka nghọta gị banyere echiche a dịkwuo omimi.
