Imibuzo Eyisibonelo Exoxa Ngezinkundla Zama-Magnetic Ezibangelwa Yizinto Ezimbi
Amasimu kazibuthe abangelwa yizinto ezibaluleke kakhulu ku-physics, ikakhulukazi kumongo we-electromagnetism. Lesi simo senzeka lapho insimu kazibuthe eshintshayo ikhiqiza amandla kagesi (i-EMF) noma i-voltage kumqhubi. Lesi sihloko sizobuyekeza izibonelo eziningana zezinkinga futhi sinikeze ingxoxo eningiliziwe ngamasimu kazibuthe abangelwa yizinto ezi ...
Ukuqonda Amasimu Amagnetic Abangelwa Yizinto Ezithile
Ngaphambi kokuba singene enkingeni yesibonelo, kuyasiza ukuqonda kuqala umqondo oyisisekelo wamasimu kazibuthe abangelwayo. Umthetho kaFaraday wokungeniswa kwe-electromagnetic uyisisekelo salesi simo. Lo mthetho uthi ushintsho ekugelezeni kwe-magnetic kulo lonke i-conducting loop luzokhiqiza i-EMF. Ifomula yezibalo yomthetho kaFaraday yile:
\[ \mathcal{E} = -\frac{d\Phi_B}{dt} \]
Di mana:
– \( \mathcal{E} \) yi-induced electromotive force (EMF).
– \( \Phi_B \) yi-magnetic flux.
– \(t \) yisikhathi.
I-negative ku-equation engenhla ikhombisa indlela i-EMF ebangelwa ngayo ngokoMthetho kaLenz, othi i-EMF ebangelwayo ivame ukuphikisa ushintsho ekugelezeni kwamagnetic okubangela lokho.
Imibuzo Nezingxoxo Eziyisibonelo
Isibonelo 1: I-Solenoid ephethe ugesi
Umbuzo:
I-solenoid ende inamajika angu-500 futhi ingamamitha angu-0,5 ubude. Uma ugesi odlula ku-solenoid ushintsha kusuka ku-0 A uye ku-2 A ngemizuzwana engu-0,2 futhi indawo enqamulayo ye-solenoid ingu-\( 2 \times 10^{-4} \ \text{m}^2 \), bala i-emf ebangelwe ekhiqizwayo.
Ingxoxo:
Ukuze sixazulule le nkinga, sidinga ifomula ye-magnetic flux ye-solenoid kanye nomthetho kaFaraday.
I-magnetic flux \( \Phi_B \) nge-solenoid yile:
\[ \Phi_B = B \cdot A \]
Di mana:
– \( B \) yinsimu yamagnetic ku-solenoid.
– \( A \) yindawo enqamula ingxenye ye-solenoid.
Insimu yamagnetic \( B \) ku-solenoid ichazwa yi:
\[ B = \mu_0 \cdot n \cdot I \]
Di mana:
– \( \mu_0 \) ukuvuleka kwe-vacuum \( (4\pi \times 10^{-7} \ \text{T}\cdot\text{m}/\text{A}) \).
– \( n \) inani lokujika ngobude beyunithi, \( n = \frac{N}{l} \), lapho \( N \) kuyinani lokujika kanye \( l \) ubude be-solenoid.
– \( I \) ugesi odlula ku-solenoid.
Kusukela embuzweni othi:
– \( N = 500 \)
– \( l = 0,5 \ \umbhalo{m} \)
– \( A = 2 \izikhathi ezingu-10^{-4} \ \umbhalo{m}^2 \)
– \( \Delta I = 2 \ \umbhalo{A} \)
– \( \Delta t = 0,2 \ \text{s} \)
Okokuqala, bala \( n \):
\[ n = \frac{N}{l} = \frac{500}{0,5} = 1000 \ \text{turns/m} \]
Bese, bala ushintsho ensimini yamagnetic \( B \):
\[ \Delta B = \mu_0 \cdot n \cdot \Delta I = (4\pi \times 10^{-7}) \cdot 1000 \cdot 2 = 8\pi \times 10^{-4} \ \text{T} = 2,512 \times 10^{-3} \ \text{T} \]
Ushintsho ekugelezeni kwamagnetic \( \Delta \Phi_B \):
\[ \Delta \Phi_B = \Delta B \cdot A = 2,512 \times 10^{-3} \cdot 2 \times 10^{-4} = 5,024 \times 10^{-7} \ \text{Wb} \]
Manje, sebenzisa umthetho kaFaraday ukuze unqume i-EMF ebangelwayo:
\[ \mathcal{E} = -\frac{\Delta \Phi_B}{\Delta t} = -\frac{5,024 \times 10^{-7}}{0,2} = -2,512 \times 10^{-6} \ \text{V} = -2,512 \ \mu\text{V} \]
Ngakho-ke, i-EMF ebangelwayo ephumela ku-\(-2,512 \ \mu\text{V}\).
Isibonelo Inkinga 2: Isekethe Yesiyingi Ensimini Yama-Magnetic Eshintshayo
Umbuzo:
Iluphu eyindilinga enobubanzi obuyimitha engu-0,1 ibekwa ensimini yamagnetic efanayo eshintsha kusuka ku-0,5 T iye ku-0 ngomzuzwana ongu-0,1. Bala i-emf ebangelwayo kuluphu.
Ingxoxo:
Njengenkinga yangaphambilini, sizosebenzisa umthetho kaFaraday. Okokuqala, sibala ushintsho ekugelezeni kwamagnetic.
Indawo yendilinga \( A \):
\[ A = \pi r^2 = \pi (0,1)^2 = \pi \izikhathi 10^{-2} \\text{m}^2 = \pi \izikhathi 10^{-2} \cishe 3,14 \izikhathi 10^{-2} \\text{m}^2 \]
Ushintsho ekugelezeni kwamagnetic \( \Delta \Phi_B \):
\[ \Delta \Phi_B = \Delta B \cdot A = (0 – 0,5) \cdot 3,14 \times 10^{-2} = -0,5 \cdot 3,14 \times 10^{-2} = -1,57 \times 10^{-2} \ \text{Wb} \]
I-EMF Ebangelwayo \( \mathcal{E} \):
\[ \mathcal{E} = -\frac{\Delta \Phi_B}{\Delta t} = -\frac{-1,57 \times 10^{-2}}{0,1} = 1,57 \times 10^{-1} \ \text{V} = 0,157 \ \text{V} \]
Isibonelo 3: Idiski Ejikelezayo Ensimini Yama-Magnetic
Umbuzo:
Idiski enobubanzi obungamamitha angu-0,2 ijikeleza endizeni eqondile enejubane eliyi-angular elingu-10 rad/s ensimini yamagnetic evundlile engu-0,3 T. Bala i-EMF ebangelwayo phakathi kwesikhungo kanye nomkhawulo wediski.
Ingxoxo:
Kulesi simo, sisebenzisa umqondo wokungeniswa kwe-electromagnetic kudiski ejikelezayo, eyaziwa ngokuthi i-Faraday's induced EMF.
I-EMF ebangelwa yidiski ejikelezayo inikezwa yi:
\[ \mathcal{E} = \frac{1}{2} B \omega r^2 \]
Di mana:
– \( B \) yinsimu yamagnetic.
– \( \omega \) yijubane le-angular.
– \( r \) irediyasi yediski.
Faka amanani esikhundleni senkinga:
\[ B = 0,3 \ \umbhalo{T} \]
\[ \omega = 10 \ \umbhalo{rad/s} \]
\[r = 0,2 \ \umbhalo{m} \]
Bala i-EMF ebangelwayo:
\[ \mathcal{E} = \frac{1}{2} \cdot 0,3 \cdot 10 \cdot (0,2)^2 = \frac{1}{2} \cdot 0,3 \cdot 10 \cdot 0,04 = 0,6 \times 0,04 = 0,024 \ \text{V} \]
Ngakho-ke, i-EMF ebangelwayo phakathi kwesikhungo kanye nomphetho wediski ingu-0,024 V noma u-24 mV.
Isiphetho
Amasimu kazibuthe abangelwa yizinto ayinto ejulile edinga ukuqonda kokubili imiqondo yefiziksi eyisisekelo kanye nokusetshenziswa kwayo kwezibalo. Ngezibonelo zezinkinga ezifana nalena engenhla, singabona ukuthi imithetho efana noMthetho kaFaraday kanye noMthetho kaLenz isebenza kanjani ezimweni ezahlukene. Ukuqonda imiqondo kanye nezinkinga zokuzijwayeza kusiza ukuqinisa ukuqonda kwalokhu okubalulekile nokwandisa ukusetshenziswa kwako ezimweni ezahlukene.
