Isibonelo Sombuzo Wengxoxo Ngocingo Oluyindilinga Oluthwala Ugesi
I-Pendahuluan
Ucingo oluhlanganisiwe oluphethe ugesi luyinto ebalulekile ekusetshenzisweni okuningi kwefiziksi kanye nobunjiniyela kagesi. Ukuqonda izimiso eziyisisekelo kanye nokubalwa kwamasimu kazibuthe akhiqizwa yile ntambo kubalulekile emikhakheni eyahlukahlukene, kusukela ekwakhiweni kwemoto kagesi kuya ezinzwa zensimu kazibuthe. Lesi sihloko sihlola izibonelo eziningana zezinkinga kanye nezixazululo zazo ukusiza abafundi baqonde izimiso eziyisisekelo zocingo oluhlanganisiwe oluphethe ugesi.
Insimu Kamagnetic Ngentambo Ehlanganisiwe
Umthetho we-Biot-Savart
Umthetho we-Biot-Savart unikeza isisekelo sokubala insimu kazibuthe ezungeze ucingo oluthwala ugesi. Ukwakheka okuyisisekelo komthetho we-Biot-Savart kungokulandelayo:
\[
d\mathbf{B} = \frac{\mu_0}{4\pi} \cdot \frac{I d\mathbf{l} \izikhathi \mathbf{\hat{r}}}{r^2}
\]
Kuphi:
– \( \mathbf{B} \) yinsimu yamagnetic
– \( \mu_0 \) ukuvuleka kwe-vacuum (\( 4\pi \times 10^{-7} \ \text{H/m} \))
– \( I \) ugesi wamanje
– \( d\mathbf{l} \) iyinto encane yocingo
– \( \mathbf{\hat{r}} \) iyi-vector yeyunithi eqondisa kusukela ku-wire element kuya endaweni yokubuka
– \( r \) ibanga eliphakathi kwento yentambo nendawo yokubuka
Intambo Ehlanganisiwe Eyodwa
Insimu yamagnetic enkabeni yeluphu yentambo eyindilinga ene-radius \( R \) kanye ne-current \( I \) ithi:
\[
B = \frac{\mu_0 I}{2R}
\]
Isibonelo Umbuzo 1
Umbuzo: Bala insimu yamagnetic enkabeni yeluphu yocingo enerediyasi engu-10 cm ephethe ugesi ongu-5 A.
Ingxoxo:
Sebenzisa ifomula yamandla kazibuthe ukuze wenze iluphu eyodwa,
\[
B = \frac{\mu_0 I}{2R}
\]
Di mana:
– \( \mu_0 = 4\pi \izikhathi 10^{-7} \ \umbhalo{H/m} \)
– \( I = 5 \ \umbhalo{A} \)
– \( R = 0.1 \ \text{m} \) (ngoba 10 cm = 0.1 m)
Ngokufaka la manani esikhundleni sawo,
\[
B = \frac{4\pi \times 10^{-7} \times 5}{2 \times 0.1}
\]
\[
B = \frac{20\pi \times 10^{-7}}{0.2}
\]
\[
B = 2\pi \izikhathi 10^{-6} \\umbhalo{T}
\]
\[
B = 6.28 \izikhathi 10^{-6} \ \umbhalo{T}
\]
Ngakho-ke, insimu yamagnetic enkabeni yeluphu yentambo ingu-\( 6.28 \ \mu T \).
Isibonelo Umbuzo 2
Umbuzo: Ikhoyili equkethe amajika angu-20 enobubanzi obuyi-10 cm ithwala ugesi ongu-5 A. Bala insimu yamagnetic enkabeni yekhoyili.
Ingxoxo:
Insimu yamagnetic yekhoyili yama-N turns yile:
\[
B = \frac{\mu_0 NI}{2R}
\]
Di mana:
– \( N = 20 \)
– \( I = 5 \ \umbhalo{A} \)
– \( R = 0.1 \ \umbhalo{m} \)
– \( \mu_0 = 4\pi \izikhathi 10^{-7} \ \umbhalo{H/m} \)
Ngokufaka la manani esikhundleni sawo,
\[
B = \frac{4\pi \times 10^{-7} \times 20 \times 5}{2 \times 0.1}
\]
\[
B = \frac{400\pi \times 10^{-7}}{0.2}
\]
\[
B = 20\pi \izikhathi 10^{-6} \\umbhalo{T}
\]
\[
B = 62.8 \izikhathi 10^{-6} \ \umbhalo{T}
\]
Ngakho-ke, insimu yamagnetic enkabeni yekhoyili ingu-\( 62.8 \ \mu T \).
Intambo Eyindilinga Ekhoneni Elithile
Uma iluphu yocingo oluthwala ugesi inqunywa nge-engeli, leyo ngxenye yeluphu izokhiqiza insimu yamagnetic ehlukile. Isibonelo, nge-semicircle, insimu yamagnetic iyingxenye yensimu yamagnetic egcwele, edinga ukuhlanganiswa okwengeziwe kwezixazululo eziyinkimbinkimbi.
Isibonelo Umbuzo 3
Umbuzo: Bala insimu yamagnetic enkabeni yentambo eyindilinga ejikeleza ingxenye yesiyingi kuphela (ama-degrees angu-180), enerediyasi engu-10 cm kanye nogesi ongu-5 A.
Ingxoxo:
Kwisiyingi esincane, insimu yamagnetic ephakathi nendawo iyingxenye yensimu yamagnetic egcwele:
\[
B = \frac{1}{2} \cdot \frac{\mu_0 I}{2R}
\]
Di mana:
– \( \mu_0 = 4\pi \izikhathi 10^{-7} \ \umbhalo{H/m} \)
– \( I = 5 \ \umbhalo{A} \)
– \( R = 0.1 \ \umbhalo{m} \)
Ngokufaka la manani esikhundleni sawo,
\[
B = \frac{1}{2} \cdot \frac{4\pi \times 10^{-7} \times 5}{2 \times 0.1}
\]
\[
B = \frac{1}{2} \times 2\pi \times 10^{-6} \ \text{T}
\]
\[
B = \pi \izikhathi 10^{-6} \ \umbhalo{T}
\]
\[
B = 3.14 \izikhathi 10^{-6} \ \umbhalo{T}
\]
Ngakho-ke, insimu yamagnetic enkabeni yentambo eyindilinga ingu-\( 3.14 \ \mu T \).
I-Penutup
Ngezibonelo ezingenhla, kunethemba lokuthi abafundi bazothola ukuqonda okungcono kokuthi bangabala kanjani insimu kazibuthe ekhiqizwa ucingo olugoqiwe oluphethe ugesi. Lokhu kuqonda kuwusizo kakhulu ezindleleni ezahlukene zobuchwepheshe kanye nocwaningo lwesayensi, ikakhulukazi emikhakheni ye-electromagnetism kanye nobunjiniyela kagesi.
