Muenzaniso weMubvunzo weKukurukurirana paWaya Yakatenderera Inotakura Mhepo yeMagetsi
Pendauluan
Waya yakamonerwa inotakura magetsi emagetsi chinhu chakakosha mukushandiswa kwakawanda mufizikisi neinjiniya yemagetsi. Kunzwisisa misimboti yekutanga uye kuverenga kweminda yemagineti inogadzirwa newaya iyi kwakakosha muminda yakasiyana-siyana, kubva pakugadzira mota yemagetsi kusvika kumasensa emagetsi. Chinyorwa chino chinoongorora mienzaniso yakati wandei yezvinetso nemhinduro dzazvo kubatsira vaverengi kunzwisisa misimboti yekutanga yewaya yakamonerwa inotakura magetsi emagetsi.
Munda weMagineti neWaya Yakamoneredzwa
Mutemo weBiot-Savart
Mutemo weBiot-Savart ndiwo unopa hwaro hwekuverenga simba remagineti rakatenderedza waya inotakura magetsi. Kuumbwa kwekutanga kwemutemo weBiot-Savart ndekwekuti:
\[
d\mathbf{B} = \frac{\mu_0}{4\pi} \cdot \frac{I d\mathbf{l} \nguva \mathbf{\hat{r}}}{r^2}
\]
di mana:
– \( \mathbf{B} \) ndiyo simba remagineti
– \( \mu_0 \) ndiyo nzira yekubvumidza vacuum (\( 4\pi \times 10^{-7} \ \text{H/m} \))
– \(I \) ndiyo magetsi emagetsi
– \( d\mathbf{l} \) chinhu chidiki chewaya
– \( \mathbf{\hat{r}} \) iyuniti vhekita iri munzira kubva pachinhu chewaya kuenda kunzvimbo yekucherechedza
– \( r \) ndiyo daro riri pakati pechinhu chewaya nenzvimbo yekucherechedza
Wire Yakamonererwa Imwe Chete
Simba remagineti riri pakati pedenderedzwa rewaya rine radius \( R \) uye current \( I \) ndiro:
\[
B = \frac{\mu_0 I}{2R}
\]
Muenzaniso Mubvunzo 1
Mubvunzo: Verenga simba remagineti riri pakati pechitenderedzo chewaya chine radius ye10 cm chakatakura current ye5 A.
Kukurukurirana:
Shandisa fomura yemagnetic field pakuita loop imwe chete,
\[
B = \frac{\mu_0 I}{2R}
\]
Di mana:
– \( \mu_0 = 4\pi \kawa 10^{-7} \ \text{H/m} \)
– \( I = 5 \ \chinyorwa{A} \)
– \( R = 0.1 \ \text{m} \) (nekuti 10 cm = 0.1 m)
Nekutsiva tsika idzi,
\[
B = \frac{4\pi \times 10^{-7} \times 5}{2 \times 0.1}
\]
\[
B = \frac{20\pi \times 10^{-7}}{0.2}
\]
\[
B = 2\pi \kawa 10^{-6} \ \text{T}
\]
\[
B = 6.28 \kawa 10^{-6} \ \mashoko{T}
\]
Saka, simba remagineti riri pakati petambo yewaya ndiro \( 6.28 \ \mu T \).
Muenzaniso Mubvunzo 2
Mubvunzo: Koiri ine matenderere makumi maviri ine radius ye10 cm inotakura current ye5 A. Verenga simba remagineti riri pakati pekoiri.
Kukurukurirana:
Simba remagineti re coil yeN turns nderinotevera:
\[
B = \frac{\mu_0 NI}{2R}
\]
Di mana:
– \( N = 20 \)
– \( I = 5 \ \chinyorwa{A} \)
– \( R = 0.1 \ \mashoko{m} \)
– \( \mu_0 = 4\pi \kawa 10^{-7} \ \text{H/m} \)
Nekutsiva tsika idzi,
\[
B = \frac{4\pi \times 10^{-7} \times 20 \times 5}{2 \times 0.1}
\]
\[
B = \frac{400\pi \times 10^{-7}}{0.2}
\]
\[
B = 20\pi \kawa 10^{-6} \ \text{T}
\]
\[
B = 62.8 \kawa 10^{-6} \ \mashoko{T}
\]
Saka, simba remagineti riri pakati pe coil ndiro \( 62.8 \ \mu T \).
Waya Yakatenderera Pakona Yakati
Kana tambo yemagetsi inotakura magetsi ikachekwa nekona, chikamu ichocho chetambo chichagadzira imwe simba remagineti. Semuenzaniso, kune semicircle, simba remagineti ihafu yesimba remagineti rakazara, zvichireva kuti zvinoda kubatanidzwa kwakawedzerwa kwemhinduro dzakaoma.
Muenzaniso Mubvunzo 3
Mubvunzo: Verenga simba remagineti riri pakati pewaya yakatenderera inongotenderera hafu yedenderedzwa (180 degrees), ine radius ye10 cm uye current ye5 A.
Kukurukurirana:
Kana iri hafu yedenderedzwa, simba remagineti riri pakati rinoita hafu yesimba remagineti rakazara:
\[
B = \frac{1}{2} \cdot \frac{\mu_0 I}{2R}
\]
Di mana:
– \( \mu_0 = 4\pi \kawa 10^{-7} \ \text{H/m} \)
– \( I = 5 \ \chinyorwa{A} \)
– \( R = 0.1 \ \mashoko{m} \)
Nekutsiva tsika idzi,
\[
B = \frac{1}{2} \cdot \frac{4\pi \times 10^{-7} \times 5}{2 \times 0.1}
\]
\[
B = \frac{1}{2} \times 2\pi \times 10^{-6} \ \text{T}
\]
\[
B = \pi \nguva 10^{-6} \ \chinyorwa{T}
\]
\[
B = 3.14 \kawa 10^{-6} \ \mashoko{T}
\]
Saka, simba remagineti riri pakati pewaya ye semicircular ndiro \( 3.14 \ \mu T \).
Penutup
Kuburikidza nemienzaniso iri pamusoro apa, zvinotarisirwa kuti vaverengi vachanzwisisa zviri nani maverengerwo esimba remagineti rinogadzirwa newaya yakakoshwa inotakura magetsi. Kunzwisisa uku kunobatsira zvikuru mukushandiswa kwakasiyana-siyana kwetekinoroji uye kutsvagurudza kwesainzi, kunyanya muminda yemagetsi neinjiniya yemagetsi.
