Piv txwv ntawm Cov Lus Nug Sib Tham txog Cov Hlau Voj Voog Uas Muaj Hluav Taws Xob Tam Sim No
Pendahuluuan
Ib txoj hlua khi uas nqa hluav taws xob yog ib qho tseem ceeb hauv ntau daim ntawv thov hauv physics thiab electrical engineering. Kev nkag siab txog cov ntsiab cai yooj yim thiab kev xam ntawm cov teb magnetic uas tsim los ntawm txoj hlua khi no yog qhov tseem ceeb hauv ntau yam teb, los ntawm kev tsim lub cev muaj zog hluav taws xob mus rau cov sensors magnetic field. Tsab xov xwm no tshawb nrhiav ntau qhov teeb meem piv txwv thiab lawv cov kev daws teeb meem los pab cov nyeem ntawv nkag siab txog cov ntsiab cai yooj yim ntawm txoj hlua khi uas nqa hluav taws xob.
Lub zog sib nqus los ntawm cov hlau nplaum
Txoj Cai Biot-Savart
Txoj cai Biot-Savart muab lub hauv paus rau kev xam lub zog sib nqus nyob ib puag ncig cov xov hlau uas nqa tam sim no. Cov qauv yooj yim ntawm txoj cai Biot-Savart yog raws li nram no:
\[
d\mathbf{B} = \frac{\mu_0}{4\pi} \cdot \frac{I d\mathbf{l} \times \mathbf{\hat{r}}}{r^2}
\]
Qhov twg:
– \( \mathbf{B} \) yog lub teb sib nqus
- \( \mu_0 \) yog qhov permeability ntawm lub tshuab nqus tsev (\( 4\pi \times 10^{-7} \ \text{H/m} \))
- \( Kuv \) yog lub zog hluav taws xob
- \( d\mathbf{l} \) yog ib qho me me ntawm cov hlau
- \( \mathbf{\hat{r}} \) yog ib lub vector unit nyob rau hauv qhov kev taw qhia los ntawm lub ntsiab lus hlau mus rau qhov chaw soj ntsuam
- \( r \) yog qhov deb ntawm cov hlau thiab qhov chaw soj ntsuam
Ib Txoj Hlau Coiled
Lub teb sib nqus ntawm qhov chaw ntawm lub voj voog hlau nrog lub vojvoog \(R\) thiab tam sim no \(I\) yog:
\[
B = \frac{\mu_0 I}{2R}
\]
Piv txwv lus nug 1
Lus Nug: Xam lub teb sib nqus ntawm qhov chaw ntawm lub voj voog hlau nrog lub vojvoog ntawm 10 cm nqa tam sim no ntawm 5 A.
Kev Sib Tham:
Siv cov qauv ntawm lub zog sib nqus rau ib lub voj voog,
\[
B = \frac{\mu_0 I}{2R}
\]
Qhov twg:
– \( \mu_0 = 4\pi \times 10^{-7} \ \text{H/m} \)
– \( Kuv = 5 \ \text{A} \)
– \( R = 0.1 \ \text{m} \) (vim 10 cm = 0.1 m)
Los ntawm kev hloov cov nqi no,
\[
B = \frac{4\pi \times 10^{-7} \times 5}{2 \times 0.1}
\]
\[
B = \frac{20\pi \times 10^{-7}}{0.2}
\]
\[
B = 2\pi \times 10^{-6} \text{T}
\]
\[
B = 6.28 \times 10^{-6} \text{T}
\]
Yog li, lub zog sib nqus ntawm qhov chaw nruab nrab ntawm lub voj hlau yog \(6.28 \ \mu T \).
Piv txwv lus nug 2
Lus Nug: Ib lub kauj uas muaj 20 lub vojvoog nrog lub vojvoog ntawm 10 cm nqa tam sim no ntawm 5 A. Xam lub teb sib nqus ntawm qhov chaw ntawm lub kauj.
Kev Sib Tham:
Lub zog sib nqus rau lub kauj ntawm N tig yog:
\[
B = \frac{\mu_0 NI}{2R}
\]
Qhov twg:
– \( N = 20 \)
– \( Kuv = 5 \ \text{A} \)
– \( R = 0.1 \ \text{m} \)
– \( \mu_0 = 4\pi \times 10^{-7} \ \text{H/m} \)
Los ntawm kev hloov cov nqi no,
\[
B = \frac{4\pi \times 10^{-7} \times 20 \times 5}{2 \times 0.1}
\]
\[
B = \frac{400\pi \times 10^{-7}}{0.2}
\]
\[
B = 20\pi \times 10^{-6} \text{T}
\]
\[
B = 62.8 \times 10^{-6} \text{T}
\]
Yog li, lub zog sib nqus ntawm qhov chaw nruab nrab ntawm lub kauj yog \(62.8 \ \mu T \).
Hlau Voj Voog ntawm Lub Kaum Ib Hlis
Yog tias ib lub voj hlau uas nqa hluav taws xob raug txiav ntawm lub kaum sab xis, ces qhov ntawd ntawm lub voj yuav tsim ib lub zog sib nqus sib txawv. Piv txwv li, rau ib lub voj voog ib nrab, lub zog sib nqus yog ib nrab ntawm lub zog sib nqus tag nrho, xav tau kev koom ua ke ntxiv rau cov kev daws teeb meem nyuaj.
Piv txwv lus nug 3
Lo lus nug: Xam lub zog sib nqus ntawm qhov chaw ntawm ib txoj hlua hlau uas tsuas yog tig ib nrab ntawm lub voj voog (180 degrees), nrog lub vojvoog ntawm 10 cm thiab tam sim no ntawm 5 A.
Kev Sib Tham:
Rau ib lub voj voog semicircle, lub magnetic field ntawm qhov chaw yog ib nrab ntawm tag nrho lub magnetic field:
\[
B = \frac{1}{2} \cdot \frac{\mu_0 I}{2R}
\]
Qhov twg:
– \( \mu_0 = 4\pi \times 10^{-7} \ \text{H/m} \)
– \( Kuv = 5 \ \text{A} \)
– \( R = 0.1 \ \text{m} \)
Los ntawm kev hloov cov nqi no,
\[
B = \frac{1}{2} \cdot \frac{4\pi \times 10^{-7} \times 5}{2 \times 0.1}
\]
\[
B = \frac{1}{2} \times 2\pi \times 10^{-6} \text{T}
\]
\[
B = \pi \times 10^{-6} \ \text{T}
\]
\[
B = 3.14 \times 10^{-6} \text{T}
\]
Yog li, lub zog sib nqus ntawm qhov chaw nruab nrab ntawm cov hlau semicircular yog \(3.14 \ \mu T \).
Kev kaw
Los ntawm cov piv txwv saum toj no, vam tias cov nyeem ntawv yuav nkag siab zoo dua txog yuav ua li cas xam lub zog sib nqus uas tsim los ntawm cov xov hlau uas nqa hluav taws xob. Qhov kev nkag siab no muaj txiaj ntsig zoo rau ntau yam kev siv thev naus laus zis thiab kev tshawb fawb, tshwj xeeb tshaj yog hauv cov teb ntawm electromagnetism thiab kev tsim hluav taws xob.
