Правка разделов «Statement», «Solution», «Answer»
en/9.3.12.md
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| ### Statement | |||
| − | $9.3.12.$ | ||
| + | $9.3.12.$ Thin square plates with dimensions $a × a × h$ $(h ≪ a)$ are magnetized to saturation in the direction | ||
| + | perpendicular to their plane. In the center of each plate is the magnetic field induction $B_0$. What will | ||
| + | be the field induction inside a long rectangular column of section $a × a$ assembled from these plates? | ||
| ### Solution | |||
| − | |||
| − | |||
| − | Отсюда: | ||
| + | |||
| + | From the solution to problem 9.2.19, we know that the magnetic moment of such a thin plate is $$M=\frac{B_0\pi a}{2\sqrt{2}\mu_0 h}$$ | ||
| + | We also know that $i=M$, and the induction inside the infinite rod is $B=\mu_0 i$ (see previous problems). | ||
| + | Hence: | ||
| $$B=\frac{B_0\pi a}{2\sqrt{2}h}$$ | |||
| #### Answer | |||
| − | [Insert a concise answer or boxed result] | ||
| + | $$B=\frac{B_0\pi a}{2\sqrt{2}h}$$ | ||
| @@ -1,14 +1,17 @@ | |||
| ### Statement | ### Statement | ||
| $9.3.12.$ |
$9.3.12.$ Thin square plates with dimensions $a × a × h$ $(h ≪ a)$ are magnetized to saturation in the direction | ||
| perpendicular to their plane. In the center of each plate is the magnetic field induction $B_0$. What will | |||
| be the field induction inside a long rectangular column of section $a × a$ assembled from these plates? | |||
| ### Solution | ### Solution | ||
| From the solution to problem 9.2.19, we know that the magnetic moment of such a thin plate is $$M=\frac{B_0\pi a}{2\sqrt{2}\mu_0 h}$$ | |||
| Отсюда: | We also know that $i=M$, and the induction inside the infinite rod is $B=\mu_0 i$ (see previous problems). | ||
| Hence: | |||
| $$B=\frac{B_0\pi a}{2\sqrt{2}h}$$ | $$B=\frac{B_0\pi a}{2\sqrt{2}h}$$ | ||
| #### Answer | #### Answer | ||
| [Insert a concise answer or boxed result] | $$B=\frac{B_0\pi a}{2\sqrt{2}h}$$ | ||