9.2.19 | до правки #18651 | Решения Савченко

Statement

9.2.19^∗. [Insert the problem statement]

Solution

a) let current flow in each micro circuit I I = \frac{M_0}{\Delta S} $ This means that at large distances we can assume that we are dealing with a frame with the same current, the magnetic moment of such a frame (assuming the distribution of contours as in the problem

$9.2.18$

$):$

m = n \Delta Si = nm_0 MhS=IS I = Mh dB_1 = \frac{\mu_0 Idlsin\varphi}{4\pi r^2} dB_1 = \frac{\mu_0 I\frac{a/2d\varphi}{sin^2\varphi} sin\varphi}{4\pi \frac{(a/2)^2}{sin^2\varphi}}=\frac{\mu_0 Isin\varphi d\varphi}{4\pi a/2} B_1 = 2\int_{0}^{\pi/4}\frac{\mu_0 Isin\varphi d\varphi}{4\pi a/2} B_1 = \frac{\mu_0 I}{4\pi a/2}\cdot 2 cos(\pi/4) B = 4B_1 = \frac{2\sqrt{2}\mu_0I}{\pi a} M = \frac{B\pi a}{\sqrt{8}\mu_0 h}

Answer

[Insert a concise answer or boxed result]