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\end{table} + + По полученным данным был построен график. В нем не учитывается точка при $n = 10$, сильно выбивается из общей зависимости. + + \begin{figure}[H] + \centering + \includegraphics[width = \textwidth]{M(n)} + \caption{График зависимости момента силы тяжести от количества шариков} + \end{figure} + + Здесь принята погрешность измерения уравновешивающей массы за $5\%$. Выразим вертикальную составляющую магнитного поля: + \[\mathcal{M}_n = m_{\text{гр}}gr_{\text{гр}} = n\mathbf{m}B_v\] + \[B_v = \frac{\mathcal{M}_n}{n\mathbf{m}} = (3,72 \pm 0,69) \cdot 10^{-5} \ (\varepsilon = 18,6\%)\] + + Теперь можем посчитать полную величину индукции и магнитное наклонение: + + \[|B| = \sqrt{B_h^2 + B_v^2} = (4,38 \pm 0,66) \cdot 10^{-5} \ \ \text{Тл} \ (\varepsilon = 15\%) \] + + \[\tg{\beta} = \frac{B_v}{B_h} = 1,58 \pm 0,49 \ \ (\varepsilon = 31\%)\ \ \rightarrow \beta = 57,7^{\circ} \pm 8,9^{\circ} \ \ (\varepsilon = 15,5\%)\] + + Можно также рассчитать теоретическое значение $\beta$ на широте москвы $\varphi = 56^{\circ}$ в предположении, что Земля - однородно намагниченный шар: + + \[\beta = \arcctg{\frac{\frac{2P_m \sin{\varphi}}{R^3}}{\frac{-P_m \cos{\varphi}}{R^3}}} \approx -71^{\circ}\] + + Табличные данные магнитного поля в Москве приведены ниже: + \[B_{\text{табл}} = 5 \cdot 10^{-5} \ \text{Тл} \ \ \ \beta_{\text{табл}} \approx 74^{\circ} - 78^{\circ}\] + + \section*{Выводы} + В данной лабораторной работе были изучены характеристики неодимовых магнитов, а также вертикальная и горизонтальная составляющая магнитного поля. \\ + \begin{enumerate} + \item Остаточная намагниченность $B_r = (0,814 \pm 0,047)$ Тл совпадает по порядку с табличными значениями $B_{r_{\text{табл}}} \approx 1,1$ Тл. + \item Значения $B_h$ и $B_v$ также совпадают по порядку с табличными. По значению могут не совпадать, так как в кабинете еще есть электронные устройства, имеющие также своё магнитное поле. Полная величина индукции совпадает с табличными данными в пределах погрешности. + \item Погрешности в измерениях компонент магнитного поля высоки ввиду неточности эксперимента, так как многое делается "на глаз". + \item Магнитное наклонение не сходится с табличными данными. Скорее всего, причина, опять же, в наличии других источников полей в кабинете, ну и в неточности самого эксперимента. + \end{enumerate} + + +\end{document} \ No newline at end of file diff --git a/3.1.3/Abakshin_V/M(n).png b/3.1.3/Abakshin_V/M(n).png new file mode 100644 index 0000000000000000000000000000000000000000..b7f77b746d26c272d72e5009b12c5ed62fba7390 GIT binary patch literal 72385 zcmdRW2|Uzm`?qu2OVnwzgp^2?6yVG=>;UW1IIksOX&MeV_mTdH&D)zCLs4+;ji#`*&a0bzj%_`d;_%_uvmh z?d@9ywsLWCZ3pZ84&mb3g5l!YG`o2n&|*9nZN$a3j_VKo3tGVca&akfaoKPwDRC(Q zzeBlfY`AQ2o4L3)Z{ECP#|}O&Ek`3?) zRkFb;g@!7H0>8;;&z{xQ)rCMHP$<-9X>=PUE*qdLr!VjmY7+{4a5kZ28ywCC2mEF` zIy$0-~ltMWd;6f3IP@tW2De!{}#Q`63C>i*$BM^v) zKmUw~h={kbiFb62cXNwJAmZcWQ@OZOZER8<9aG)hQd3j0Ha1u+76*agY`AbXO2G8E zP$e8^XkaklMu6YI4;e=WK5QJDP2l1poIOh*5URPjs&#d%tE-#No^8V6nh1m@;NMM6 zWG*hUtSnhci5v=iY{;RZa=$KpI?@mb8jUu#W5<}N=-An_ zW4gLy5Xcx5I%Z=tHa0fH#Wk~e^URJNGkknAl9Dq@N;7BA&gkmSKp-g?cb&-GexC>Utlw0!+7R~uWdDRv$!QIK0>&0lZ z1Q*u%`=NKesQ5 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