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Консультация № 189357
13.05.2016, 14:49
0.00 руб.
0
3
1
Здравствуйте! Прошу помощи с данной задачей:
В однородном магнитном поле с напряженностью 43 кА/м в плоскости, перпендикулярной линиям поля, вращается стержень длиной 31 см. Ось вращения проходит через точку, отстоящую от конца стержня на 1/3 его длины. Определить разность потенциалов на концах стержня при частоте вращения 30 Гц.
В однородном магнитном поле с напряженностью 43 кА/м в плоскости, перпендикулярной линиям поля, вращается стержень длиной 31 см. Ось вращения проходит через точку, отстоящую от конца стержня на 1/3 его длины. Определить разность потенциалов на концах стержня при частоте вращения 30 Гц.
Обсуждение
15.05.2016, 19:46
общий
это ответ
Здравствуйте, YarLam125!
[TNR]H = 43 кА/м[/TNR]
Индукция [TNR]B = [$956$]0H
f = 30 Гц
[$8467$] = 31 см[/TNR]
Точечный участок стержня длиной [TNR]dr[/TNR], находящийся на расстоянии [TNR]r[/TNR] от оси движется перпендикулярно линиям магнитного поля со скоростью
[TNR]v = 2[$960$]fr[/TNR]
И в нём создаётся индукция
[TNR]d[$8496$] = vB[$183$]dr = 2[$960$]f[$956$]0Hr[$183$]dr[/TNR]
интегрируем от [TNR]-[$8467$]/3[/TNR] до [TNR]2[$8467$]/3[/TNR]
[TNR][$8496$] = 2[$960$]f[$956$]0H-[$8467$]/32[$8467$]/3[$8747$]r[$183$]dr = [$960$]f[$956$]0H((2[$8467$]/3)2-([$8467$]/3)2) = [$960$]f[$956$]0H[$8467$]2/3 =
= [$960$][$183$]30Гц[$183$]4[$960$][$183$]10-7Н/А[sup]2[/sup][$183$]4,3[$183$]104А/м[$183$](0,31м)2/3 = 0,163 В[/TNR]
Примечание: по разные стороны от оси индукция в стержне имеет противоположные направления, поэтому ЭДС участков с [TNR]r[/TNR] от [TNR]-[$8467$]/3[/TNR] до [TNR]0[/TNR] и от [TNR]0[/TNR] до [TNR][$8467$]/3[/TNR] полностью взаимно компенсируется
[TNR]H = 43 кА/м[/TNR]
Индукция [TNR]B = [$956$]0H
f = 30 Гц
[$8467$] = 31 см[/TNR]
Точечный участок стержня длиной [TNR]dr[/TNR], находящийся на расстоянии [TNR]r[/TNR] от оси движется перпендикулярно линиям магнитного поля со скоростью
[TNR]v = 2[$960$]fr[/TNR]
И в нём создаётся индукция
[TNR]d[$8496$] = vB[$183$]dr = 2[$960$]f[$956$]0Hr[$183$]dr[/TNR]
интегрируем от [TNR]-[$8467$]/3[/TNR] до [TNR]2[$8467$]/3[/TNR]
[TNR][$8496$] = 2[$960$]f[$956$]0H-[$8467$]/32[$8467$]/3[$8747$]r[$183$]dr = [$960$]f[$956$]0H((2[$8467$]/3)2-([$8467$]/3)2) = [$960$]f[$956$]0H[$8467$]2/3 =
= [$960$][$183$]30Гц[$183$]4[$960$][$183$]10-7Н/А[sup]2[/sup][$183$]4,3[$183$]104А/м[$183$](0,31м)2/3 = 0,163 В[/TNR]
Примечание: по разные стороны от оси индукция в стержне имеет противоположные направления, поэтому ЭДС участков с [TNR]r[/TNR] от [TNR]-[$8467$]/3[/TNR] до [TNR]0[/TNR] и от [TNR]0[/TNR] до [TNR][$8467$]/3[/TNR] полностью взаимно компенсируется
5
Большое спасибо!
13.01.2021, 20:37
общий
В однородном магнитном поле с индукцией В = 0.4 Тл в
плоскости, перпендикулярной линиям индукции поля, вращается
стержень длиной l = 10 см. Ось вращения проходит через один из
концов стержня, Определить разность потенциалов U на концах
стержня при частоте вращения n = 16 с-1.
вакууме (с = 3.108 м/с).
плоскости, перпендикулярной линиям индукции поля, вращается
стержень длиной l = 10 см. Ось вращения проходит через один из
концов стержня, Определить разность потенциалов U на концах
стержня при частоте вращения n = 16 с-1.
вакууме (с = 3.108 м/с).
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