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Консультация № 197936
06.03.2020, 18:05
0.00 руб.
1
1
1
Здравствуйте! Прошу помощи в следующем вопросе:
На железное кольцо небольшого кругового сечения намотано в один слой 500 витков тонкого провода. Средний диаметр кольца 200 мм. При какой силе тока I в обмотке магнитная индукция В в сердечнике будет равна 1.00 Тл? При решении задачи использовать кривую, изображенную на рис. 2.1.
Сделать рисунок к этой задаче.
На железное кольцо небольшого кругового сечения намотано в один слой 500 витков тонкого провода. Средний диаметр кольца 200 мм. При какой силе тока I в обмотке магнитная индукция В в сердечнике будет равна 1.00 Тл? При решении задачи использовать кривую, изображенную на рис. 2.1.
Сделать рисунок к этой задаче.
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Обсуждение
16.03.2020, 14:41
общий
это ответ
Здравствуйте, dar777!
Дано : число витков N = 500 вит, Средний диаметр кольца D = 200 мм = 0,2 м, Индукция B = 1,00 Тл.
Вычислить ток I = ?
Решение : В соответствии с графиком зависимости B = f (H) для железа (прилагаю), индукции B=1,00 Тл соответствуют напряжённость H=80 А/м.
Полагаем, будто обмотка распределена равномерно по всей окружности кольца длиной L = [$960$]·D = 3,14·0,2 = 0,628 м.
Тогда плотность намотки (число витков на единицу длины кольца) равна n = N / L = 500 / 0,628 = 796 вит/м.
Напряжённость магнитного поля в обмотке соленоида (как и тороида или железного кольца) равна
H = n·I , где I - сила тока.
Отсюда искомый ток равен I = H / n = 80 / 796 = 0,10 А
Ответ : сила тока равна 0,10 А .
Решения похожих задач : rfpro.ru/question/193417 ,
Методические указания по решению задач, модуль 6 \ Примеры решения задач Ссылка2
Дано : число витков N = 500 вит, Средний диаметр кольца D = 200 мм = 0,2 м, Индукция B = 1,00 Тл.
Вычислить ток I = ?
Решение : В соответствии с графиком зависимости B = f (H) для железа (прилагаю), индукции B=1,00 Тл соответствуют напряжённость H=80 А/м.
Полагаем, будто обмотка распределена равномерно по всей окружности кольца длиной L = [$960$]·D = 3,14·0,2 = 0,628 м.
Тогда плотность намотки (число витков на единицу длины кольца) равна n = N / L = 500 / 0,628 = 796 вит/м.
Напряжённость магнитного поля в обмотке соленоида (как и тороида или железного кольца) равна
H = n·I , где I - сила тока.
Отсюда искомый ток равен I = H / n = 80 / 796 = 0,10 А
Ответ : сила тока равна 0,10 А .
Решения похожих задач : rfpro.ru/question/193417 ,
Методические указания по решению задач, модуль 6 \ Примеры решения задач Ссылка2
5
Это самое лучшее решение!
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