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Задать вопрос экспертам

Консультация № 196500

28.09.2019, 22:51

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Образование

Уважаемые эксперты! Пожалуйста, ответьте на вопрос: Ток 10 А, протекая по кольцу из медной проволоки сечением 1 мм^2, создаёт в центре кольца напряжённость магнитного поля 200 А/м, Какая разность потенциалов приложена к концам проволоки, образующей кольцо?

Обсуждение

давно

Алексеев Владимир Николаевич

Мастер-Эксперт
259041
7459

29.09.2019, 13:57

общий

это ответ

Здравствуйте, syndicate71rus!
Напряжённость магнитного поля H=200 А/м в кольце радиусом R с током I = 10 А вычисляется по формуле
H = I / (2·R) (см "Формулы индукции магнитного поля" Ссылка1 \ (8) )
Из этой базовой формулы можем узнать радиус кольца
R = I / (2·H) = 10 / 400 = 0,025 м

Электрическое сопротивление r медного проводника длиной L и площадью сечения S = 1 мм² = 1·10^-6 м² связано с удельным сопротивлением [$961$] меди формулой
r = [$961$]·L/S (см "Что такое удельное электрическое сопротивление?" Ссылка2 )
В этой же учебной статье читаем удельное сопротивление меди [$961$] = 1,7·10^-8 Ом·м
Длина окружности кольца L = 2·[$960$]·R = 0,157 м
Сопротивление медного кольца r = [$961$]·L/S = 2,67·10^-3 Ом

По закону Ома вычисляем искомую разность потенциалов, приложенную к концам проволочного кольца :
[$916$]U = I·r = 0.027 Вольт = 27 мВ

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