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Задать вопрос экспертам

Консультация № 181078

03.12.2010, 08:01

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Образование

Здравствуйте, уважаемые эксперты! Прошу Вас ответить на следующий вопрос:

В атоме водорода электрон движется по орбите, радиус которой 2,12 [$149$] 10^-10м со скоростью 2 [$149$] 10⁶ м/с. Определить индукцию магнитного поля в центре орбиты и магнитный момент электрона.

Обсуждение

давно

Мастер-Эксперт
226425
1567

03.12.2010, 10:40

общий

это ответ

Здравствуйте, Анна Юрьевна!
Дано:
R = 2.12*10^-10 м
v = 2*10⁶ м/с
Найти:
B
p_m
Решение:
Магнитная индукция в центре кругового тока
B=[$956$]*[$956$]₀*I/2R
Электрон, вращаясь по окружности, создает ток
I=e/t=e*v/(2*pi*R)
Тогда индукция
B=[$956$]*[$956$]₀*e*v/(4*pi*R²)
Здесь
[$956$]=1 (магнитная прониаемость),
[$956$]₀=4*pi*10^-7 Гн/м - магнитная постоянная,
e = 1.6*10^-19 Кл - величина заряда электрона.
Подставляем значения в последнюю формулу и после расчетов получаем
В=0,7 Тл
Магнитный момент
p_m = I*S = e*v/(2*pi*R) * pi*R² = e*v*r/2
p_m = 3.4*10^-23 А*м²

Удачи

5

Большое спасибо!

Об авторе:
С уважением
shvetski

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