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Консультация № 179876
07.09.2010, 23:46
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1
Здравствуйте Уважаемые Эксперты. Помогите пожалуйста решить задачу.
По плоскому контуру, изображенному на рис., течет ток силы I=1 А. Угол между прямолинейными участками контура прямой. Радиусы имеют значения: r1=10 см, r2=20 см. Найти магнитную индукцию B в точке C. (отв B=4,8 мТл)
По плоскому контуру, изображенному на рис., течет ток силы I=1 А. Угол между прямолинейными участками контура прямой. Радиусы имеют значения: r1=10 см, r2=20 см. Найти магнитную индукцию B в точке C. (отв B=4,8 мТл)
Обсуждение
08.09.2010, 11:03
общий
это ответ
Здравствуйте, Massimo.
Вертикальный и горизонтальный участки контура не создают магнитного поля в точке C, потому что эта точка находится на продолжении этих участков. Участок с радиусом r1 создает индукцию, равную 3/4 индукции, которую создавал бы замкнутый участок с тем же радиусом, а участок с радиусом r2 – индукцию, равную 1/4 индукции, которую создавал бы замкнутый участок с тем же радиусом. Поэтому в соответствии с принципом суперпозиции искомая индукция равна
B = 3/4 • μ0μI/(2r1) + 1/4 • μ0μI/(2r2) = μ0μI/8 • (3/r1 + 1/r2).
После подстановки в указанную формулу численных значений величин получаем
B = 4π • 10-7 • 1 • 1/8 • (3/0,1 + 1/0,2) ≈ 5,5 • 10-6 (Тл) = 5,5 мкТл.
С уважением.
Вертикальный и горизонтальный участки контура не создают магнитного поля в точке C, потому что эта точка находится на продолжении этих участков. Участок с радиусом r1 создает индукцию, равную 3/4 индукции, которую создавал бы замкнутый участок с тем же радиусом, а участок с радиусом r2 – индукцию, равную 1/4 индукции, которую создавал бы замкнутый участок с тем же радиусом. Поэтому в соответствии с принципом суперпозиции искомая индукция равна
B = 3/4 • μ0μI/(2r1) + 1/4 • μ0μI/(2r2) = μ0μI/8 • (3/r1 + 1/r2).
После подстановки в указанную формулу численных значений величин получаем
B = 4π • 10-7 • 1 • 1/8 • (3/0,1 + 1/0,2) ≈ 5,5 • 10-6 (Тл) = 5,5 мкТл.
С уважением.
5
Большое спасибо за помощь!!!
Об авторе:
Facta loquuntur.
Facta loquuntur.
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