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Консультация № 184176
09.10.2011, 04:34
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Здравствуйте! У меня возникли сложности с таким вопросом:
В однородном магнитном поле в плоскости перпендикулярной линиям индукции поля, находится замкнутый виток провода в виде окружности радиусом 6 см. Сечение провода 0,5 мм в квадрате, удельное сопротивление материала провода 2* 10 в минус 8 степени Ом. м. Магнитное поле уменьшается со скоростью 0,4 Тл/с. Найти величину и направление индукционного тока в проводе.
В однородном магнитном поле в плоскости перпендикулярной линиям индукции поля, находится замкнутый виток провода в виде окружности радиусом 6 см. Сечение провода 0,5 мм в квадрате, удельное сопротивление материала провода 2* 10 в минус 8 степени Ом. м. Магнитное поле уменьшается со скоростью 0,4 Тл/с. Найти величину и направление индукционного тока в проводе.
Обсуждение
09.10.2011, 13:41
общий
это ответ
Здравствуйте, Посетитель - 382542!
Предлагаю Вам следующее решение задачи.
Дано: r = 6 см = 6 [$183$] 10-2 м, A = 0,5 мм2 = 5 [$183$] 10-7 м2, [$961$] = 2 [$183$] 10-8 Ом [$183$] м, dB/dt = 0,4 Тл/с = 4 [$183$] 10-1 Тл/с.
Определить: I.
Решение.
Вследствие изменения индукции B магнитного поля изменяется магнитный поток Ф = BS через поверхность, ограниченную витком и имеющую площадь S = пr2. В витке возникает электродвижущая сила индукции, модуль которой |[$8496$]| = S [$183$] dB/dt = пr2 [$183$] dB/dt. В витке, имеющем сопротивление R = [$961$]L/A = 2пr[$961$]/A, появляется индукционный ток I = |[$8496$]|/R = пr2 [$183$] dB/dt [$183$] A/(2пr[$961$]) = rA [$183$] dB/dt/(2[$961$]).
Согласно правилу Ленца индукционный ток направлен так, что создаваемое им магнитное поле препятствует изменению магнитного потока, вызвавшего этот ток. В нашем случае, если расположить виток в плоскости, перпендикулярной направлению взгляда, и положить, что линии магнитной индукции направлены на нас, индукционный ток будет течь против часовой стрелки. Определим величину этого тока:
I = 6 [$183$] 10-2 [$183$] 5 [$183$] 10-7 [$183$] 4 [$183$] 10-1/(2 [$183$] 2 [$183$] 10-8) = 0,3 (А).
Ответ: 0,3 А; если расположить виток в плоскости, перпендикулярной направлению взгляда, и положить, что линии магнитной индукции направлены на нас, индукционный ток будет течь против часовой стрелки.
С уважением.
Предлагаю Вам следующее решение задачи.
Дано: r = 6 см = 6 [$183$] 10-2 м, A = 0,5 мм2 = 5 [$183$] 10-7 м2, [$961$] = 2 [$183$] 10-8 Ом [$183$] м, dB/dt = 0,4 Тл/с = 4 [$183$] 10-1 Тл/с.
Определить: I.
Решение.
Вследствие изменения индукции B магнитного поля изменяется магнитный поток Ф = BS через поверхность, ограниченную витком и имеющую площадь S = пr2. В витке возникает электродвижущая сила индукции, модуль которой |[$8496$]| = S [$183$] dB/dt = пr2 [$183$] dB/dt. В витке, имеющем сопротивление R = [$961$]L/A = 2пr[$961$]/A, появляется индукционный ток I = |[$8496$]|/R = пr2 [$183$] dB/dt [$183$] A/(2пr[$961$]) = rA [$183$] dB/dt/(2[$961$]).
Согласно правилу Ленца индукционный ток направлен так, что создаваемое им магнитное поле препятствует изменению магнитного потока, вызвавшего этот ток. В нашем случае, если расположить виток в плоскости, перпендикулярной направлению взгляда, и положить, что линии магнитной индукции направлены на нас, индукционный ток будет течь против часовой стрелки. Определим величину этого тока:
I = 6 [$183$] 10-2 [$183$] 5 [$183$] 10-7 [$183$] 4 [$183$] 10-1/(2 [$183$] 2 [$183$] 10-8) = 0,3 (А).
Ответ: 0,3 А; если расположить виток в плоскости, перпендикулярной направлению взгляда, и положить, что линии магнитной индукции направлены на нас, индукционный ток будет течь против часовой стрелки.
С уважением.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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