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Консультация № 135518
05.05.2008, 21:19
0.00 руб.
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Доброго времени суток! Уважаемые эксперты помогите решить задачу. Какое ускорение приобретает проводник массой 0,1 г и длиной 8 см* в однородном магнитном поле напряженностью 10 кА/м, если сила тока в нем 1 А, а направление тока и индукции взаимно перпендикулярны.
Обсуждение
08.05.2008, 09:27
общий
это ответ
Здравствуйте, Менщиков Александр!
Обозначим: H = 10<sup>4</sup> А/м - напряжённость магнитного поля, B - магнитная индукция, μ<sub>0</sub> = 1.257*10<sup>-6</sup> - "магнитная постоянная", m = 10<sup>-4</sup> кг - масса проводника, l = 8*10<sup>-2</sup> м - длина проводника, F - "амперова" сила, действующая на проводник, I = 1 А - сила тока в нем, a - ускорение, которое приобретает проводник. Тогда a = F/m (1), F = B*l*I (2), B = μ<sub>0</sub>*H (3). Объединяем (1), (2) и (3): a = μ<sub>0</sub>*H*l*I/m (4), в числах: a = 1.257*10<sup>-6</sup>*10<sup>4</sup>*8*10<sup>-2</sup>*1/10<sup>-4</sup> = 10 м/с<sup>2</sup>.
Обозначим: H = 10<sup>4</sup> А/м - напряжённость магнитного поля, B - магнитная индукция, μ<sub>0</sub> = 1.257*10<sup>-6</sup> - "магнитная постоянная", m = 10<sup>-4</sup> кг - масса проводника, l = 8*10<sup>-2</sup> м - длина проводника, F - "амперова" сила, действующая на проводник, I = 1 А - сила тока в нем, a - ускорение, которое приобретает проводник. Тогда a = F/m (1), F = B*l*I (2), B = μ<sub>0</sub>*H (3). Объединяем (1), (2) и (3): a = μ<sub>0</sub>*H*l*I/m (4), в числах: a = 1.257*10<sup>-6</sup>*10<sup>4</sup>*8*10<sup>-2</sup>*1/10<sup>-4</sup> = 10 м/с<sup>2</sup>.
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