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Консультация № 137094
16.05.2008, 16:34
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Параллельно длинному прямолинейному проводнику с током на расстоянии 2 мм от него движетс электрон со скоростью 10^7 м/с. Найти силу, с которой магнитное поле подействует на электрон, если по проводнику течет ток 10 А.
Приложение:
Ответ: 1,6*10^-15 H.
Приложение:
Ответ: 1,6*10^-15 H.
Обсуждение
Неизвестный
20.05.2008, 18:20
общий
это ответ
Здравствуйте, Луковский Серргей Анатольевич!
Сила, с которой магнитное поле действует на заряженную частицу - сила Лоренца в данном случае (поле перпендикулярно скорости) определяется выражением:
F=q*V*B (1)
где q=1,6*10<sup>-19</sup> Кл - заряд электрона, V=10<sup>7</sup> м/с - его скорость, B - магнитное поле, в данном случае это поле, создаваемое проводником с током; для этого поля есть формула:
B=μ*μ<sub>0</sub>*I/(2*pi*a) (2)
где μ - магнитная проницаемость (для вакуума равна единице), μ<sub>0</sub>=1,257*10<sup>-6</sup> Гн/м, I=10 А - ток в проводнике, а=2 мм=2*10<sup>-3</sup> м - расстояние между проводником и электроном
Подставляя (2) в (1) получаем:
F=μ*μ<sub>0</sub>*I*q*V/(2*pi*a)=1,257*10<sup>-6</sup>*10*1,6*10<sup>-19</sup>*10<sup>7</sup>/(2*3,14*2*10<sup>-3</sup>)=1,6*10<sup>-15</sup> Н
Сила, с которой магнитное поле действует на заряженную частицу - сила Лоренца в данном случае (поле перпендикулярно скорости) определяется выражением:
F=q*V*B (1)
где q=1,6*10<sup>-19</sup> Кл - заряд электрона, V=10<sup>7</sup> м/с - его скорость, B - магнитное поле, в данном случае это поле, создаваемое проводником с током; для этого поля есть формула:
B=μ*μ<sub>0</sub>*I/(2*pi*a) (2)
где μ - магнитная проницаемость (для вакуума равна единице), μ<sub>0</sub>=1,257*10<sup>-6</sup> Гн/м, I=10 А - ток в проводнике, а=2 мм=2*10<sup>-3</sup> м - расстояние между проводником и электроном
Подставляя (2) в (1) получаем:
F=μ*μ<sub>0</sub>*I*q*V/(2*pi*a)=1,257*10<sup>-6</sup>*10*1,6*10<sup>-19</sup>*10<sup>7</sup>/(2*3,14*2*10<sup>-3</sup>)=1,6*10<sup>-15</sup> Н
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