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Консультация № 172213
15.09.2009, 22:15
0.00 руб.
0
2
1
Два бесконечно длинных прямолинейных проводника с токами 6 и 8 А расположены перпендикулярно друг другу. Определить индукцию и напряженность магнитного поля на середине кратчайшего расстояния между проводниками, равного 20 см.
Обсуждение
15.09.2009, 23:28
общий
это ответ
Здравствуйте, Bestelm.
Дано:
I1=6 А
I2= 8 A
r = 20 см = 0,2 м
Найти: В
Решение:
http://radikal.ru/F/s55.radikal.ru/i148/0909/a5/10ebb2966bdf.jpg.html
Магнитная индукция В - это векторная сумма индукции В1 и В2. Из рисунка видно, что вектора В1 и В2 расположены под углом 90 градусов друг к другу. Вектор В2 уходит в плоскость рисунка - обозначен крестиками.
Тогда, по теореме Пифагора В= sqrt (B1^2 + B2^2)
Найдем индукцию бесконечно длинных проводников
В=([$956$]*[$956$]0/4п)*2I/a, где [$956$]=1, [$956$]0=4п*10^-7 Гн/м, п=3,14, а=r/2
Тогда
B=[$956$]*[$956$]0/4п * 4I/r
B1= (1*4*3.14*10^-7/4*3.14)*4*6/0.2 = 120*10^-7 Тл = 1,2*10^-5 Тл
B2=(1*4*3.14*10^-7/4*3.14)*4*8/0.2 = 1.6*10^-5 Тл
В= sqrt ((1.2*10^-5)^2 + (1.6*10^-5)^2) = 2*10^-5 Тл.
Напряженность магнитного поля
Н=В/[$956$]0 = 2*10^-5/4п*10^-7 = 15,9 А/м
Дано:
I1=6 А
I2= 8 A
r = 20 см = 0,2 м
Найти: В
Решение:
http://radikal.ru/F/s55.radikal.ru/i148/0909/a5/10ebb2966bdf.jpg.html
Магнитная индукция В - это векторная сумма индукции В1 и В2. Из рисунка видно, что вектора В1 и В2 расположены под углом 90 градусов друг к другу. Вектор В2 уходит в плоскость рисунка - обозначен крестиками.
Тогда, по теореме Пифагора В= sqrt (B1^2 + B2^2)
Найдем индукцию бесконечно длинных проводников
В=([$956$]*[$956$]0/4п)*2I/a, где [$956$]=1, [$956$]0=4п*10^-7 Гн/м, п=3,14, а=r/2
Тогда
B=[$956$]*[$956$]0/4п * 4I/r
B1= (1*4*3.14*10^-7/4*3.14)*4*6/0.2 = 120*10^-7 Тл = 1,2*10^-5 Тл
B2=(1*4*3.14*10^-7/4*3.14)*4*8/0.2 = 1.6*10^-5 Тл
В= sqrt ((1.2*10^-5)^2 + (1.6*10^-5)^2) = 2*10^-5 Тл.
Напряженность магнитного поля
Н=В/[$956$]0 = 2*10^-5/4п*10^-7 = 15,9 А/м
5
Об авторе:
С уважением
shvetski
С уважением
shvetski
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