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Консультация № 179446
08.07.2010, 17:01
0.00 руб.
0
1
1
Здравствуйте,
Проволочная рамка площадью S равномерно вращается в однородном магнитном поле с индукцией В вокруг оси, перпендикулярной направлению поля. Период вращения равен Т. Выразить магнитный поток Ф, проходящий через рамку, и э. д. с. индукции E в рамке как функцию времени.
Проволочная рамка площадью S равномерно вращается в однородном магнитном поле с индукцией В вокруг оси, перпендикулярной направлению поля. Период вращения равен Т. Выразить магнитный поток Ф, проходящий через рамку, и э. д. с. индукции E в рамке как функцию времени.
Обсуждение
08.07.2010, 17:36
общий
это ответ
Здравствуйте, noobjkee.
Пусть угол [$966$] - угол между наравлениями вектора индукции магнитного поля и вектора нормали к рамке (направление вектора нормали выберается так, чтобы ток, текущий по рамке в положительном направлении, создаёт индукцию, направленную по вектору нормали).
Известно, что при угловой скорости вращения [$969$] угол [$966$] изменяется по закону [$966$]=[$966$]0+[$969$]t, где [$966$]0 - угол в момент времени t=0
Период и угловая скорость свзаны отношением [$969$]=2π/T
[$966$]=[$966$]0+2πt/T
Магнитный поток равен
Φ=B*S*cos[$966$]=B*S*cos([$966$]0+2πt/T)
ЭДС по закону магнитной индукции равна
E=-dΦ/dt=-B*S*d(cos([$966$]0+2πt/T))/dt=B*S*sin([$966$]0+2πt/T)*2π/T
(минус в формуле означает, что направление ЭДС таково, что создаваемый ток порождает магнитное поле, направленное противоположно изменению внешнего магнитного поля)
Пусть угол [$966$] - угол между наравлениями вектора индукции магнитного поля и вектора нормали к рамке (направление вектора нормали выберается так, чтобы ток, текущий по рамке в положительном направлении, создаёт индукцию, направленную по вектору нормали).
Известно, что при угловой скорости вращения [$969$] угол [$966$] изменяется по закону [$966$]=[$966$]0+[$969$]t, где [$966$]0 - угол в момент времени t=0
Период и угловая скорость свзаны отношением [$969$]=2π/T
[$966$]=[$966$]0+2πt/T
Магнитный поток равен
Φ=B*S*cos[$966$]=B*S*cos([$966$]0+2πt/T)
ЭДС по закону магнитной индукции равна
E=-dΦ/dt=-B*S*d(cos([$966$]0+2πt/T))/dt=B*S*sin([$966$]0+2πt/T)*2π/T
(минус в формуле означает, что направление ЭДС таково, что создаваемый ток порождает магнитное поле, направленное противоположно изменению внешнего магнитного поля)
5
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