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Консультация № 178120
30.04.2010, 14:31
0.00 руб.
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Добрый день, эксперты! Помогите, пожалуйста, с задачей:
Напряжение на зажимах генератора изменяется периодически со временем t по закону, графически представленному на рисунке. При каких значениях частоты генератора можно ожидать резкого увеличения тока в цепи, если L=100 мГн, C=10 мкФ?
Напряжение на зажимах генератора изменяется периодически со временем t по закону, графически представленному на рисунке. При каких значениях частоты генератора можно ожидать резкого увеличения тока в цепи, если L=100 мГн, C=10 мкФ?
Обсуждение
01.05.2010, 16:06
общий
это ответ
Здравствуйте, Болдырев Тимофей.
На Вашем верхнем рисунке изображён последовательный колебательный контур. Резкое увеличение тока в нём будет, когда частота напряжения генератора совпадёт с резонансной частотой контура. Вычислить эту резонансную частоту можно по формуле
F=1/(2*pi*sqrt(L*C))
где pi=3.14159, sqrt - функция извлечения корня квадратного из произведения LC. Подставим числовые значения, заменив 100 мГн на 0.1 Гн, а 10 мкФ на 10*10-6 Фарад.
L*C=0.1*10*10-6=1*10-6=0.000001
sqrt=0.001 (=корень из 0.000001)
F=1/(2*3,14159*0,001)=159 Герц
Успехов!
На Вашем верхнем рисунке изображён последовательный колебательный контур. Резкое увеличение тока в нём будет, когда частота напряжения генератора совпадёт с резонансной частотой контура. Вычислить эту резонансную частоту можно по формуле
F=1/(2*pi*sqrt(L*C))
где pi=3.14159, sqrt - функция извлечения корня квадратного из произведения LC. Подставим числовые значения, заменив 100 мГн на 0.1 Гн, а 10 мкФ на 10*10-6 Фарад.
L*C=0.1*10*10-6=1*10-6=0.000001
sqrt=0.001 (=корень из 0.000001)
F=1/(2*3,14159*0,001)=159 Герц
Успехов!
5
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