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Консультация № 201546
25.10.2021, 09:59
0.00 руб.
0
1
1
Здравствуйте, уважаемые эксперты! Прошу вас решить следующую задачу:
В последовательной замкнутой цепи, состоящей из источника переменного напряжения с частотой 1 кГц и величиной 12 V, резистора номинальным сопротивлением 2 кОм ,конденсатора и катушки индуктивности 200 mГн, определить величину ёмкости конденсатора при которой на этой частоте наступит резонанс.
Заранее спасибо!
В последовательной замкнутой цепи, состоящей из источника переменного напряжения с частотой 1 кГц и величиной 12 V, резистора номинальным сопротивлением 2 кОм ,конденсатора и катушки индуктивности 200 mГн, определить величину ёмкости конденсатора при которой на этой частоте наступит резонанс.
Заранее спасибо!
Обсуждение
26.10.2021, 10:01
общий
26.10.2021, 12:00
это ответ
Условие: Частота f = 1 кГц = 1000 Гц, индуктивность L = 200 мГн = 0,2 Гн, сопротивление R = 2 кОм, напряжение U = 12 В.
Вычислить ёмкость C контура на резонансой частоте f .
Решение : Резонансная частота последовательного колебательного контура, содержащего L и C элементы, вычисляется по формуле
[$969$]0 = 1 / [$8730$](L·C) (см "методичку" Красноярского университета "Резонанс. Частотные характеристики Эл-Цепей" 231кБ Ссылка )
В Вашей задаче [$969$]0 = 2·[$960$]·f
Значит, искомая ёмкость C = 1 / [(2·[$960$]·f)2·L] = 1,27·10-7 Ф = 0,127 мкФ
Ответ: на резонансой частоте f = 1 кГц ёмкость контура равна 0,127 микроФарад.
Избыточные данные R и U Условия НЕ влияют на взаимосвязь Резонансной частоты и ёмкости контура.
Проверка: [$969$]0 = 1 / [$8730$](L·C) = 6283 рад/с
f = [$969$]0 / (2·[$960$]) = 1000 Гц , в чём и требовалось убедиться.
Вычислить ёмкость C контура на резонансой частоте f .
Решение : Резонансная частота последовательного колебательного контура, содержащего L и C элементы, вычисляется по формуле
[$969$]0 = 1 / [$8730$](L·C) (см "методичку" Красноярского университета "Резонанс. Частотные характеристики Эл-Цепей" 231кБ Ссылка )
В Вашей задаче [$969$]0 = 2·[$960$]·f
Значит, искомая ёмкость C = 1 / [(2·[$960$]·f)2·L] = 1,27·10-7 Ф = 0,127 мкФ
Ответ: на резонансой частоте f = 1 кГц ёмкость контура равна 0,127 микроФарад.
Избыточные данные R и U Условия НЕ влияют на взаимосвязь Резонансной частоты и ёмкости контура.
Проверка: [$969$]0 = 1 / [$8730$](L·C) = 6283 рад/с
f = [$969$]0 / (2·[$960$]) = 1000 Гц , в чём и требовалось убедиться.
Форма ответа
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