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Консультация № 196421
20.09.2019, 22:26
0.00 руб.
0
4
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Катушку индуктивности L = 300 мГн и сопротивления R = 140 мОм подключили к источнику постоянного напряжения с ЭДС ξ = 1 В. Найти зависимость от времени силы тока в катушке.
Сделать рисунок.
Катушку индуктивности L = 300 мГн и сопротивления R = 140 мОм подключили к источнику постоянного напряжения с ЭДС ξ = 1 В. Найти зависимость от времени силы тока в катушке.
Сделать рисунок.
Обсуждение
21.09.2019, 15:15
общий
это ответ
Здравствуйте, dar777!
В Условии задачи не заданы внутреннее сопротивление источника ЭДС и схемный способ соединения элементов цепи. Полагаем, будто все элементы соединены последовательно, а источник ЭДС - идеальный (внутреннее сопротивление = 0).
Ток через катушку не может измениться мгновенно. Ток I(t) будет возрастать по закону
I(t) = Im·(1 - e-t/[$964$])
от нуля (в начальный момент времени) и асимптотически приближаться к максимальному значению
Im = E / R = 1/0,14 = 7,143 Ампер (при t --> бесконечности).
Здесь [$964$] = L / R = 300 мГн / 140 мОм = 2,143 сек - постоянная времени - инерционный параметр RL-цепи .
Искомая зависимость силы тока в катушке от времени показана в ниже-таблице и на графике.
Подробнее см статьи "Постоянная времени" ru.wikipedia.org/wiki/Постоянная_времени ,
"Влияние самоиндукции на ток при замыкании и размыкании цепи, содержащей индуктивность" Ссылка2 ,
"Катушка индуктивности" Ссылка3
В Условии задачи не заданы внутреннее сопротивление источника ЭДС и схемный способ соединения элементов цепи. Полагаем, будто все элементы соединены последовательно, а источник ЭДС - идеальный (внутреннее сопротивление = 0).
Ток через катушку не может измениться мгновенно. Ток I(t) будет возрастать по закону
I(t) = Im·(1 - e-t/[$964$])
от нуля (в начальный момент времени) и асимптотически приближаться к максимальному значению
Im = E / R = 1/0,14 = 7,143 Ампер (при t --> бесконечности).
Здесь [$964$] = L / R = 300 мГн / 140 мОм = 2,143 сек - постоянная времени - инерционный параметр RL-цепи .
Искомая зависимость силы тока в катушке от времени показана в ниже-таблице и на графике.
Подробнее см статьи "Постоянная времени" ru.wikipedia.org/wiki/Постоянная_времени ,
"Влияние самоиндукции на ток при замыкании и размыкании цепи, содержащей индуктивность" Ссылка2 ,
"Катушка индуктивности" Ссылка3
5
Это самое лучшее решение!
21.09.2019, 15:29
общий
Спасибо огромное Владимир Николаевич)
Об авторе:
Лучшая увеличительная линза - ноги.
Лучшая увеличительная линза - ноги.
21.09.2019, 15:31
общий
https://rfpro.ru/question/196422
Вот эту помогите пожалуйста)
Вот эту помогите пожалуйста)
Об авторе:
Лучшая увеличительная линза - ноги.
Лучшая увеличительная линза - ноги.
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