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Консультация № 198101
01.04.2020, 10:43
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Здравствуйте! Прошу помощи в следующем вопросе:
Колебательный контур состоит из конденсатора емкостью С = 7 мкФ, соленоида индуктивность L = 20 Гн и сопротивления R = 40 Ом. Конденсатору дано заряд q = 5,6 * 10 ^ -4. Найти значение разности потенциалов на обкладках конденсатора через время t = 21 мс, после начала отсчета времени. Колебания описуються за законом косинуса. Начальная фаза Ф = 0
Колебательный контур состоит из конденсатора емкостью С = 7 мкФ, соленоида индуктивность L = 20 Гн и сопротивления R = 40 Ом. Конденсатору дано заряд q = 5,6 * 10 ^ -4. Найти значение разности потенциалов на обкладках конденсатора через время t = 21 мс, после начала отсчета времени. Колебания описуються за законом косинуса. Начальная фаза Ф = 0
Обсуждение
01.04.2020, 11:44
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На странице rfpro.ru/question/198010 Вы можете изучить Решение задачи, очень похожей на Вашу. Вам остаётся только подставить др числа и вычислить результат. Сами справитесь?
01.04.2020, 11:53
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Адресаты:
Я в физике почти ничего не понимаю. Напишите решение полностью. Заранее большое вам спасибо.
01.04.2020, 13:52
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Распишу Ответ утром. У нас на ДальВостоке уже поздний вечер.
Может, кто другой из экспертов оформит Ответ раньше?
Может, кто другой из экспертов оформит Ответ раньше?
02.04.2020, 14:07
общий
это ответ
Здравствуйте, sasha.zelinskiy1!
Дано: Ёмкость С = 7·10-6 Ф, индуктивность L = 20 Гн, сопротивления R = 40 Ом, заряд q = 5,6·10-4 Кл, момент времени t1 = 0,021 с.
Вычислить напряжение (разность потенциалов) на конденсаторе.
Решение : Собственная частота контура [$969$]0 = 1 / [$8730$](L·C) = 1 / [$8730$](20·7·10-6) = 84,52 рад/сек.
Коэффициент затухания контура [$946$] = R / (2·L) = 40 / (2·20) = 1 рад/сек.
Частота затухающих колебаний [$969$] = [$8730$]([$969$]02 - [$946$]2) = 84,51 рад/сек.
Период затухающих колебаний T = 2·[$960$] / [$969$] = 0,07435 сек = 74,35 мСек.
Начальное напряжение на конденсаторе U0 = q/C = (5,6·10-4) / (7·10-6) = 80 Вольт.
Огибающая амплитуды колебаний Um(t) = U0·e-[$946$]·t = 80·e-t Вольт - спадает по экспоненте.
Напряжение на конденсаторе U(t) = Um(t)·cos([$969$]·t) = 80·e-t·cos(84,51·t) Вольт - затухающая косинусоида.
Напряжение на конденсаторе в момент времени t1=0,021 с будет
U1 = U(t1) = 80·e-t1·cos(84,51·t1) = -15,9 Вольт.
Ответ : Напряжение на конденсаторе в момент времени t1=21 мс будет -16 Вольт.
График функции напряжения на конденсаторе прилагаю.
Формулы взяты из учебно-методических статей "Свободные затухающие электрические колебания" Ссылка1 ,
"Собственные, затухающие и вынужденные колебания в колебат-контуре" Ссылка2
Решение похожей задачи см на rfpro.ru/question/198010
Дано: Ёмкость С = 7·10-6 Ф, индуктивность L = 20 Гн, сопротивления R = 40 Ом, заряд q = 5,6·10-4 Кл, момент времени t1 = 0,021 с.
Вычислить напряжение (разность потенциалов) на конденсаторе.
Решение : Собственная частота контура [$969$]0 = 1 / [$8730$](L·C) = 1 / [$8730$](20·7·10-6) = 84,52 рад/сек.
Коэффициент затухания контура [$946$] = R / (2·L) = 40 / (2·20) = 1 рад/сек.
Частота затухающих колебаний [$969$] = [$8730$]([$969$]02 - [$946$]2) = 84,51 рад/сек.
Период затухающих колебаний T = 2·[$960$] / [$969$] = 0,07435 сек = 74,35 мСек.
Начальное напряжение на конденсаторе U0 = q/C = (5,6·10-4) / (7·10-6) = 80 Вольт.
Огибающая амплитуды колебаний Um(t) = U0·e-[$946$]·t = 80·e-t Вольт - спадает по экспоненте.
Напряжение на конденсаторе U(t) = Um(t)·cos([$969$]·t) = 80·e-t·cos(84,51·t) Вольт - затухающая косинусоида.
Напряжение на конденсаторе в момент времени t1=0,021 с будет
U1 = U(t1) = 80·e-t1·cos(84,51·t1) = -15,9 Вольт.
Ответ : Напряжение на конденсаторе в момент времени t1=21 мс будет -16 Вольт.
График функции напряжения на конденсаторе прилагаю.
Формулы взяты из учебно-методических статей "Свободные затухающие электрические колебания" Ссылка1 ,
"Собственные, затухающие и вынужденные колебания в колебат-контуре" Ссылка2
Решение похожей задачи см на rfpro.ru/question/198010
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