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Консультация № 193900
14.11.2018, 02:55
0.00 руб.
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Здравствуйте! Прошу помощи в решении задачки, заранее спасибо!
Задача:
Определить по графику период, частоту,циклическую частоту, амплитуду силы тока, амплитуду заряда. Написать уравнения i(t), q(t).
Задача:
Определить по графику период, частоту,циклическую частоту, амплитуду силы тока, амплитуду заряда. Написать уравнения i(t), q(t).
Прикрепленные файлы:
Обсуждение
14.11.2018, 06:32
общий
Адресаты:
Если Вы не против, то поработаем над графиком вместе? Или Вы предпочитаете получить готовое решение?
Об авторе:
Facta loquuntur.
Facta loquuntur.
15.11.2018, 14:53
общий
это ответ
Здравствуйте, Agna!
На Вашем графике хорошо видно, что заданный электрический ток состоит из 2х составляющих : Постоянная силой I0=1,20 Ампер и переменная с размахом Iр = 1,25-1,15 = 0,1 Ампер. Переменная составляющая синусоидальной формы имеет амплитуду Im = Iр / 2 = 0,05 Ампер и период 2 клеточки по оси времени, то есть T=4 мкСек.
Сдвиг по фазе соответствует четверти периода вправо. Значит, начальная фаза равна [$966$] = -[$960$]/2 , и тогда заданный ток описывается формулой :
(отрицательная фаза сдвигает синусоиду вправо)
Во многих учебных статьях (например "Электромагнитные колебания. ЕГЭ" ege-study.ru/ru/ege/materialy/fizika/elektromagnitnye-kolebaniya ) доказано, что ток - это производная заряда по времени. Следовательно, искомое уравнение заряда получаем интегрированием из формулы тока :
, где 
- искомая амплитуда заряда.
Дальнейшие вычисления и проверочное графо-построение проводим в бесплатном вычислительном приложении Маткад
Проверка успешна! Скриншоты с вычисленными значениями прилагаю.
На Вашем графике хорошо видно, что заданный электрический ток состоит из 2х составляющих : Постоянная силой I0=1,20 Ампер и переменная с размахом Iр = 1,25-1,15 = 0,1 Ампер. Переменная составляющая синусоидальной формы имеет амплитуду Im = Iр / 2 = 0,05 Ампер и период 2 клеточки по оси времени, то есть T=4 мкСек.
Сдвиг по фазе соответствует четверти периода вправо. Значит, начальная фаза равна [$966$] = -[$960$]/2 , и тогда заданный ток описывается формулой :
(отрицательная фаза сдвигает синусоиду вправо)Во многих учебных статьях (например "Электромагнитные колебания. ЕГЭ" ege-study.ru/ru/ege/materialy/fizika/elektromagnitnye-kolebaniya ) доказано, что ток - это производная заряда по времени. Следовательно, искомое уравнение заряда получаем интегрированием из формулы тока :
, где - искомая амплитуда заряда.Дальнейшие вычисления и проверочное графо-построение проводим в бесплатном вычислительном приложении Маткад
Проверка успешна! Скриншоты с вычисленными значениями прилагаю.
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