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Консультация № 136952
15.05.2008, 15:20
0.00 руб.
0
2
2
Определить заряд, прошедший по резистору за 10сек, если сила тока в резисторе за это время равномерно возросла от 0 до 5 Ампер.
Приложение:
Заранее спасибо
Приложение:
Заранее спасибо
Обсуждение
15.05.2008, 15:47
общий
это ответ
Здравствуйте, Leonidre!
Для подобных случаев подходит формула q=t*I/2=25 Кл
Приложение:
Подобная зависимость доказывается интегрированием. Один из вариантов - графический: по оси Х - время, по У - сила тока. Площадь ограниченного гафиком треугольника численно равна заряду.
Для подобных случаев подходит формула q=t*I/2=25 Кл
Приложение:
Подобная зависимость доказывается интегрированием. Один из вариантов - графический: по оси Х - время, по У - сила тока. Площадь ограниченного гафиком треугольника численно равна заряду.
Неизвестный
20.05.2008, 14:38
общий
это ответ
Здравствуйте, Leonidre!
Ваша задача может быть решена следующим образом : по определению, величина заряда, прошедшего через проводник за определённый промежуток времени, равна интегралу по времени от силы тока. Согласно условию, сила тока изменяется равномерно, т.е. представляет собой линейную функцию времени : I = kt, где k - коэффициент пропорциональности. Очевидно, что k = I / t. Тогда q = Int [I*dt] = Int [k*t*dt] = (k*t^2)/2 = ((I/t)*t^2)/2 = I*t/2 = (5А*10с) / 2 = 25 Кл.
Ваша задача может быть решена следующим образом : по определению, величина заряда, прошедшего через проводник за определённый промежуток времени, равна интегралу по времени от силы тока. Согласно условию, сила тока изменяется равномерно, т.е. представляет собой линейную функцию времени : I = kt, где k - коэффициент пропорциональности. Очевидно, что k = I / t. Тогда q = Int [I*dt] = Int [k*t*dt] = (k*t^2)/2 = ((I/t)*t^2)/2 = I*t/2 = (5А*10с) / 2 = 25 Кл.
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