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Консультация № 180256
10.10.2010, 12:16
0.00 руб.
10.10.2010, 13:53
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1
1
Доброго дня! Пожалуйста помогите решить:
Определить заряд на пластинах плоского конденсатора в идеальном контуре Томсона в момент времени t = п/4 мс, если при t = 0 заряд q0 = 10-2 Кл, а дифференциальное уравнение электромагнитных колебаний имеет вид: q" + 106 ∙ q = 0.
Определить заряд на пластинах плоского конденсатора в идеальном контуре Томсона в момент времени t = п/4 мс, если при t = 0 заряд q0 = 10-2 Кл, а дифференциальное уравнение электромагнитных колебаний имеет вид: q" + 106 ∙ q = 0.
Обсуждение
10.10.2010, 17:51
общий
это ответ
Здравствуйте, Ankden.
Дано: q0 = 10-2 Кл, t = π/4 ∙ 10-3 с.
Определить: qt.
Как следует из дифференциального уравнения в условии задачи, круговая частота колебаний в контуре
ω0 = √(106) = 1000 (с-1). Тогда, полагая, что начальная фаза φ = 0, находим
qt = q0 ∙ cos (ω0t + φ) = 10-2 ∙ cos (1000 ∙ π/4 ∙ 10-3) = 10-2/√2 ≈ 7,1 ∙ 10-3 (Кл) = 7,1 мКл.
Ответ: 7,1 мКл.
С уважением.
Дано: q0 = 10-2 Кл, t = π/4 ∙ 10-3 с.
Определить: qt.
Как следует из дифференциального уравнения в условии задачи, круговая частота колебаний в контуре
ω0 = √(106) = 1000 (с-1). Тогда, полагая, что начальная фаза φ = 0, находим
qt = q0 ∙ cos (ω0t + φ) = 10-2 ∙ cos (1000 ∙ π/4 ∙ 10-3) = 10-2/√2 ≈ 7,1 ∙ 10-3 (Кл) = 7,1 мКл.
Ответ: 7,1 мКл.
С уважением.
5
Спасибо!!!
Об авторе:
Facta loquuntur.
Facta loquuntur.
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