Плотность энергии в некоторой точке волнового поля спустя 0,01 с после прохождения максимума синусоидальной волны равна 0,2 от максимальной. Какова частота?
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Объяснение:
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Объяснение:
Дано:
q₁ = 9·10⁻⁶ Кл
q₂ = 1·10⁻⁶ Кл
L = 8 см = 8·10⁻² м
r₁ = ?
Расстояние от второго заряда до искомой точки будет:
r₂ = L - r₁
Векторы напряженности в этой точке противоположны по направлению, а по модулю одинаковы.
Запишем:
E₁ = E₂
k·q₁ / r₁² = k·q₂ / (L-r₁)²
Находим отношение:
E₁ / E₂ = 1
k·q₁ (L-r₁)²/ (k·q₂· r₁²) = 1
Имеем:
(L-r₁)²/ r₁² = q₂ / q₁
Извлекаем корень:
(L-r₁)/ r₁ = √ (q₂ / q₁)
Подставим данные:
(0,08 - r₁)/ r₁ = √ (1·10⁻⁶/9·10⁻⁶)
0,08 / r₁ - 1 = 1/3
0,08 / r₁ = 4/3
r₁ = 3·0,08/4
r₁ = 0,06 м или 6 см