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Консультация № 190904
22.04.2017, 16:56
0.00 руб.
0
2
1
Здравствуйте! Прошу помощи в следующем вопросе:
Помогите решить задачи по электростатике
4ую задачу и с 6 по 12.
Помогите решить задачи по электростатике
4ую задачу и с 6 по 12.
Обсуждение
23.04.2017, 09:11
общий
это ответ
Здравствуйте, 33korovy!
Выполним рисунок, на котором покажем шарики в положении равновесия и силы, действующие на левый шарик.
Запишем векторное уравнение равновесия левого шарика:
где
- сила тяжести, 
- кулоновская сила, 
- сила реакции нити. Спроецируем это уравнение на координатные оси. Получим
Из уравнения
получим выражение для величины силы реакции нити
и после подстановки в уравнение
- выражение для величины кулоновской силы
откуда
где
Н*м2/Кл2 - электрическая постоянная, 
- заряд шарика.
Обозначим длину нити через
Тогда
и после подстановки в уравнение
будем иметь
После подстановки в уравнение
числовых значений известных величин получим
В уравнении
обозначим 
и решим кубическое уравнение
Чтобы не тратить время на решение уравнения
воспользуемся, например, этим сервисом. Получим единственный вещественный корень 
м, откуда 
(м) - искомое расстояние.
Я предлагаю Вам проверить расчёты во избежание ошибок. Возможно, есть менее громоздкое решение задачи. Попробуйте тогда найти его сами.
Выполним рисунок, на котором покажем шарики в положении равновесия и силы, действующие на левый шарик.
Запишем векторное уравнение равновесия левого шарика:
где
- сила тяжести, - кулоновская сила, - сила реакции нити. Спроецируем это уравнение на координатные оси. ПолучимИз уравнения
получим выражение для величины силы реакции нитии после подстановки в уравнение
- выражение для величины кулоновской силыоткуда
где
Н*м2/Кл2 - электрическая постоянная, - заряд шарика.Обозначим длину нити через
Тогдаи после подстановки в уравнение
будем иметьПосле подстановки в уравнение
числовых значений известных величин получимВ уравнении
обозначим и решим кубическое уравнениеЧтобы не тратить время на решение уравнения
воспользуемся, например, этим сервисом. Получим единственный вещественный корень м, откуда (м) - искомое расстояние.Я предлагаю Вам проверить расчёты во избежание ошибок. Возможно, есть менее громоздкое решение задачи. Попробуйте тогда найти его сами.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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