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Теоретический минимум эл магнетизм. Закон Кулона f сила взаимодействия двух
Электричество и магнетизм. Теоретический минимум.
№
| Вопрос
| Формула
| Размерность
| Пояснения, определения
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| Электричество.
| 1
| Закон Кулона
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)
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)
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)
| F — сила взаимодействия двухточечных зарядов , направленная вдоль линии, соединяющей заряды, одноимённые заряды отталкиваются, разноимённые - притягиваются;
r — расстояние между зарядами;
— диэлектрическая проницаемость среды (для вакуума =1, для воздуха =1,0003 1 ) - безразмерная величина, показывающая, во сколько раз взаимодействие между зарядами в однородной среде меньше, чем в вакууме;
- коэффициент пропорциональности;
— электрическая постоянная.
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