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По какой формуле вычисляется напряженность электрического поля точечного заряда?_ -*A*: +*A*: Из определения напряжения электрического поля можно получить выражение для поля точечного заряда (для напряженности в произвольной точке). Для этого заменяем в законе Кулона: $q_1 = q, space q_2 = q'$ и получим: + +$ +arrow(E) = k frac(q, r^2) dot frac(arrow(r), r). +$ #line(length: 100%) *Q*: _*5*. Сформулируйте принцип суперпозиции для вектора $arrow(E)$._ -*A*: +*A*: Из свойства электрического поля (независимость взаимодействий заядов) следует принцип суперпозиции (наложения) электрических полей: $arrow(E) ( arrow(r) ) = sum arrow(E)_i (arrow(r))$, где $arrow(E)_i (arrow(r))$ - напряженность в точке $arrow(r)$, создаваемая $i$-й частью системы зарядов назависимо от наличия других частей. Для системы точечных зарядов формула выше переходит в + +$ +arrow(E) = k sum frac(q_i, r_i^2) dot frac(arrow(r)_i, r_i) +$ + +где $arrow(r)_i$ - радиус-вектор, проведенный из точки нахождения заряда в интересующую нас точку. #line(length: 100%) *Q*: _*6*. Дайте определение потока вектора $arrow(E).$_ + +*A*: *Поток вектора* $arrow(E)$. Для удобства представим, что густота силовых линий равна $E$. Тогда число линий, пронизывающих площадку $d S$ (см. рис.) с нормалью $arrow(n)$ равна $E d S cos alpha$. Это число равно потоку $d Phi$ вектора $arrow(E)$ сквозь площадку $d S$. -*A*: +#align(center)[#image("assets/1.png")] + +Если ввести вектор ж #line(length: 100%) *Q*: _*7*. Сформулируйте теорему Гаусса в интегральной форме._