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Консультация № 196462
27.09.2019, 06:05
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1
Здравствуйте! У меня возникли сложности с таким вопросом:
В вершинах квадрата со стороной 20 см расположены один отрицательный и три положительных точечных заряда одинаковой величины q = 10 мкКл. Определить напряженность и потенциал электрического поля в центре квадрата.
В вершинах квадрата со стороной 20 см расположены один отрицательный и три положительных точечных заряда одинаковой величины q = 10 мкКл. Определить напряженность и потенциал электрического поля в центре квадрата.
Обсуждение
28.09.2019, 17:42
общий
это ответ
Здравствуйте, dar777!
Напряжённость
электрического поля системы точечных зарядов равна векторной сумме напряжённостей полей, создаваемых каждым из этих зарядов в отдельности [1, с. 344]:
Из рисунка в прикреплённом файле видно, что
а так как
то, в соответствии с формулой на странице 346 [1],
где
Кл/(Н*м2) -- электрическая постоянная [1, с. 342]; 
-- относительная диэлектрическая проницаемость среды в рассматриваемой точке поля [1, с. 345] (для вакуума 
); 
-- расстояние от точечного заряда до рассматриваемой точки поля (в Вашем случае это расстояние равно половине длины диагонали квадрата с длиной стороны, равной 
то есть 
; при этом 
). Значит, искомая величина напряжённости электрического поля составляет
(В/м).
Вектор направлен от центра квадрата к отрицательному заряду.
Потенциал
поля системы точечных зарядов (при условии 
) равен алгебраической сумме потенциалов всех зарядов:
Учитывая, что
получим, что
[1, с. 354],
(В).
Литература
1. Яворский Б. М., Детлаф А. А. Справочник по физике для инженеров и студентов вузов. -- М.: Наука, 1977. -- 944 с.
Напряжённость
электрического поля системы точечных зарядов равна векторной сумме напряжённостей полей, создаваемых каждым из этих зарядов в отдельности [1, с. 344]:Из рисунка в прикреплённом файле видно, что
а так как
то, в соответствии с формулой на странице 346 [1],где
Кл/(Н*м2) -- электрическая постоянная [1, с. 342]; -- относительная диэлектрическая проницаемость среды в рассматриваемой точке поля [1, с. 345] (для вакуума ); -- расстояние от точечного заряда до рассматриваемой точки поля (в Вашем случае это расстояние равно половине длины диагонали квадрата с длиной стороны, равной то есть ; при этом ). Значит, искомая величина напряжённости электрического поля составляет (В/м).Вектор
направлен от центра квадрата к отрицательному заряду.Потенциал
поля системы точечных зарядов (при условии ) равен алгебраической сумме потенциалов всех зарядов:Учитывая, что
получим, что [1, с. 354], (В).Литература
1. Яворский Б. М., Детлаф А. А. Справочник по физике для инженеров и студентов вузов. -- М.: Наука, 1977. -- 944 с.
Прикрепленные файлы:
5
Это самое лучшее решение!
Об авторе:
Facta loquuntur.
Facta loquuntur.
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