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Консультация № 189378
16.05.2016, 09:07
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Расстояние между двумя параллельно расположенными бесконечно длинными металлическими нитями составляет 10 см. Одна нить заряжена с линейной плотностью 6∙10-5 Кл/м, вторая -3∙10-5 Кл/м. Найти напряженность поля в точке, удаленной на расстояние 10 см от каждой нити. Решение сопроводить рисунком. благодарю за понимание
Расстояние между двумя параллельно расположенными бесконечно длинными металлическими нитями составляет 10 см. Одна нить заряжена с линейной плотностью 6∙10-5 Кл/м, вторая -3∙10-5 Кл/м. Найти напряженность поля в точке, удаленной на расстояние 10 см от каждой нити. Решение сопроводить рисунком. благодарю за понимание
Обсуждение
20.05.2016, 22:40
общий
это ответ
Здравствуйте, snudentura!
Бесконечная нить с линейной плотностью заряда [$955$] создаёт на расстоянии r напряжённость электрического поля
E=[$955$]/2[$960$][$949$]0r
направленную от нити.
Напряжённости от нескольких заряженных объектов складываются векторно.
С учётом углов, находим проекции напряжённости на координатные оси:
Ex=|E1|[$183$]cos[$945$]+|E2|[$183$]cos[$945$]=([$955$]1-[$955$]2)cos[$945$]/2[$960$][$949$]0r=
=(9[$183$]10-5Кл/м[$183$]cos60[$176$])/(2[$183$][$960$][$183$]8,85[$183$]10-12Ф/м[$183$]0,1м)=8,09[$183$]106 В/м
Ey=|E1|[$183$]sin[$945$]-|E2|[$183$]sin[$945$]=([$955$]1+[$955$]2)sin[$945$]/2[$960$][$949$]0r=
=(3[$183$]10-5Кл/м[$183$]sin60[$176$])/(2[$183$][$960$][$183$]8,85[$183$]10-12Ф/м[$183$]0,1м)=4,67[$183$]106 В/м
Модуль вектора |E|=[$8730$](Ex2+Ey2)=9,3[$183$]106 В/м=9,3 МВ/м
Бесконечная нить с линейной плотностью заряда [$955$] создаёт на расстоянии r напряжённость электрического поля
E=[$955$]/2[$960$][$949$]0r
направленную от нити.
Напряжённости от нескольких заряженных объектов складываются векторно.
С учётом углов, находим проекции напряжённости на координатные оси:
Ex=|E1|[$183$]cos[$945$]+|E2|[$183$]cos[$945$]=([$955$]1-[$955$]2)cos[$945$]/2[$960$][$949$]0r=
=(9[$183$]10-5Кл/м[$183$]cos60[$176$])/(2[$183$][$960$][$183$]8,85[$183$]10-12Ф/м[$183$]0,1м)=8,09[$183$]106 В/м
Ey=|E1|[$183$]sin[$945$]-|E2|[$183$]sin[$945$]=([$955$]1+[$955$]2)sin[$945$]/2[$960$][$949$]0r=
=(3[$183$]10-5Кл/м[$183$]sin60[$176$])/(2[$183$][$960$][$183$]8,85[$183$]10-12Ф/м[$183$]0,1м)=4,67[$183$]106 В/м
Модуль вектора |E|=[$8730$](Ex2+Ey2)=9,3[$183$]106 В/м=9,3 МВ/м
Форма ответа
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