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Консультация № 196594
07.10.2019, 10:48
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Электрический изолированный металлический лист площадью S = 2 м^2 расположен параллельно металлической плите на расстоянии 0,1 см. При каком электрическом заряде, сообщённом листу, возможно появление электрической искры и пожара? Считать, что в данных условиях электрический пробой возникает при напряжённости электрического поля
Е0=15 кВ/см.
Электрический изолированный металлический лист площадью S = 2 м^2 расположен параллельно металлической плите на расстоянии 0,1 см. При каком электрическом заряде, сообщённом листу, возможно появление электрической искры и пожара? Считать, что в данных условиях электрический пробой возникает при напряжённости электрического поля
Е0=15 кВ/см.
Обсуждение
09.10.2019, 14:42
общий
это ответ
Здравствуйте, dar777!
Дано : Площадь листа S = 2 м2 , расстояние между обкладками d = 1·10-3 м ,
Напряжение пробоя Е0 = 15 кВ/см = 15·105 В/м . Вычислить заряд листа q .
Решение : Металлические лист и плита - это плоский конденсатор. Электро-ёмкость плоского конденсатора вычисляем по формуле:
C = [$949$]·[$949$]0·S/d = 1.771·10-8 Фарад.
Здесь [$949$]=1 - относительная диэлектрическая проницаемость воздушного диэлектрика (м-ду пластинами),
[$949$]0 = 8,854187817·1012 Ф/м - электрическая постоянная,
S = 2 м2 - площадь каждой пластины конденсатора (она же - площадь листа),
d = 1·10-3 м - расстояние между обкладками (листами).
Напряжение между обкладками, соответствующее пробойной напряжённости
U = Е0·d = 1.5·103 Вольт.
Искомый заряд конденсатора q = C·U = 2,656·10-5 Кулон.
Ответ : появление электрической искры возможно при заряде пластины 27 мкКл .
Формулы взяты из учебной статьи "Электроёмкость. Конденсаторы" Ссылка1
Дано : Площадь листа S = 2 м2 , расстояние между обкладками d = 1·10-3 м ,
Напряжение пробоя Е0 = 15 кВ/см = 15·105 В/м . Вычислить заряд листа q .
Решение : Металлические лист и плита - это плоский конденсатор. Электро-ёмкость плоского конденсатора вычисляем по формуле:
C = [$949$]·[$949$]0·S/d = 1.771·10-8 Фарад.
Здесь [$949$]=1 - относительная диэлектрическая проницаемость воздушного диэлектрика (м-ду пластинами),
[$949$]0 = 8,854187817·1012 Ф/м - электрическая постоянная,
S = 2 м2 - площадь каждой пластины конденсатора (она же - площадь листа),
d = 1·10-3 м - расстояние между обкладками (листами).
Напряжение между обкладками, соответствующее пробойной напряжённости
U = Е0·d = 1.5·103 Вольт.
Искомый заряд конденсатора q = C·U = 2,656·10-5 Кулон.
Ответ : появление электрической искры возможно при заряде пластины 27 мкКл .
Формулы взяты из учебной статьи "Электроёмкость. Конденсаторы" Ссылка1
5
Это самое лучшее решение!
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