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Консультация № 190083
20.11.2016, 15:09
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Помогите пожалуйста с решением задачи… Очень прошу! Определить удельное сопротивление и материал провода, который намотан на катушку, имеющую 500 витков со средним диаметром витка 6 см, если при напряжении 3,20 В допустимая плотность тока 2⋅10^6 А/м2
Помогите пожалуйста с решением задачи… Очень прошу! Определить удельное сопротивление и материал провода, который намотан на катушку, имеющую 500 витков со средним диаметром витка 6 см, если при напряжении 3,20 В допустимая плотность тока 2⋅10^6 А/м2
Обсуждение
22.11.2016, 18:29
общий
это ответ
Здравствуйте, abigail!
Обозначим
- число витков в катушке; 
м - средний диаметр витка в катушке; 
В - напряжение источника, к которому подключена катушка; 
А/м2 - допустимая плотность тока в катушке; 
- площадь поперечного сечения провода катушки; 
- длина провода катушки; 
- ток в катушке; 
- удельное электрическое сопротивление материала провода катушки. Запишем выражение для плотности тока:
откуда получим
(Ом*м).
Учитывая, что плотность тока должна быть меньше допустимой, материал провода катушки должен иметь удельное электрическое сопротивление большее, чем получено расчётом. Выбор материала провода выполняется по таблицам, в которых величины удельных электрических сопротивлений указаны не в Ом*м, а в Ом*мм2/м. Учитывая, что
получим
Ом*мм2/м,
то есть, если верить этой таблице, материалом провода катушки является, скорее всего, медь.
Обозначим
- число витков в катушке; м - средний диаметр витка в катушке; В - напряжение источника, к которому подключена катушка; А/м2 - допустимая плотность тока в катушке; - площадь поперечного сечения провода катушки; - длина провода катушки; - ток в катушке; - удельное электрическое сопротивление материала провода катушки. Запишем выражение для плотности тока:откуда получим
(Ом*м).Учитывая, что плотность тока должна быть меньше допустимой, материал провода катушки должен иметь удельное электрическое сопротивление большее, чем получено расчётом. Выбор материала провода выполняется по таблицам, в которых величины удельных электрических сопротивлений указаны не в Ом*м, а в Ом*мм2/м. Учитывая, что
Ом*мм2/м = Ом*(м*10-3)2/м = Ом*м2*10-6/м = Ом*м*10-6,
получим
Ом*мм2/м,то есть, если верить этой таблице, материалом провода катушки является, скорее всего, медь.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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