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Консультация № 194069
02.12.2018, 14:25
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1
Здравствуйте! У меня возникли сложности с таким вопросом:
Определить объемную плотность энергии магнитного поля в
центре витка радиусом R = 8 см, по которому течет ток i = 3 А.
Определить объемную плотность энергии магнитного поля в
центре витка радиусом R = 8 см, по которому течет ток i = 3 А.
Обсуждение
02.12.2018, 16:23
общий
02.12.2018, 16:25
Адресаты:
Задача, очень похожая на Вашу, решена на https://rfpro.ru/question/191382 .
Вам осталось повторить расчёт, заменив значения радиуса, тока и количества витков (500 витков на 1).
Вам осталось повторить расчёт, заменив значения радиуса, тока и количества витков (500 витков на 1).
04.12.2018, 12:30
общий
это ответ
Здравствуйте, lenocvol!
Магнитную индукцию в центре кругового витка с током I проще всего вычислить по формуле
B = µ0 * I / (2R) , где R - радиус витка, µ0 = 4[$960$]·10-7 Гн/м - магнитная постоянная (см "Формулы индукции магнитного поля" ru.solverbook.com/spravochnik/formuly-po-fizike/formula-indukcii-magnitnogo-polya , rfpro.ru/question/191382 …)
Объёмная плотность энергии магнитного поля с индукцией B вычисляется по формуле w = B2 / ( 2µ0 ) (из ru.wikipedia.org/wiki/Магнитная_индукция )
Подставим выражение индукции в формулу плотности, получим искомую объемную плотность энергии :
w = (µ0 * I / (2R))2 / ( 2µ0 ) = µ0 * I2 / (8R2) = 2,209 * 10-4 Дж/м3 = 0,221 мДж/м3
Магнитную индукцию в центре кругового витка с током I проще всего вычислить по формуле
B = µ0 * I / (2R) , где R - радиус витка, µ0 = 4[$960$]·10-7 Гн/м - магнитная постоянная (см "Формулы индукции магнитного поля" ru.solverbook.com/spravochnik/formuly-po-fizike/formula-indukcii-magnitnogo-polya , rfpro.ru/question/191382 …)
Объёмная плотность энергии магнитного поля с индукцией B вычисляется по формуле w = B2 / ( 2µ0 ) (из ru.wikipedia.org/wiki/Магнитная_индукция )
Подставим выражение индукции в формулу плотности, получим искомую объемную плотность энергии :
w = (µ0 * I / (2R))2 / ( 2µ0 ) = µ0 * I2 / (8R2) = 2,209 * 10-4 Дж/м3 = 0,221 мДж/м3
5
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