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Консультация № 138138
27.05.2008, 17:57
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Две катушки с индуктивностями 5 и 3 мГ включены последовательно и расположены так, что их магнитные поля взаимноусиливают друг друга. Индуктивность этой системы оказалась 11 мГ. Чему равна взаимная индуктивность?
Помогите, пожалуйста...
Помогите, пожалуйста...
Обсуждение
28.05.2008, 08:42
общий
это ответ
Здравствуйте, Korablestroitel!
Когда магнитные поля катушек взаимноусиливают друг друга (такое включение называется "согласным"), полная индуктивность этой системы L<sub>с</sub> определяется по формуле (доказательство см. <a href=http://ets.ifmo.ru/tolmachev/et1/ET1_7/text.htm><b>здесь</b></a>): L<sub>с</sub> = L<sub>1</sub> + L<sub>2</sub> + 2*M (1), где L<sub>1</sub> и L<sub>2</sub> - индуктивности соответственно 1-й и 2-й катушек, M - их взаимная индуктивность. Отсюда M = (L<sub>с</sub> - L<sub>1</sub> - L<sub>2</sub>)/2 = (11 - 5 - 3)/2 = 1.5 мГ.
Когда магнитные поля катушек взаимноусиливают друг друга (такое включение называется "согласным"), полная индуктивность этой системы L<sub>с</sub> определяется по формуле (доказательство см. <a href=http://ets.ifmo.ru/tolmachev/et1/ET1_7/text.htm><b>здесь</b></a>): L<sub>с</sub> = L<sub>1</sub> + L<sub>2</sub> + 2*M (1), где L<sub>1</sub> и L<sub>2</sub> - индуктивности соответственно 1-й и 2-й катушек, M - их взаимная индуктивность. Отсюда M = (L<sub>с</sub> - L<sub>1</sub> - L<sub>2</sub>)/2 = (11 - 5 - 3)/2 = 1.5 мГ.
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