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Здравствуйте, уважаемые эксперты!!! Обращаюсь к вам уже не первый раз, СПАСИБО вам за вашу помощь!!! В очередной раз хочу уточнить правильность начала решения задачи, а то порой берут сомнения.
Подскажите, пожалуйста, сколько здесь токов: 4 или 5? Правильно ли составлена система уравнений? И нужно ли ставить точку над буквой I?
Заранее благодарю!!!
Обсуждение
Неизвестный
29.10.2010, 11:14
общий
Простите,это решение к другой задаче. Вот система для этой схемы: http://s013.radikal.ru/i325/1010/41/d93baccd5206.jpg здесь
Караман Ольга: Здравствуйте, Ольга. Согласно Ваших обозначений: I3 и I4 - это один и тот же ток (можно обозначить I3) Также I5 и I1 - один и тот же ток (можно обозначить I1). Таким образом, в вашей схеме всего 3 тока: ток I1, который в точке 1 разделяется на два тока I2 и I3, которые затем снова сходятся в точке 3 в ток I1. Одно из уравнений системы, согласно 1 закону Кирхгофа I1=I2+I3 (первое уравнение в вашем решении), а вот второе уравнение лишнее. В вашей схеме всего два узла: узел 1 и узел 3. Для решения достаточно составить только одно уравнение по первому закону Кирхгофа. (Количество уравнений, которое необходимо составить по I з.К. = Количество узлов минус 1. В вашем случае 2 узла -1 = 1 уравнение. Аналогично и количество уравнений по 2 з.К. должно быть на одно меньше, чем количество контуров. У вас 3 контура - должно быть 2 уравнения по 2 з.К.)
Об авторе:
С уважением shvetski
Неизвестный
29.10.2010, 16:24
общий
Получается последние 2 уравнения в системе уравнений по 2 з.К. неправильны? Если соответственно I3 заменить на I4.
Караман Ольга: Если поставите точки над I и над Е, то не надо нигде писать j В последнем уравнении в первом слагаемом надо поменять "-" на "+", потому что направление обхода контура совпадает с направлением тока I3 и в 4-м слагаемом замените у тока индекс "4" на "3" Тогда получается: - I2*XL2 - I2*R2 + I3*XC3 + I3*R3 = 0
А в предпоследнем уравнении, если взять контур с Е, С1, R1, L2, R2, должны получиться везде плюсы, только добавить нужно I2*XL2 и I2*R2. Тогда получится так: I1*XC1 + I1*R1 + I2*XL2 + I2*R2 = E
Об авторе:
С уважением shvetski
Неизвестный
29.10.2010, 17:06
общий
Все понятно. Спасибо.
Неизвестный
29.10.2010, 17:11
общий
В уравнении: -I1+I2+I3=0 тоже ставятся точки над I?
Здравствуйте, Караман Ольга! Решение В схеме всего три тока (ток I3 = I4) Составим систему уравнений. I1 - I2 - I3 = 0 (1-й з.К. для узла 1) E = I1*XC1 + I1*R1 + I2*XL2 + I2*R2 (по 2-му з.К. для первого контура) 0 = - I2*XL2 - I2*R2 + I3*XC3 + I3*R3 (по 2-му з.К. для второго контура) Над всеми I и Е ставим точки - эта запись будет означать, что мы используем комплексные величины.
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