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Консультация № 189909
19.10.2016, 23:09
0.00 руб.
1
3
1
Здравствуйте! Не понимаю, как дорешать задачи, условия которых на картинке
В первой у меня получается:
I3=-I1-I2=-6√2 [cos30+jsin30+cos45+jsin(-45)] = -6√2 [√3/2+√2/2 + j(1/2-√2/2)] = -3√6-6 - j(3√2-6)
Получается ли из этого (3√2-6)e^(-j90)? А чем тогда служит (-3√6-6)?
Во второй такая же проблема, только числа "покрасивее":
U3=U1-U2=70 [cos(-30)+jsin(-30)-cos(150)-jsin(150)] = 70 [√3/2 + √3/2 + j(-1/2-1/2)] = 70 [√3 - j] = 70√3 - 70j
В первой у меня получается:
I3=-I1-I2=-6√2 [cos30+jsin30+cos45+jsin(-45)] = -6√2 [√3/2+√2/2 + j(1/2-√2/2)] = -3√6-6 - j(3√2-6)
Получается ли из этого (3√2-6)e^(-j90)? А чем тогда служит (-3√6-6)?
Во второй такая же проблема, только числа "покрасивее":
U3=U1-U2=70 [cos(-30)+jsin(-30)-cos(150)-jsin(150)] = 70 [√3/2 + √3/2 + j(-1/2-1/2)] = 70 [√3 - j] = 70√3 - 70j
Прикрепленные файлы:
Обсуждение
20.10.2016, 08:46
общий
Здравствуйте.
При решении данной задачи применяется символический метод (метод комплексных амплитуд). Мгновенное значение тока (напряжения) заменятся его действующим (амплитудным) комплексным значением. Далее расчеты проводятся для комплексных чисел. При сложении (вычитании) нужно комплексное число перевести из показательной формы в алгебраическую. Полученный ответ в алгебраической форме нужно перевести в показательную, а по ней получить мгновенное значение.
работу с комплексными числами удобно проводить в программе ComplexCalc (андроид).
Физический смысл имеют мгновенные значения (осциллограмма сигнала) и действующие значения (показание измерительного прибора).
При решении данной задачи применяется символический метод (метод комплексных амплитуд). Мгновенное значение тока (напряжения) заменятся его действующим (амплитудным) комплексным значением. Далее расчеты проводятся для комплексных чисел. При сложении (вычитании) нужно комплексное число перевести из показательной формы в алгебраическую. Полученный ответ в алгебраической форме нужно перевести в показательную, а по ней получить мгновенное значение.
работу с комплексными числами удобно проводить в программе ComplexCalc (андроид).
Физический смысл имеют мгновенные значения (осциллограмма сигнала) и действующие значения (показание измерительного прибора).
Прикрепленные файлы:
21.10.2016, 19:45
общий
это ответ
Здравствуйте, АнтонНР!
Коснусь только математической составляющей Вашего задания.
Если Вы выполните рисунок, на котором в масштабе на комплексной плоскости изобразите равнобедренный треугольник, бёдрами которого являются векторы
и 
а основанием их сумма, то, применив теорему косинусов, увидите, что
Тогда
Во втором случае
Коснусь только математической составляющей Вашего задания.
Если Вы выполните рисунок, на котором в масштабе на комплексной плоскости изобразите равнобедренный треугольник, бёдрами которого являются векторы
и а основанием их сумма, то, применив теорему косинусов, увидите, чтоТогда
Во втором случае
Об авторе:
Facta loquuntur.
Facta loquuntur.
Форма ответа
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