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Консультация № 191389
27.09.2017, 17:13
0.00 руб.
1
1
1
Определить силу тока в сопротивлении R3, если значение ЭДС Е1 = 6В, Е2 = 8 В, R1 = 14 Ом, R2 = 8 Ом, R3 = 6 Ом. Внутренним сопротивлением источников тока пренебречь.
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Обсуждение
29.09.2017, 10:11
общий
это ответ
Здравствуйте, AlexMSI!
[offtop]Заметим, что если внутренним сопротивлением источника электрической энергии можно пренебречь, то его считают источником ЭДС. А источником тока считают такой источник, внутреннее сопротивление которого значительно больше сопротивления нагрузки.[/offtop]
На схеме имеется два узла, между которыми включен резистор
и три ветви: первая включает в себя 
вторая - 
третья - 
Примем, что токи 
в первой и третьей ветвях направлены к верхнему узлу, а ток 
во второй ветви - от верхнего узла. Тогда по первому закону Кирхгофа для верхнего узла получим
По второму закону Кирхгофа получим
для контура, состоящего из
для контура, состоящего из
Решая систему линейных уравнений
методом Гаусса, получим
(А).
Знак "минус" в ответе показывает, что в действительности ток
направлен от верхнего узла.
Выкладки, связанные с методом Гаусса, я опустил, чтобы не загромождать ответ на Ваш вопрос. Вы можете воспроизвести их самостоятельно или вычислить другим способом, например, по формулам Крамера.
[offtop]Заметим, что если внутренним сопротивлением источника электрической энергии можно пренебречь, то его считают источником ЭДС. А источником тока считают такой источник, внутреннее сопротивление которого значительно больше сопротивления нагрузки.[/offtop]
На схеме имеется два узла, между которыми включен резистор
и три ветви: первая включает в себя вторая - третья - Примем, что токи в первой и третьей ветвях направлены к верхнему узлу, а ток во второй ветви - от верхнего узла. Тогда по первому закону Кирхгофа для верхнего узла получимПо второму закону Кирхгофа получим
для контура, состоящего из
для контура, состоящего из
Решая систему линейных уравнений
методом Гаусса, получим (А).Знак "минус" в ответе показывает, что в действительности ток
направлен от верхнего узла.Выкладки, связанные с методом Гаусса, я опустил, чтобы не загромождать ответ на Ваш вопрос. Вы можете воспроизвести их самостоятельно или вычислить
другим способом, например, по формулам Крамера.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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