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Консультация № 186969
18.12.2012, 21:04
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Начертить схему электрической цепи (рис.1.1) по данным из табл. 1.1, составить уравнения по законам Кирхгофа. Знаком «+» обозначены имеющиеся в схеме источники электродвижущих сил, остальные источников в схеме отсутствуют. Знаком «-» обозначен резистор, ветка с которым отсутствует в схеме.
Табл 1.1
Начертить схему электрической цепи (рис.1.1) по данным из табл. 1.1, составить уравнения по законам Кирхгофа. Знаком «+» обозначены имеющиеся в схеме источники электродвижущих сил, остальные источников в схеме отсутствуют. Знаком «-» обозначен резистор, ветка с которым отсутствует в схеме.
Табл 1.1
Обсуждение
26.12.2012, 19:42
общий
это ответ
Здравствуйте, Петров Максим Георгиевич!
Схема содержит 4 узла и 3 контура. Можно записать 3 уравнения (для всех узлов, кроме одного) по первому закону Кирхгофа: сумма токов в узле равна нулю, если токи входящие в узел и выходящие из него берутся с разными знаками (обычно входящие токи берутся со знаком "-", а выходящие - со знаком "+"). Еще 3 уравнения (для всех контуров) можно записать по второму закону Кирхгофа: сумма падений напряжения в контуре равна сумме ЭДС, если берутся разные знаки для токов и ЭДС, совпадающих с направлением обхода контура и противоположных ему (обычно совпадающие берутся со знаком "+", остальные - со знаком "-").
Выберем направление обхода контуров по часовой стрелке и запишем систему из 6 уравнений:
Так как E[sub]1[/sub] = E[sub]2[/sub] = E[sub]6[/sub] = 0 и R[sub]6[/sub] = 0, то система будет иметь вид:
Схема содержит 4 узла и 3 контура. Можно записать 3 уравнения (для всех узлов, кроме одного) по первому закону Кирхгофа: сумма токов в узле равна нулю, если токи входящие в узел и выходящие из него берутся с разными знаками (обычно входящие токи берутся со знаком "-", а выходящие - со знаком "+"). Еще 3 уравнения (для всех контуров) можно записать по второму закону Кирхгофа: сумма падений напряжения в контуре равна сумме ЭДС, если берутся разные знаки для токов и ЭДС, совпадающих с направлением обхода контура и противоположных ему (обычно совпадающие берутся со знаком "+", остальные - со знаком "-").
Выберем направление обхода контуров по часовой стрелке и запишем систему из 6 уравнений:
Так как E[sub]1[/sub] = E[sub]2[/sub] = E[sub]6[/sub] = 0 и R[sub]6[/sub] = 0, то система будет иметь вид:
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