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Консультация № 200309
22.02.2021, 18:06
0.00 руб.
23.02.2021, 03:56
0
3
1
Здравствуйте! У меня возникли сложности с таким вопросом:
Изобразите произвольную схему, состоящую из 3 неидеальных источников и 6 резисторов и имеющую 3 узла и 6 ветвей. Сколько уравнений следует записать по первому правилу Кирхгофа и сколько по второму, чтобы найти все силы токов в цепи, если ЭДС, внутренние сопротивления источников и сопротивления резисторов известны? Запишите эти уравнения (решать их не требуется).
Изобразите произвольную схему, состоящую из 3 неидеальных источников и 6 резисторов и имеющую 3 узла и 6 ветвей. Сколько уравнений следует записать по первому правилу Кирхгофа и сколько по второму, чтобы найти все силы токов в цепи, если ЭДС, внутренние сопротивления источников и сопротивления резисторов известны? Запишите эти уравнения (решать их не требуется).
Обсуждение
25.02.2021, 22:36
общий
это ответ
Здравствуйте, kolotaevaliza2004!
Например, так...
Имеем электрическую цепь:
- три узла (А, В, С);
- шесть ветвей с резисторами от R1 до R6;
- три источника ЭДС (Е1, Е2, Е3) с соответствующими внутренними сопротивлениями (r1, r2, r3).
Значения всех указанных элементов известны.
Имеем шесть неизвестных токов в шести ветвях. Для определения этих токов по законам Кирхгофа необходимо составить всего 6 (шесть) уравнений:
- 2 уравнения по первому закону (для двух любых узлов - например, для узлов А и В);
- и 4 уравнения по второму закону (для любых четырех контуров - например, для контуров I, II, III и IV).
Итак:
По первому закону Кирхгофа
- для узла А: I1+I4+I5-I2=0 (1)
- для узла В: -I1-I3-I4-I6=0 (2)
По второму закону Кирхгофа
- для контура I (обход по час.стрелке): E1+E2-E3=(R1+r1)I1+(R2+r2)I2-(R3+r3)I3 (3)
- для контура II (обход против час.стрелки): E1=(R1+r1)I1-R4I4 (4)
- для контура III (обход против час.стрелки): E2=(R2+r2)I2+R5I5 (5)
- для контура IV (обход по час.стрелке): E3=(R3+r3)I3-R6I6 (6)
получили 6 уравнений с 6-ю неизвестными токами - система решаема.
Удачи
Например, так...
Имеем электрическую цепь:
- три узла (А, В, С);
- шесть ветвей с резисторами от R1 до R6;
- три источника ЭДС (Е1, Е2, Е3) с соответствующими внутренними сопротивлениями (r1, r2, r3).
Значения всех указанных элементов известны.
Имеем шесть неизвестных токов в шести ветвях. Для определения этих токов по законам Кирхгофа необходимо составить всего 6 (шесть) уравнений:
- 2 уравнения по первому закону (для двух любых узлов - например, для узлов А и В);
- и 4 уравнения по второму закону (для любых четырех контуров - например, для контуров I, II, III и IV).
Итак:
По первому закону Кирхгофа
- для узла А: I1+I4+I5-I2=0 (1)
- для узла В: -I1-I3-I4-I6=0 (2)
По второму закону Кирхгофа
- для контура I (обход по час.стрелке): E1+E2-E3=(R1+r1)I1+(R2+r2)I2-(R3+r3)I3 (3)
- для контура II (обход против час.стрелки): E1=(R1+r1)I1-R4I4 (4)
- для контура III (обход против час.стрелки): E2=(R2+r2)I2+R5I5 (5)
- для контура IV (обход по час.стрелке): E3=(R3+r3)I3-R6I6 (6)
получили 6 уравнений с 6-ю неизвестными токами - система решаема.
Удачи
5
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С уважением
shvetski
С уважением
shvetski
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