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Консультация № 173396
18.10.2009, 19:09
0.00 руб.
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Здравствуйте уважаемые эксперты! 
помогите разобраться с задачей:
Три сопротивления R1 = 5 0м, R2 == 1 0м и R3 = 3 0м, а также источник тока с ЭДС Е= 1,4В соединены, как показано на рисунке. Определить ЭДС источника тока, который надо подключить в цепь между точками А и В, чтобы в сопротивлении шел ток силой I = 1 А в направлении, указанном стрелкой. Сопротивлением источника тока пренебречь.
Заранее благодарен!
помогите разобраться с задачей:Три сопротивления R1 = 5 0м, R2 == 1 0м и R3 = 3 0м, а также источник тока с ЭДС Е= 1,4В соединены, как показано на рисунке. Определить ЭДС источника тока, который надо подключить в цепь между точками А и В, чтобы в сопротивлении шел ток силой I = 1 А в направлении, указанном стрелкой. Сопротивлением источника тока пренебречь.
Заранее благодарен!
Обсуждение
21.10.2009, 11:30
общий
это ответ
Здравствуйте, vladimir174.
Удобнее всего решать методом "узлового потенциала". Потенциал общего нижнего провода примем за 0, а потенциал "узла" А обозначим φ. Соответствующие токи I1, I2, I3 условно направим от "узла" к общему нижнему проводу. Тогда I1 = (φ - Е)/R1 (1); I2 = φ/R2 (2); I3 = (φ + Еи)/R3 (3), где Еи - искомая ЭДС (также условно направим её от "узла" к общему нижнему проводу). По 1-му закону Кирхгофа: I1 + I2 + I3 = 0 (4); кроме того, по условию I3 = 1 А (5). Отсюда получаем: (φ - Е)/R1 + φ/R2 + I3 = 0 (6), или в числах: (φ - 1.4)/5 + φ/1 + 1 = 0 (6а), откуда φ = -0.6 В; подставив это значение в (3) и (5), получаем Еи = 3.6 В.
Удобнее всего решать методом "узлового потенциала". Потенциал общего нижнего провода примем за 0, а потенциал "узла" А обозначим φ. Соответствующие токи I1, I2, I3 условно направим от "узла" к общему нижнему проводу. Тогда I1 = (φ - Е)/R1 (1); I2 = φ/R2 (2); I3 = (φ + Еи)/R3 (3), где Еи - искомая ЭДС (также условно направим её от "узла" к общему нижнему проводу). По 1-му закону Кирхгофа: I1 + I2 + I3 = 0 (4); кроме того, по условию I3 = 1 А (5). Отсюда получаем: (φ - Е)/R1 + φ/R2 + I3 = 0 (6), или в числах: (φ - 1.4)/5 + φ/1 + 1 = 0 (6а), откуда φ = -0.6 В; подставив это значение в (3) и (5), получаем Еи = 3.6 В.
5
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