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Консультация № 199963
22.12.2020, 12:56
0.00 руб.
29.12.2020, 15:40
1
1
1
Здравствуйте! Прошу помощи в следующем вопросе:На рис. 16.1. ε1=1,0 В, ε2=2,0 В, ε3=3,0 В, r1=1,0 Ом, r2=0,5 Ом,
r3=1/3 Ом, R1=1,0 Ом, R3=1/3 Ом. Определите: 1) силы тока во всех
участках цепи; 2) тепловую мощность, которая выделяется на сопротивлении R3.
r3=1/3 Ом, R1=1,0 Ом, R3=1/3 Ом. Определите: 1) силы тока во всех
участках цепи; 2) тепловую мощность, которая выделяется на сопротивлении R3.
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Обсуждение
29.12.2020, 06:38
общий
это ответ
Здравствуйте, liliana0310!
Схема содержит всего два контура, поэтому проще всего составить уравнения для контурных токов на основании второго закона Кирхгофа (в каждом уравнении ток соответствующего контура умножается на его полное сопротивление, а токи остальных контуров - на сопротивление общей с ним ветви, взятое со знаком "минус", знак ЭДС в правой части определяется тем, совпадает ли оно с направлением обхода):
Подставляя исходные данные, получаем
откуда
и I[sub]k1[/sub] = 1 А, I[sub]k2[/sub] = 3 А. Токи ветвей получаются суммированием токов контуров, включающих эту ветвь (с учётом направления обхода): I[sub]1[/sub] = I[sub]k1[/sub] = 1 А, I[sub]2[/sub] = I[sub]k2[/sub] - I[sub]k1[/sub] = 3 - 1 = 2 А, I[sub]3[/sub] = I[sub]k2[/sub] = 3 А. На сопротивлении R[sub]3[/sub] будет выделяться мощность Q = I[sub]3[/sub][sup]2[/sup]R[sub]3[/sub] = 3[sup]2[/sup][$183$]1/3 = 3 Вт.
Схема содержит всего два контура, поэтому проще всего составить уравнения для контурных токов на основании второго закона Кирхгофа (в каждом уравнении ток соответствующего контура умножается на его полное сопротивление, а токи остальных контуров - на сопротивление общей с ним ветви, взятое со знаком "минус", знак ЭДС в правой части определяется тем, совпадает ли оно с направлением обхода):
Подставляя исходные данные, получаем
откуда
и I[sub]k1[/sub] = 1 А, I[sub]k2[/sub] = 3 А. Токи ветвей получаются суммированием токов контуров, включающих эту ветвь (с учётом направления обхода): I[sub]1[/sub] = I[sub]k1[/sub] = 1 А, I[sub]2[/sub] = I[sub]k2[/sub] - I[sub]k1[/sub] = 3 - 1 = 2 А, I[sub]3[/sub] = I[sub]k2[/sub] = 3 А. На сопротивлении R[sub]3[/sub] будет выделяться мощность Q = I[sub]3[/sub][sup]2[/sup]R[sub]3[/sub] = 3[sup]2[/sup][$183$]1/3 = 3 Вт.
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