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Консультация № 183069
06.05.2011, 00:34
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Здравствуйте! Прошу помощи в следующем вопросе:
Огромное спасибо
Огромное спасибо
Обсуждение
06.05.2011, 02:39
общий
это ответ
Здравствуйте, Лобанова Наиля Валентиновна!
Резисторы R2 и R3 соединены параллельно; их эквивалентное сопротивление R23 = R2*R3/(R2 + R3) = 70*30(70 + 30) = 21 Ом. Сопротивление R23 соединено последовательно с резистором R4; их суммарное сопротивление R234 = R23 + R4 = 21 +19 = 40 Ом; сопротивление R234 соединено параллельно с резистором R1; общее эквивалентное сопротивление Rэ = R234*R1/(R234 + R1) = 40*60(40 + 60) = 24 Ом. Напряжение U12 = I0*Rэ = 100*10-3*24 = 2.4 В. Проверяем по з-нам Кирхгофа. Ток I1 = U12/R1 = 2.4/60 = 0.04 А. Тогда по 1-му з-ну Кирхгофа: I0 = I1 + I4, откуда I4 = I0 - I1 = 0.100 - 0.04 = 0.06 А. Падение напряжения на резисторе R4: U4 = I4*R4 = 0.06*19 = 1.14 В. Тогда по 2-му з-ну Кирхгофа: U12 = U4 + U23, где U23 - общее падение напряжения на параллельно соединенных резисторах R2 и R3. Отсюда U23 = U12 - U4 = 2.4 - 1.14 = 1.26 В; I2 = U23/R2 = 1.26/70 = 0.018 А; I3 = U23/R3 = 1.26/30 = 0.042 А. Проверяем по 1-му з-ну Кирхгофа: I2 + I3 = 0.018 + 0.042 = 0.06 А = I4.
Резисторы R2 и R3 соединены параллельно; их эквивалентное сопротивление R23 = R2*R3/(R2 + R3) = 70*30(70 + 30) = 21 Ом. Сопротивление R23 соединено последовательно с резистором R4; их суммарное сопротивление R234 = R23 + R4 = 21 +19 = 40 Ом; сопротивление R234 соединено параллельно с резистором R1; общее эквивалентное сопротивление Rэ = R234*R1/(R234 + R1) = 40*60(40 + 60) = 24 Ом. Напряжение U12 = I0*Rэ = 100*10-3*24 = 2.4 В. Проверяем по з-нам Кирхгофа. Ток I1 = U12/R1 = 2.4/60 = 0.04 А. Тогда по 1-му з-ну Кирхгофа: I0 = I1 + I4, откуда I4 = I0 - I1 = 0.100 - 0.04 = 0.06 А. Падение напряжения на резисторе R4: U4 = I4*R4 = 0.06*19 = 1.14 В. Тогда по 2-му з-ну Кирхгофа: U12 = U4 + U23, где U23 - общее падение напряжения на параллельно соединенных резисторах R2 и R3. Отсюда U23 = U12 - U4 = 2.4 - 1.14 = 1.26 В; I2 = U23/R2 = 1.26/70 = 0.018 А; I3 = U23/R3 = 1.26/30 = 0.042 А. Проверяем по 1-му з-ну Кирхгофа: I2 + I3 = 0.018 + 0.042 = 0.06 А = I4.
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