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Консультация № 200610

10.04.2021, 19:49

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Теле-радио-аппаратура

Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос: Задана электрическая цепь постоянного тока с параметрами: R1=10 Ом, R2=15 Ом, R3=8 Ом, R4=8 Ом, R5=12 Ом, R6= 6 Ом, I=4 А. Определить: Rэкв., I1, I5, U, P.

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226425
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10.04.2021, 22:17

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это ответ

Здравствуйте, k.kristina.88!
1. Резисторы R₁ и R₂ - соединены параллельно, следовательно,
1/R₁₂=1/R₁+1/R₂ = 1/10 + 1/15 = 5/30 (1/Ом)
[$8658$]
R₁₂= 30/5 = 6 Ом;
2. Резисторы R₃, R₄ и R₅ - соединены параллельно, следовательно,
1/R₃₄₅=1/R₃+1/R₄+1/R₅ = 1/8+1/8 + 1/12 = 8/24 (1/Ом)
[$8658$]
R₃₄₅=24/8 = 3 Ом;
3. Участки R₁₂, R₃₄₅ и R₆ соединены последовательно, следовательно
R_экв=R₁₂+R₃₄₅+R₆ = 6+3+6 = 15 Ом;
4. Напряжение на зажимах цепи
U=I*R_экв = 4*15 = 60 В;
5. Напряжение на концах участка 1-2
U₁₂=I*R₁₂ = 4*6 = 24 В,
тогда сила тока в резисторе R₁
I₁=U₁₂/R₁ = 24/10 = 2,4 A;
6. Напряжение на концах участка 3-4-5
U₃₄₅=I*R₃₄₅ = 4*3 = 12 В,
тогда сила тока в резисторе R₅
I₅=U₃₄₅/R₅ = 12/12 = 1 A;
7. Мощность тока в цепи
P=I*U = 4*60 = 240 Вт.

Удачи

5

Спасибо большое!

Об авторе:
С уважением
shvetski

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