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Консультация № 200311
22.02.2021, 20:20
0.00 руб.
22.02.2021, 22:42
1
1
1
Здравствуйте! У меня возникли сложности с задачей:
Цепь постоянного тока смешанного соединения состоит из четырех резисторов.
необходимо определить: эквивалентное сопротивление цепи; токи во всех ветвях схемы; составить баланс мощности.
Дано: R1= 12 Ом, R2=2 Ом, R3=4 Ом, R4=4 Ом, Р=50 Вт
Цепь постоянного тока смешанного соединения состоит из четырех резисторов.
необходимо определить: эквивалентное сопротивление цепи; токи во всех ветвях схемы; составить баланс мощности.
Дано: R1= 12 Ом, R2=2 Ом, R3=4 Ом, R4=4 Ом, Р=50 Вт
Прикрепленные файлы:
Обсуждение
25.02.2021, 23:35
общий
это ответ
Здравствуйте, AnnaTar!
1. Рассчитаем полное сопротивление цепи:
1/R=1/R1+1/R2,3+1/R4
R2,3 = R2+R3 = 2+4= 6 Ом
1/R=1/12+1/6+1/4 = 6/12 (Ом-1)
Тогда
R=12/6=2 (Ом)
2. Определим полный ток в цепи
Из формулы мощности тока
P=I2*R [$8658$] I=[$8730$](P/R) = [$8730$](50/2) = 5 A
3. Напряжение на концах цепи
U=IR = 5*2 = 10 В
4. Токи в ветвях (по закону Ома)
I1=U/R1 = 10/12 = 0,83 A
I2,3=U/R2,3 = 10/6 = 1,67 A
I4=U/R4 = 10/4 = 2,5 A
Проверим - сумма токов
I1+I2,3+I4 = 5 A = I (ok
)
5. Рассчитаем мощности тока в каждом резисторе
P1=I12*R1 = 8,3 Вт
P2=I2,32*R2 = 5,6 Вт
P3=I2,32*R3 = 11,3 Вт
P4=I42*R4 = 25,0 Вт
Проверим - сумма мощностей на резисторах
P1+P2+P3+P4 = 50,2 Вт - погрешность менее одного полпроцента -
50,2[$8776$]50
Баланс мощности соблюдается - расчеты выполнены верно
Удачи
1. Рассчитаем полное сопротивление цепи:
1/R=1/R1+1/R2,3+1/R4
R2,3 = R2+R3 = 2+4= 6 Ом
1/R=1/12+1/6+1/4 = 6/12 (Ом-1)
Тогда
R=12/6=2 (Ом)
2. Определим полный ток в цепи
Из формулы мощности тока
P=I2*R [$8658$] I=[$8730$](P/R) = [$8730$](50/2) = 5 A
3. Напряжение на концах цепи
U=IR = 5*2 = 10 В
4. Токи в ветвях (по закону Ома)
I1=U/R1 = 10/12 = 0,83 A
I2,3=U/R2,3 = 10/6 = 1,67 A
I4=U/R4 = 10/4 = 2,5 A
Проверим - сумма токов
I1+I2,3+I4 = 5 A = I (ok
)5. Рассчитаем мощности тока в каждом резисторе
P1=I12*R1 = 8,3 Вт
P2=I2,32*R2 = 5,6 Вт
P3=I2,32*R3 = 11,3 Вт
P4=I42*R4 = 25,0 Вт
Проверим - сумма мощностей на резисторах
P1+P2+P3+P4 = 50,2 Вт - погрешность менее одного полпроцента -
50,2[$8776$]50
Баланс мощности соблюдается - расчеты выполнены верно
Удачи
5
Благодарна за доброту и отзывчивость
Об авторе:
С уважением
shvetski
С уважением
shvetski
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