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Консультация № 199809
07.12.2020, 20:43
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
При подключении к источнику питания резистора сопротивлением R=5 Ом через него течёт ток I=1 А, а при коротком замыкании через источник течёт ток I0=6 А. Найдите наибольшую тепловую мощность, которая может выделяться на нагрузке, подключённой к этому источнику. Ответ выразите в ваттах, округлите до целого числа.
При подключении к источнику питания резистора сопротивлением R=5 Ом через него течёт ток I=1 А, а при коротком замыкании через источник течёт ток I0=6 А. Найдите наибольшую тепловую мощность, которая может выделяться на нагрузке, подключённой к этому источнику. Ответ выразите в ваттах, округлите до целого числа.
Обсуждение
10.12.2020, 01:03
общий
это ответ
Здравствуйте, kuznetsova.79!
Дано:
R1=5 Ом
I1=1 A
I0=6 A
R0= 0
Найти:
Pmax
Решение:
1) Pmax=Ix2*Rx (*)
здесь Ix - неизвестный пока ток, протекающий в цепи c неизвестным пока сопротивлением нагрузки Rx.
2) Максимальная тепловая мощность в цепи выделяется на нагрузке, сопротивление которой равно внутреннему сопротивлению источника. В сети можно найти доказательства этого факта и на нашем сайте решались аналогичные задачи (например вот здесь).
Таким образом,
Rx=r (1)
здесь r - внутреннее сопротивление источника тока.
3) Согласно закону Ома для полной цепи
I1=[$8496$]/(R1+r) [$8658$] [$8496$]=I1R1+I1r (2)
и также ток короткого замыкания, согласно закону Ома
I0=[$8496$]/r [$8658$] [$8496$]=I0*r (3)
Решая систему уравнений (2) и (3), получаем
[$8496$]=6 В; r=1 Ом
4) Согласно тождеству (1)
R[sub]x[/sub]=1 Ом
5) Согласно закону Ома
Ix=[$8496$]/(Rx+r) (4)
I[sub]x[/sub]=3 A
6) Подставим найденные значения в формулу (*), получим
Pmax = 32*1 = 9 Вт
Ответ: 9 Вт
Удачи
Дано:
R1=5 Ом
I1=1 A
I0=6 A
R0= 0
Найти:
Pmax
Решение:
1) Pmax=Ix2*Rx (*)
здесь Ix - неизвестный пока ток, протекающий в цепи c неизвестным пока сопротивлением нагрузки Rx.
2) Максимальная тепловая мощность в цепи выделяется на нагрузке, сопротивление которой равно внутреннему сопротивлению источника. В сети можно найти доказательства этого факта и на нашем сайте решались аналогичные задачи (например вот здесь).
Таким образом,
Rx=r (1)
здесь r - внутреннее сопротивление источника тока.
3) Согласно закону Ома для полной цепи
I1=[$8496$]/(R1+r) [$8658$] [$8496$]=I1R1+I1r (2)
и также ток короткого замыкания, согласно закону Ома
I0=[$8496$]/r [$8658$] [$8496$]=I0*r (3)
Решая систему уравнений (2) и (3), получаем
[$8496$]=6 В; r=1 Ом
4) Согласно тождеству (1)
R[sub]x[/sub]=1 Ом
5) Согласно закону Ома
Ix=[$8496$]/(Rx+r) (4)
I[sub]x[/sub]=3 A
6) Подставим найденные значения в формулу (*), получим
Pmax = 32*1 = 9 Вт
Ответ: 9 Вт
Удачи
Об авторе:
С уважением
shvetski
С уважением
shvetski
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