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Консультация № 192217
23.12.2017, 14:44
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Здравствуйте уважаемые эксперты! Прошу вас помочь мне в решении одной задачи:
Ток в проводнике сопротивлением 1,2 Ом изменяется во времени по закону I = 50 - 0,2√t , где I - выражено в амперах,
t - в секундах. Найти: 1) закон изменения напряжения на проводнике от времени; 2) заряд, прошедший через проводник за промежуток времени от t1 = 2 с до t2 = 7 с; 3) количество теплоты, выделившееся в проводнике за указанный промежуток времени.
Заранее спасибо!
P.S: Я дохожу до интеграла и не могу его решить, потом все решение идет кубарем...
Ток в проводнике сопротивлением 1,2 Ом изменяется во времени по закону I = 50 - 0,2√t , где I - выражено в амперах,
t - в секундах. Найти: 1) закон изменения напряжения на проводнике от времени; 2) заряд, прошедший через проводник за промежуток времени от t1 = 2 с до t2 = 7 с; 3) количество теплоты, выделившееся в проводнике за указанный промежуток времени.
Заранее спасибо!
P.S: Я дохожу до интеграла и не могу его решить, потом все решение идет кубарем...
Обсуждение
23.12.2017, 15:25
общий
23.12.2017, 15:26
vasily.evchuk P.S: Я дохожу до интеграла и не могу его решить, потом все решение идет кубарем..
квадратный корень = половинная степень
[$8730$]x=x0,5
[$8747$]I dt=[$8747$](50-0,2[$8730$]t)dt=50t-0,2[$8747$]t1/2dt=50t-0,2[$183$]2/3[$183$]t3/2=50t-2/15[$183$]t1,5
I2=502-20[$8730$]t+0,04t
[$8747$]I2 dt=2500t-40/3[$183$]t1,5+0,02t2
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