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Задать вопрос экспертам

Консультация № 180064

28.09.2010, 00:46

41.22 руб.

0 2 2

Образование

Здраствуйте, эксперты!))) Помогите решить задачу!)))

*
Сила тока в проводнике равномерно убывает от 20 А до 6 А в течении 6 с. Какой заряд проходит через поперечное течение проводника за последние четыре секунды?

Обсуждение

Неизвестный

28.09.2010, 00:58

общий

это ответ

Здравствуйте, Real Madrid Player.

Зависимость силы тока от времени I(t)=20-14*t/6=20-7*t/3, начало момент времени t=0

Сила тока это производная заряда по времени. За 4 последние секунды протечет заряд

q=[$8747$]₂⁶I(t)dt=[$8747$]₂⁶(20-7*t/3)dt=(20t-7*t²/6)|₂⁶=120-42-40+14/3=42,666666 Кл

Неизвестный

28.09.2010, 18:56

общий

это ответ

Здравствуйте, Real Madrid Player!
I=f(t)=I0-I*t/T=20-14*t/6=20-7t/3
I=dq/dt
q=∫(нижний предел = 2, верхний 6, т.к. заряд проходит за последние 4 секунды) 20-7t/3 dt=20t-7t^2/6 |нижний предел = 2, верхний 6 = 20*6-7*6-40+7*2/3=42.6 (Кл)

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