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Консультация № 161509
26.02.2009, 23:16
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1)Частота переменного тока в катушке индуктивности 50 Гц. С какой частотой изменяется энергия магнітного поля катушки?
2)Гармонические колебания шарика пружинного маятника описуются законом синуса. Чему равняется кинетическая энергия шарика маятника при фазе пи/3, если полная энергия
маятника 40 мДж?
Нужно, как можно быстрее...вся надежда только на вас...заранее огромное спасибо!!!
2)Гармонические колебания шарика пружинного маятника описуются законом синуса. Чему равняется кинетическая энергия шарика маятника при фазе пи/3, если полная энергия
маятника 40 мДж?
Нужно, как можно быстрее...вся надежда только на вас...заранее огромное спасибо!!!
Обсуждение
Неизвестный
27.02.2009, 07:21
общий
это ответ
Здравствуйте, Kafka!
###
1)Частота переменного тока в катушке индуктивности
f(I)= 50 Гц.
С какой частотой изменяется энергия магнітного поля катушки
f(E)=?
___
Энергия магнитного поля в катушке
E= L*I^2/2= (L/2)*(I0*cos(w*t))^2= (I0^2*L/2)*(cos(w*t))^2
(cos(x))^2= (1/2)+ cos(2*x)/2
E= (I0^2*L/4)*(1+ cos(2*w*t))
Как видно из формулы энергия в катушке,
во первых имеет постоянную составляющую
во вторых колеблется вокруг этой составляющей с удвоенной частотой.
То есть частота изменения энергии
f(E)= 2*f(I)= 2*50= 100 (Гц)
======================================
2)Гармонические колебания шарика пружинного маятника описуются законом синуса.
Чему равняется кинетическая энергия шарика маятника при фазе
fi= pi/3,
если полная энергия маятника
E= 40 мДж= 40e-3 (Дж)
___
Положение шарика
x= Xmax*sin(w*t)
Скорость шарика
v= dx/dt= Xmax*w*cos(w*t)
кинетическая энергия шарика
Ek(t)= m*(v(t))^2/2= Ekmax*(cos(w*t))^2
Ответ
Ek(pi/3)= 40e-3*(cos(pi/3))^2= 0,01 (Дж)
###
1)Частота переменного тока в катушке индуктивности
f(I)= 50 Гц.
С какой частотой изменяется энергия магнітного поля катушки
f(E)=?
___
Энергия магнитного поля в катушке
E= L*I^2/2= (L/2)*(I0*cos(w*t))^2= (I0^2*L/2)*(cos(w*t))^2
(cos(x))^2= (1/2)+ cos(2*x)/2
E= (I0^2*L/4)*(1+ cos(2*w*t))
Как видно из формулы энергия в катушке,
во первых имеет постоянную составляющую
во вторых колеблется вокруг этой составляющей с удвоенной частотой.
То есть частота изменения энергии
f(E)= 2*f(I)= 2*50= 100 (Гц)
======================================
2)Гармонические колебания шарика пружинного маятника описуются законом синуса.
Чему равняется кинетическая энергия шарика маятника при фазе
fi= pi/3,
если полная энергия маятника
E= 40 мДж= 40e-3 (Дж)
___
Положение шарика
x= Xmax*sin(w*t)
Скорость шарика
v= dx/dt= Xmax*w*cos(w*t)
кинетическая энергия шарика
Ek(t)= m*(v(t))^2/2= Ekmax*(cos(w*t))^2
Ответ
Ek(pi/3)= 40e-3*(cos(pi/3))^2= 0,01 (Дж)
Форма ответа
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