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Задать вопрос экспертам

Консультация № 171843

03.09.2009, 01:00

0.00 руб.

0 1 1

Образование

Уважаемые эксперты, прошу помочь.
Протон движеться в магнитном поле напряженностью 10⁵ А/м по окружности радиусом 2 см. Найти кинетическую энергию протона.
Спасибо за помощь.

Обсуждение

давно

Посетитель
226425
1567

03.09.2009, 14:51

общий

это ответ

Здравствуйте, Шаврин Андрей Сергеевич.
Дано:
Масса протона m=1.6*10^-27 кг
Заряд протона e=1.6*10^-19 Кл
Н=10⁵ А/м
R= 2 см = 2*10^-2 м
Найти: Е
Решение:
Сила Лоренца F=e*v*B; кроме того F=m*v²/R , где v-скорость протона, B- магнитная индукция, B=[$956$]*[$956$]₀*H ([$956$]=1, [$956$]₀=4*pi*10^-7 Гн/м
Тогда

e*v*[$956$]*[$956$]₀*H = m*v²/R

Отсюда выразим скорость протона

v=e*R*[$956$]*[$956$]₀*H/m

Кинетическая энергия протона

E=m*v²/2. Подставим скорость

E=1/2*([$956$]*[$956$]₀*e*H*R)²/m

E=1/2*(1*4*3.14*10^-7*1.6*10^-19*10⁵*2*10^-2)²/1.6*10^-27 = 504.8*10^-19 Дж = 5,05*10^-17 Дж

Об авторе:
С уважением
shvetski

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