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Задать вопрос экспертам

Консультация № 200062

09.01.2021, 15:43

0.00 руб.

0 1 1

Образование

Добрый день! Требуется помощь с решением задачи:
Тонкое кольцо радиуса R = 10 см несет равномерно
распределенный заряд q = 10-7 Кл. Определить разность потенциалов между
точками, расположенными на оси кольца на расстояниях l1 = 10 см и
l2 = 20 см от его середины. Заранее спасибо

Обсуждение

давно

Посетитель
226425
1567

10.01.2021, 20:26

общий

это ответ

Здравствуйте, Анастасия!
Дано:
R = 10 см = 0,1 м
q = 10-7 Кл
а₁ = 10 см = 0.1 м
a₂ = 20 см = 0,2 м
найти: U_1,2
Решение:
Напряжение (или разность потенциалов между двумя точками)
U_1,2=[$966$]₁-[$966$]₂
Потенциал точки на оси тонкого кольца
[$966$]=[q/(4[$960$][$949$]_o)]*[1/[$8730$](R²+a²)]
Тогда
U_1,2=[q/(4[$960$][$949$]_o)]*[1/[$8730$](R²+a₁²) - 1/[$8730$](R²+a₂²)] (*)
здесь
[$960$]=3,14
[$949$]_o=8,85*10^-12 Ф/м
подставляем значения величин в формулу (*) - получаем
U_1,2[$8776$]2340 В
Рекомендую проверить расчеты
Удачи

Об авторе:
С уважением
shvetski

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