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Консультация № 199568
10.11.2020, 11:23
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Два длинных прямых параллельных проводящих цилиндра радиуса 2 см заряжены один положительно, другой отрицательно с линейной плотностью заряда 0,1 мкКл/м. Расстояние между осями цилиндров равно 50 см. Найти разность потенциалов между поверхностями цилиндров.
Два длинных прямых параллельных проводящих цилиндра радиуса 2 см заряжены один положительно, другой отрицательно с линейной плотностью заряда 0,1 мкКл/м. Расстояние между осями цилиндров равно 50 см. Найти разность потенциалов между поверхностями цилиндров.
Обсуждение
17.11.2020, 07:32
общий
это ответ
Здравствуйте, squirrel!
Потенциал цилиндра радиуса R с линейной плотностью заряда [$955$] на расстоянии r > R от его оси определяется выражением
где [$949$][sub]0[/sub] = 8.8542[$183$]10[sup]-12[/sup] Ф/м -электрическая постоянная. Внутри цилиндра потенциал равен нулю, поэтому искомая разность потенциалов равна потенциалу, создаваемому на поверхности одного цилиндра полем другого цилиндра. В данном случае для [$964$] = 0.1 мкКл/м = 0.0000001 Кл/м, R = 2 см = 0.02 м и r = 50 - 2 = 48 см = 0.48 м получим
Потенциал цилиндра радиуса R с линейной плотностью заряда [$955$] на расстоянии r > R от его оси определяется выражением
где [$949$][sub]0[/sub] = 8.8542[$183$]10[sup]-12[/sup] Ф/м -электрическая постоянная. Внутри цилиндра потенциал равен нулю, поэтому искомая разность потенциалов равна потенциалу, создаваемому на поверхности одного цилиндра полем другого цилиндра. В данном случае для [$964$] = 0.1 мкКл/м = 0.0000001 Кл/м, R = 2 см = 0.02 м и r = 50 - 2 = 48 см = 0.48 м получим
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