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Консультация № 197015
09.11.2019, 16:08
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Здравствуйте! Прошу помощи в следующем вопросе: Задача 1
Найти потенциал электростатического поля, создаваемого отрезком прямой длиной 2d в точке A (рис. 4). Отрезок равномерно заряжен с линейной плотностью заряда λ. Точка A лежит на оси X, направленной вдоль отрезка, на расстоянии a от его середины. где a = 15 см , d = 10 см,
λ = 32 нКл/м
Найти потенциал электростатического поля, создаваемого отрезком прямой длиной 2d в точке A (рис. 4). Отрезок равномерно заряжен с линейной плотностью заряда λ. Точка A лежит на оси X, направленной вдоль отрезка, на расстоянии a от его середины. где a = 15 см , d = 10 см,
λ = 32 нКл/м
Обсуждение
14.11.2019, 03:40
общий
это ответ
Здравствуйте, uaa-11!
В общем случае потенциал электростатического поля точечного заряда q на расстоянии r от него определяется выражением
Дифференцируя, для бесконечно малого заряда dq имеем
В частности, для равномерно заряженного отрезка прямой l с линейной плотностью заряда [$955$] имеем dq = [$955$]dl, откуда
Для отрезка длиной 2d и точки A, расположенной на оси отрезка на расстоянии a>d от его середины расстояние r будет меняться в диапазоне от a-d до a+d, и потенциал в точке A будет равен
Подставляя [$955$] = 32 нКл/м = 3.2[$183$]10[sup]-8[/sup] Кл/м, a = 15 см = 0.15 м, d = 10 см = 0.1 м, получаем
В общем случае потенциал электростатического поля точечного заряда q на расстоянии r от него определяется выражением
Дифференцируя, для бесконечно малого заряда dq имеем
В частности, для равномерно заряженного отрезка прямой l с линейной плотностью заряда [$955$] имеем dq = [$955$]dl, откуда
Для отрезка длиной 2d и точки A, расположенной на оси отрезка на расстоянии a>d от его середины расстояние r будет меняться в диапазоне от a-d до a+d, и потенциал в точке A будет равен
Подставляя [$955$] = 32 нКл/м = 3.2[$183$]10[sup]-8[/sup] Кл/м, a = 15 см = 0.15 м, d = 10 см = 0.1 м, получаем
5
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