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Консультация № 199386
22.10.2020, 22:55
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Здравствуйте, уважаемые эксперты! Помогите, пожалуйста, решить задачу:
В декартовой системе координат (x,y,z) вдоль оси z, расположена длинная равномерно заряженная нить с линейной плотностью заряда 10 мкКл/м. Найти работу по переносу заряда 0,5 мкКл из точки поля с координатами (3,4,0) в точку с координатами (0,-5,4).
В декартовой системе координат (x,y,z) вдоль оси z, расположена длинная равномерно заряженная нить с линейной плотностью заряда 10 мкКл/м. Найти работу по переносу заряда 0,5 мкКл из точки поля с координатами (3,4,0) в точку с координатами (0,-5,4).
Обсуждение
27.10.2020, 20:56
общий
это ответ
Здравствуйте, meowmurmeow!
Работа сил электростатического поля при перемещении точечного заряда q равна
где [$966$][sub]1[/sub] и [$966$][sub]2[/sub] - потенциалы поля в начальной и конечной точке. Так как потенциал поля длинной равномерно заряженной нити с линейной плотностью заряда [$964$] на расстоянии r от ней равен
где [$949$] - диэлектрическая проницаемость среды, [$949$][sub]0[/sub] = 8.8542[$183$]10[sup]-12[/sup] Ф/м - электрическая постоянная, то
В данном случае q = 0.5 мкКл = 0.0000005 Кл, [$964$] = 10 мкКл/м = 0.00001 Кл/м, можно принять [$949$] = 1, расстояние от оси z для произвольной точки с координатами (x,y,z) равно
поэтому
и
Работа сил электростатического поля при перемещении точечного заряда q равна
где [$966$][sub]1[/sub] и [$966$][sub]2[/sub] - потенциалы поля в начальной и конечной точке. Так как потенциал поля длинной равномерно заряженной нити с линейной плотностью заряда [$964$] на расстоянии r от ней равен
где [$949$] - диэлектрическая проницаемость среды, [$949$][sub]0[/sub] = 8.8542[$183$]10[sup]-12[/sup] Ф/м - электрическая постоянная, то
В данном случае q = 0.5 мкКл = 0.0000005 Кл, [$964$] = 10 мкКл/м = 0.00001 Кл/м, можно принять [$949$] = 1, расстояние от оси z для произвольной точки с координатами (x,y,z) равно
поэтому
и
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