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Консультация № 202206
21.02.2022, 20:21
0.00 руб.
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1
Здравствуйте! У меня возникли сложности с таким вопросом:
Определить работу А по перемещению точечного положительного заряда q=40 нКл из точки, находящейся на расстоянии r_1=2 м, в точку, на расстоянии r_2=1 см от поверхности сферы радиусом R=2 см, равномерно заряженной с поверхностной плотностью заряда ?=100 нКл/м^2 .
Спасибо за помощь
Определить работу А по перемещению точечного положительного заряда q=40 нКл из точки, находящейся на расстоянии r_1=2 м, в точку, на расстоянии r_2=1 см от поверхности сферы радиусом R=2 см, равномерно заряженной с поверхностной плотностью заряда ?=100 нКл/м^2 .
Спасибо за помощь
Обсуждение
26.02.2022, 16:34
общий
это ответ
Полный заряд сферы радиуса R c поверхностной плотностью заряда [$963$] будет равен Q = [$963$]S = 4[$960$][$963$]R[sup]2[/sup] (S = 4[$960$]R[sup]2[/sup] - площадь поверхности сферы). Тогда потенциал [$966$] сферы на расстоянии r от её поверхности будет равен
где [$949$] - диэлектрическая проницаемость среды, [$949$][sub]0[/sub] = 8.8542[$183$]10[sup]-12[/sup] Ф/м - электрическая постоянная. Соответственно, работа по перемещению точечного заряда q между точками, расположенными на расстоянии r[sub]1[/sub] и r[sub]2[/sub] от поверхности сферы, будет определяться выражением
В данном случае q = 40 нКл = 0.00000004 Кл, [$963$] = 100 нКл/м[sup]2[/sup] = 0.0000001 Кл/м[sup]2[/sup], R = 2 см = 0.02 м, r[sub]1[/sub] = 1 м, r[sub]2[/sub] = 1 см = 0.01 м, [$949$] = 1 (по умолчанию). Тогда
Дж = 5.85 мкДж.
где [$949$] - диэлектрическая проницаемость среды, [$949$][sub]0[/sub] = 8.8542[$183$]10[sup]-12[/sup] Ф/м - электрическая постоянная. Соответственно, работа по перемещению точечного заряда q между точками, расположенными на расстоянии r[sub]1[/sub] и r[sub]2[/sub] от поверхности сферы, будет определяться выражением
В данном случае q = 40 нКл = 0.00000004 Кл, [$963$] = 100 нКл/м[sup]2[/sup] = 0.0000001 Кл/м[sup]2[/sup], R = 2 см = 0.02 м, r[sub]1[/sub] = 1 м, r[sub]2[/sub] = 1 см = 0.01 м, [$949$] = 1 (по умолчанию). Тогда
Дж = 5.85 мкДж.
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