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Консультация № 199202
22.09.2020, 00:21
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1
Здравствуйте! Прошу помощи в следующем вопросе:
Какую нужно совершить работу, чтобы перенести точечный заряд q = 4*10-8 Кл из точки, находящейся на расстоянии 1 м, в точку, находящуюся на расстоянии 1 см от поверхности шара радиусом 2 см с поверхностной плотностью заряда 10^-11 Кл/м^2? Обязательно сделать рисунок.
Какую нужно совершить работу, чтобы перенести точечный заряд q = 4*10-8 Кл из точки, находящейся на расстоянии 1 м, в точку, находящуюся на расстоянии 1 см от поверхности шара радиусом 2 см с поверхностной плотностью заряда 10^-11 Кл/м^2? Обязательно сделать рисунок.
Обсуждение
26.09.2020, 17:57
общий
это ответ
Здравствуйте, dar777!
Работа сил электростатического поля, совершаемая при перемещении точечного заряда q, определяется разностью потенциалов между начальной и конечной точками:
Для шара радиуса R, равномерно заряженного по поверхности с плотностью заряда [$963$], потенциал на расстоянии r > R в среде с диэлектрической проницаемостью [$949$] определяется выражением
где [$949$][sub]0[/sub] = 8.8542[$183$]10[sup]-12[/sup] Ф/м - электрическая постоянная. Тогда работа по перносу заряда, находящегося на расстоянии r[sub]1[/sub] от поверхности шара, в точку на расстоянии r[sub]2[/sub] будет равна
В данном случае q = 4[$183$]10[sup]-8[/sup] Кл, [$963$] = 10[sup]-11[/sup] 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, и искомая работа будет равна
Дж = -585 пДж.
Знак "-" означает, что работа совершается против сил электростатического поля.
Работа сил электростатического поля, совершаемая при перемещении точечного заряда q, определяется разностью потенциалов между начальной и конечной точками:
Для шара радиуса R, равномерно заряженного по поверхности с плотностью заряда [$963$], потенциал на расстоянии r > R в среде с диэлектрической проницаемостью [$949$] определяется выражением
где [$949$][sub]0[/sub] = 8.8542[$183$]10[sup]-12[/sup] Ф/м - электрическая постоянная. Тогда работа по перносу заряда, находящегося на расстоянии r[sub]1[/sub] от поверхности шара, в точку на расстоянии r[sub]2[/sub] будет равна
В данном случае q = 4[$183$]10[sup]-8[/sup] Кл, [$963$] = 10[sup]-11[/sup] 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, и искомая работа будет равна
Дж = -585 пДж.Знак "-" означает, что работа совершается против сил электростатического поля.
5
Это самое лучшее решение!
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