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Консультация № 197016
09.11.2019, 16:32
0.00 руб.
09.11.2019, 17:41
0
1
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Задача
Точечный заряд q = 1 мкКл перемещается в элекростатическом поле в плоскости XY по некоторой кривой (рис. 5). Найти работу электростатического поля по перемещению заряда из начальной точки с координатами (x1,y1) в конечную точку с координатами (x2,y2), если потенциал поля [$966$](x,y)=[$966$]0(1- (x2+y2)/d2) является заданной функцией координат.
Найти также силы, действующие на заряд в начальной и конечной точках. где
d=2см, [$966$]0=100 В, х1=-1см, у1=1см, х2=2см, у2=-1см.
Задача
Точечный заряд q = 1 мкКл перемещается в элекростатическом поле в плоскости XY по некоторой кривой (рис. 5). Найти работу электростатического поля по перемещению заряда из начальной точки с координатами (x1,y1) в конечную точку с координатами (x2,y2), если потенциал поля [$966$](x,y)=[$966$]0(1- (x2+y2)/d2) является заданной функцией координат.
Найти также силы, действующие на заряд в начальной и конечной точках. где
d=2см, [$966$]0=100 В, х1=-1см, у1=1см, х2=2см, у2=-1см.
Обсуждение
14.11.2019, 04:44
общий
это ответ
Здравствуйте, uaa-11!
Работа электростатического поля по перемещению заряда q из точки с потенциалом [$966$][sub]1[/sub] в точку с потенциалом [$966$][sub]2[/sub] равна
и не зависит от траектории перемещения. В данном случае для [$966$][sub]0[/sub] = 100 В, x[sub]1[/sub] = -1 см = -0.01 м, y[sub]1[/sub] = 1 см = 0.01 м, x[sub]2[/sub] = 2 см = -0.02 м, y[sub]2[/sub] = -1 см = -0.01 м имеем
и работа по перемещению заряда q = 1 мкКл = 10[sup]-6[/sup] Кл будет равна
Дж = 75 мкДж.
Сила, действующая на заряд q со стороны электростатического поля с напряжённостью E, равна
В свою очередь напряжённость поля связана с его потенциалом [$966$] выражением
В данном случае
и в частности
откуда
Работа электростатического поля по перемещению заряда q из точки с потенциалом [$966$][sub]1[/sub] в точку с потенциалом [$966$][sub]2[/sub] равна
и не зависит от траектории перемещения. В данном случае для [$966$][sub]0[/sub] = 100 В, x[sub]1[/sub] = -1 см = -0.01 м, y[sub]1[/sub] = 1 см = 0.01 м, x[sub]2[/sub] = 2 см = -0.02 м, y[sub]2[/sub] = -1 см = -0.01 м имеем
и работа по перемещению заряда q = 1 мкКл = 10[sup]-6[/sup] Кл будет равна
Дж = 75 мкДж.Сила, действующая на заряд q со стороны электростатического поля с напряжённостью E, равна
В свою очередь напряжённость поля связана с его потенциалом [$966$] выражением
В данном случае
и в частности
откуда
5
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