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Консультация № 195601
13.05.2019, 03:00
0.00 руб.
13.05.2019, 07:05
0
1
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос
В поле заряженной сферы радиусом 10 см вдоль силовой линии двигается электрон по радиусу между точками, находящимися на расстоянии 12 см и 15 см от центра сферы . Скорость электрона изменяется от 2[$183$]105 м/с до 2[$183$]106 м/с. Найти поверхностную плотность заряда сферы.
В поле заряженной сферы радиусом 10 см вдоль силовой линии двигается электрон по радиусу между точками, находящимися на расстоянии 12 см и 15 см от центра сферы . Скорость электрона изменяется от 2[$183$]105 м/с до 2[$183$]106 м/с. Найти поверхностную плотность заряда сферы.
Обсуждение
15.05.2019, 09:26
общий
это ответ
Здравствуйте, ssskck!
Будем считать, что сфера радиусом R несёт отрицательный заряд q=4[$960$]R2[$963$] с поверхностной плотностью [$963$]. Электрон массой m и зарядом e движется вдоль луча, исходящего из центра сферы, от точки, которая находится на расстоянии r1=0,12 м, к точке, которая находится на расстоянии r2=0,15 м от центра сферы. При этом под действием силы F=kqe/r2, обратно пропорциональной квадрату расстояния r от центра сферы, кинетическая энергия электрона увеличивается на m/2*(v22-v12), где v2=2*106 м/с, v1=2*105 м/с. В соответствии с теоремой об изменении кинетической энергии,
Будем считать, что сфера радиусом R несёт отрицательный заряд q=4[$960$]R2[$963$] с поверхностной плотностью [$963$]. Электрон массой m и зарядом e движется вдоль луча, исходящего из центра сферы, от точки, которая находится на расстоянии r1=0,12 м, к точке, которая находится на расстоянии r2=0,15 м от центра сферы. При этом под действием силы F=kqe/r2, обратно пропорциональной квадрату расстояния r от центра сферы, кинетическая энергия электрона увеличивается на m/2*(v22-v12), где v2=2*106 м/с, v1=2*105 м/с. В соответствии с теоремой об изменении кинетической энергии,
m/2*(v22-v12)=4[$960$]R2[$963$]ker1[$8747$]r2dr/r2,
m/2*(v22-v12)=4[$960$]R2[$963$]ke(r2-r1)/(r1r2),
[$963$]=m(v22-v12)r1r2/(8[$960$]R2ke(r2-r1))=
=9,11*10-31*((2*106)2-(2*105)2)*0,12*0,15/(8[$960$]*0,12*9*109*1,60*10-19*(0,15-0,12))[$8776$]5,98*10-9 (Кл/м2).
Об авторе:
Facta loquuntur.
Facta loquuntur.
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