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Консультация № 195518
05.05.2019, 21:44
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Электрон влетел в плоский конденсатор, имея скорость 10 Мм/с, направленную параллельно пластинам. В момент вылета из конденсатора направление с первоначальным направлением скорости.скорости электрона составляло угол 35 Определить разность потенциалов между пластинами (поле считать однородным), если длина пластин равна 10 см и расстояние между ними равно 2 см.
Электрон влетел в плоский конденсатор, имея скорость 10 Мм/с, направленную параллельно пластинам. В момент вылета из конденсатора направление с первоначальным направлением скорости.скорости электрона составляло угол 35 Определить разность потенциалов между пластинами (поле считать однородным), если длина пластин равна 10 см и расстояние между ними равно 2 см.
Обсуждение
10.05.2019, 08:53
общий
это ответ
Здравствуйте, mustang289!
Рисунок к решению задачи находится в прикреплённом файле.
Пренебрежём действием на электрон силы земного притяжения. Во время движения в конденсаторе, напряжённость поля в котором E, на электрон действует сила F=-eE направленная вниз. Поэтому вниз направлен и вектор ускорения электрона, абсолютная величина которого составляет ay=eE/m, где m -- масса электрона. Электрон движется по параболе. Координата вектора его скорости на горизонтальной оси равна начальной скорости, то есть vx=v0; координата вектора на вертикальной оси -- vy=ayt=eEt/m.
Время, за которое электрон пролетит через конденсатор, равно t=l/v0. Тогда vy=eEl/(mv0).
Для угла отклонения вектора скорости от первоначального направления имеем tg([$964$])=vy/vx=eEl/(mv02), откуда получим выражение для величины разности потенциалов между пластинами U=Ed=mv02d*tg([$964$])/(el). Значит,
Рисунок к решению задачи находится в прикреплённом файле.
Пренебрежём действием на электрон силы земного притяжения. Во время движения в конденсаторе, напряжённость поля в котором E, на электрон действует сила F=-eE направленная вниз. Поэтому вниз направлен и вектор ускорения электрона, абсолютная величина которого составляет ay=eE/m, где m -- масса электрона. Электрон движется по параболе. Координата вектора его скорости на горизонтальной оси равна начальной скорости, то есть vx=v0; координата вектора на вертикальной оси -- vy=ayt=eEt/m.
Время, за которое электрон пролетит через конденсатор, равно t=l/v0. Тогда vy=eEl/(mv0).
Для угла отклонения вектора скорости от первоначального направления имеем tg([$964$])=vy/vx=eEl/(mv02), откуда получим выражение для величины разности потенциалов между пластинами U=Ed=mv02d*tg([$964$])/(el). Значит,
U=9,11*10-31*(10*106)2*2*10-2*tg(35[$186$])/(1,60*10-19*10*10-2)[$8776$]79,7 (В).
Прикрепленные файлы:
Об авторе:
Facta loquuntur.
Facta loquuntur.
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