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Консультация № 160476
14.02.2009, 21:29
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Здравствуйте уважаемые эксперты. Помогите пожалуйста с задачей. . Найти напряжённость Е внешнего поля, если на диполь с электрическим моментом ре = 8.0*10^-30 Кл*м, расположенный под углом a = 300 к внешнему полю, действует вращающий момент М = 4.8*10^-25 Н*м.
Обсуждение
Неизвестный
15.02.2009, 00:16
общий
это ответ
Здравствуйте, Arikushi!
Найти напряжённость
Е=?
внешнего поля, если на диполь с электрическим моментом
ре = 8.0*10^-30 Кл*м,
расположенный под углом
a = 30o= pi/6 (рад)(в радианах мне проще вычислять, Вы можете не переводить)
к внешнему полю, действует вращающий момент
М = 4.8*10^-25 Н*м
___
Диполь состоит из двух зарядов '+q' и '-q' закрепленных на расстоянии 'L'.
Величина электрического момента диполя
pe_= q*L_
(Подчерками я попытался обозначить векторные величины)
где
L_= вектор направленный от минуса к плюсу
Если диполь находится в эл. поле напряжненностью 'E', то на него действует
момент
M_= pe_*E_ , (векторное произведение)
величина момента из определения вектороного произведения
M= pe*E*sin(f)
где
f= угол между векторами 'pe_' и 'E_'
Отсюда
E= M/(pe*sin(f))= 4.8e-25/(8.0e-30*sin(pi/6))= 120000 (В/м)= 120 (кВ/м)
___
ЗЫ
У меня в броузере непонятные значки перед показателями степени 30 и 25 в 'pe' и 'M'. Я их игнорировал.
Найти напряжённость
Е=?
внешнего поля, если на диполь с электрическим моментом
ре = 8.0*10^-30 Кл*м,
расположенный под углом
a = 30o= pi/6 (рад)(в радианах мне проще вычислять, Вы можете не переводить)
к внешнему полю, действует вращающий момент
М = 4.8*10^-25 Н*м
___
Диполь состоит из двух зарядов '+q' и '-q' закрепленных на расстоянии 'L'.
Величина электрического момента диполя
pe_= q*L_
(Подчерками я попытался обозначить векторные величины)
где
L_= вектор направленный от минуса к плюсу
Если диполь находится в эл. поле напряжненностью 'E', то на него действует
момент
M_= pe_*E_ , (векторное произведение)
величина момента из определения вектороного произведения
M= pe*E*sin(f)
где
f= угол между векторами 'pe_' и 'E_'
Отсюда
E= M/(pe*sin(f))= 4.8e-25/(8.0e-30*sin(pi/6))= 120000 (В/м)= 120 (кВ/м)
___
ЗЫ
У меня в броузере непонятные значки перед показателями степени 30 и 25 в 'pe' и 'M'. Я их игнорировал.
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