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Консультация № 198030
24.03.2020, 14:46
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Медное кольцо диаметром 0.15 м и сечением 1,5∙10-6 м2 вращается вокруг оси с угловой скоростью 62,8 с-1. Определить заряд, который пройдёт по кольцу, если его резко остановить?
Медное кольцо диаметром 0.15 м и сечением 1,5∙10-6 м2 вращается вокруг оси с угловой скоростью 62,8 с-1. Определить заряд, который пройдёт по кольцу, если его резко остановить?
Обсуждение
29.03.2020, 03:43
общий
это ответ
Здравствуйте, guskov.alex.99@mail.ru!
Искомая величина заряда определяется формулой
где v, l и R - начальная скорость вращения, длина окружности и полное сопротивление кольца, e[sub]m[/sub] = 1.759[$183$]10[sup]11[/sup] Кл/кг - удельный заряд электрона. С учётом того, что для кольца диаметром d его длина равна l = [$960$]d, линейная скорость вращения связана с угловой соотношением v = [$969$]d/2, полное же сопротивление определяется известной формулой R = [$961$]l/S = [$961$][$960$]d/S (где [$961$] - удельное сопротивление, S - площадь сечения), формулу для заряда можно записать в виде
В данном случае d = 0.15 м, S = 1.5[$183$]10[sup]-6[/sup] м[sup]2[/sup], [$969$] = 62.8 с[sup]-1[/sup], удельное сопротивление меди [$961$] = 1.72[$183$]10[sup]-8[/sup] Ом[$183$]м, откуда
Кл,
то есть примерно 2.335 нКл.
Искомая величина заряда определяется формулой
где v, l и R - начальная скорость вращения, длина окружности и полное сопротивление кольца, e[sub]m[/sub] = 1.759[$183$]10[sup]11[/sup] Кл/кг - удельный заряд электрона. С учётом того, что для кольца диаметром d его длина равна l = [$960$]d, линейная скорость вращения связана с угловой соотношением v = [$969$]d/2, полное же сопротивление определяется известной формулой R = [$961$]l/S = [$961$][$960$]d/S (где [$961$] - удельное сопротивление, S - площадь сечения), формулу для заряда можно записать в виде
В данном случае d = 0.15 м, S = 1.5[$183$]10[sup]-6[/sup] м[sup]2[/sup], [$969$] = 62.8 с[sup]-1[/sup], удельное сопротивление меди [$961$] = 1.72[$183$]10[sup]-8[/sup] Ом[$183$]м, откуда
Кл,то есть примерно 2.335 нКл.
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