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Консультация № 180065
28.09.2010, 00:55
40.95 руб.
0
2
1
Здраствуйте, эксперты!))) Помогите решить задачу!))) 
*
По тонкому кольцу радиусом R=10 см равномерно распределен заряд с линейной плотностью[$963$]=50нКл/м. Кольцо вращаеться относительно оси, перпендикулярной плоскости кольца и проходящей через его центр, с частотой n = 10 c-1.Определить магнитный момент [$961$]m, обусловленный вращением кольца.
*
По тонкому кольцу радиусом R=10 см равномерно распределен заряд с линейной плотностью[$963$]=50нКл/м. Кольцо вращаеться относительно оси, перпендикулярной плоскости кольца и проходящей через его центр, с частотой n = 10 c-1.Определить магнитный момент [$961$]m, обусловленный вращением кольца.
Обсуждение
28.09.2010, 01:06
общий
это ответ
Здравствуйте, Real Madrid Player.
Решение:
Виток площадью S=πR2 по которому течет ток I обладаем магнитным моментом Pm=I×S=I×π×R2.
Так как кольцо вращается с частотой ν, то период обращения равен T=1/ν .
За это время кольцо сделает оборот и тогда ток создаваемый зарядом Q равен
I=Q/T=Q*ν.
Поэтому момент равен Pm=Q*ν*π*R2
Заряд всего кольца равен Q=τ*L, где L=2π*R – периметр кольца.
Тогда Pm=τ*2π*R*ν*π*R2=2*τ*π2*ν*R3
Подставляем числа.
Pm=2*50*10-9Кл/м*(3,14)2*10c-1*(0,1)3=9,86*10-9 А/м2
Ответ:Pm=9,86*10-9 А/м2
.
Решение:
Виток площадью S=πR2 по которому течет ток I обладаем магнитным моментом Pm=I×S=I×π×R2.
Так как кольцо вращается с частотой ν, то период обращения равен T=1/ν .
За это время кольцо сделает оборот и тогда ток создаваемый зарядом Q равен
I=Q/T=Q*ν.
Поэтому момент равен Pm=Q*ν*π*R2
Заряд всего кольца равен Q=τ*L, где L=2π*R – периметр кольца.
Тогда Pm=τ*2π*R*ν*π*R2=2*τ*π2*ν*R3
Подставляем числа.
Pm=2*50*10-9Кл/м*(3,14)2*10c-1*(0,1)3=9,86*10-9 А/м2
Ответ:Pm=9,86*10-9 А/м2
.
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