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Консультация № 161751
01.03.2009, 21:56
60.00 руб.
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Здравствуйте уважаемые эксперты!Просьба решить несколько задачек...
Электромагнитная волна с частотой = 3 МГц переходит из вакуума в немагнитную среду с диэлектрической проницаемостью = 4. Найти приращение ее длины волны.
В заранее примнога благодарен
Электромагнитная волна с частотой = 3 МГц переходит из вакуума в немагнитную среду с диэлектрической проницаемостью = 4. Найти приращение ее длины волны.
В заранее примнога благодарен
Обсуждение
07.03.2009, 02:30
общий
это ответ
Здравствуйте, Масленников Александр!
Скорость распространения электромагнитной волны в среде cc = 1/(√(μ*μ0*ε*ε0)) (1), где μ0 = 1.256637061*10-6 Гн/м, ε0 = 8.85418782*10-12 Ф/м - соответственно магнитная и электрическая постоянная вакуума, μ = 1 - относительная магнитная проницаемость немагнитной среды, ε = 4 - относительная диэлектрическая проницаемость заданной в условии немагнитной среды. Из (1) следует что скорость распространения электромагнитной волны в заданной в условии среде в √(4) = 2 раза меньше скорости распространения электромагнитной волны в вакууме; соответственно и длина волны в заданной в условии среде в 2 раза меньше длины волны в вакууме. Длина волны в вакууме λ = c0/ν (2), где c0 ≈ 3*108 м/с - скорость распространения электромагнитной волны в вакууме, ν = 3*106 Гц (по условию) - частота; λ = 3*108/3*106 =100 м/с; в среде, соответственно, λc = λ/2 = 100/2 = 50 м. Приращение длины волны Δλ = λc - λ = 50 - 100 = -50 м.
Скорость распространения электромагнитной волны в среде cc = 1/(√(μ*μ0*ε*ε0)) (1), где μ0 = 1.256637061*10-6 Гн/м, ε0 = 8.85418782*10-12 Ф/м - соответственно магнитная и электрическая постоянная вакуума, μ = 1 - относительная магнитная проницаемость немагнитной среды, ε = 4 - относительная диэлектрическая проницаемость заданной в условии немагнитной среды. Из (1) следует что скорость распространения электромагнитной волны в заданной в условии среде в √(4) = 2 раза меньше скорости распространения электромагнитной волны в вакууме; соответственно и длина волны в заданной в условии среде в 2 раза меньше длины волны в вакууме. Длина волны в вакууме λ = c0/ν (2), где c0 ≈ 3*108 м/с - скорость распространения электромагнитной волны в вакууме, ν = 3*106 Гц (по условию) - частота; λ = 3*108/3*106 =100 м/с; в среде, соответственно, λc = λ/2 = 100/2 = 50 м. Приращение длины волны Δλ = λc - λ = 50 - 100 = -50 м.
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