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Консультация № 136833
14.05.2008, 19:33
0.00 руб.
0
1
1
Здравствуйте уважаемые эксперты!!! Помогите с задачкой очень срочно нужно!!!
Очень длинная тонкая прямая проволока несет заряд, равномерно распределенный по всей ее длине. Вычислить линейную плотность заряда , если напряженность поля на расстоянии 0,5м от проволоки против ее середины равна 200 В/м.
Заранее спасибо.
Очень длинная тонкая прямая проволока несет заряд, равномерно распределенный по всей ее длине. Вычислить линейную плотность заряда , если напряженность поля на расстоянии 0,5м от проволоки против ее середины равна 200 В/м.
Заранее спасибо.
Обсуждение
Неизвестный
15.05.2008, 07:30
общий
это ответ
Здравствуйте, Баженов Павел Андреевич!
Воспользуемся теоремой Гаусса:
E*S=Q/(ε*ε<sub>0</sub>) (1)
где ε - диэлектрическая проницаемость вещества, в котором находятся заряды (для вакуума равна 1), ε<sub>0</sub>=0,885*10<sup>-11</sup> Ф/м - электрическая постоянная
S - площадь боковой поверхности воображаемого цилиндра, охватывающего проволоку, радиусом, равным расстоянию а, на котором известна напряженность поля:
S=2*pi*а*l (2)
l - высота цилиндра и проволоки
E=200 В/м - напряженность на расстоянии a=0,5 м от проволоки
Q - заряд проволоки, который равен:
Q=λ*l (3)
где λ - искомая линейная плотность заряда
Подставляя (2) и (3) в (1) и выражая λ получаем:
λ=2*pi*ε*ε<sub>0</sub>*a*E=2*3,14*0,885*10<sup>-11</sup>*0,5*200=5,56*10<sup>-9</sup> Кл/м
Воспользуемся теоремой Гаусса:
E*S=Q/(ε*ε<sub>0</sub>) (1)
где ε - диэлектрическая проницаемость вещества, в котором находятся заряды (для вакуума равна 1), ε<sub>0</sub>=0,885*10<sup>-11</sup> Ф/м - электрическая постоянная
S - площадь боковой поверхности воображаемого цилиндра, охватывающего проволоку, радиусом, равным расстоянию а, на котором известна напряженность поля:
S=2*pi*а*l (2)
l - высота цилиндра и проволоки
E=200 В/м - напряженность на расстоянии a=0,5 м от проволоки
Q - заряд проволоки, который равен:
Q=λ*l (3)
где λ - искомая линейная плотность заряда
Подставляя (2) и (3) в (1) и выражая λ получаем:
λ=2*pi*ε*ε<sub>0</sub>*a*E=2*3,14*0,885*10<sup>-11</sup>*0,5*200=5,56*10<sup>-9</sup> Кл/м
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