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Консультация № 184284
21.10.2011, 00:58
0.00 руб.
21.10.2011, 06:20
0
1
1
Здравствуйте! У меня возникли сложности с таким вопросом:
На рис. 34 дана зависимость полезной мощности Р от тока I в цепи. По данным этой кривой найти внутреннее сопротивление r
и э.д.с. [$8496$] элемента.
Построить график зависимости от тока I в цепи к.п.д. [$951$] элемента и падения потенциала U во внешней цепи.
рис.34 :
https://rfpro.ru/upload/6448 тут
Заранее очень благодарен
На рис. 34 дана зависимость полезной мощности Р от тока I в цепи. По данным этой кривой найти внутреннее сопротивление r
и э.д.с. [$8496$] элемента.
Построить график зависимости от тока I в цепи к.п.д. [$951$] элемента и падения потенциала U во внешней цепи.
рис.34 :
https://rfpro.ru/upload/6448 тут
Заранее очень благодарен
Обсуждение
21.10.2011, 07:29
общий
это ответ
Здравствуйте, Петров Игорь Андреевич!
Полезная мощность Р = U*I (1). По 2-му закону Кирхгофа: U = [$8496$] - I*r (1а), откуда Р = [$8496$]*I - I2*r[/b] (1б), где [$8496$]*I - мощность, вырабатываемая элементом, а I[sup]2[/sup]*r - потери в его внутреннем сопротивлении. Из рисунка видно, что своего максимального значения Р[sub]макс[/sub] = 5 Вт полезная мощность достигает при I[sub]кр[/sub] = 5 А. Продифференцировав (1б) по I, легко убедиться, что dР/dI = 0 и, соответственно, Р = Р[sub]макс[/sub] при I = I[sub]кр[/sub] = [$8496$]/(2*r) (2). Подставив (2) в (1а), получаем: U[sub]кр[/sub] = [$8496$]/2 (3) и U[sub]кр[/sub] = I[sub]кр[/sub]*r (3а). На основании (1): U[sub]кр[/sub] = Р[sub]макс[/sub]/I[sub]кр[/sub] = 5/5 = 1 В. И, на основании (3) и (2): [$8496$] = 2 В; r = 0.2 Ом.
Из (1), (1а), (1): U = 2 - 0.2*I (4); [$951$] = U/[$8496$] = 1 - 0.1*I (5). Оба эти уравнения изображают прямые линии, которые, надеюсь, без труда построите самостоятельно. Удачи!
Полезная мощность Р = U*I (1). По 2-му закону Кирхгофа: U = [$8496$] - I*r (1а), откуда Р = [$8496$]*I - I2*r[/b] (1б), где [$8496$]*I - мощность, вырабатываемая элементом, а I[sup]2[/sup]*r - потери в его внутреннем сопротивлении. Из рисунка видно, что своего максимального значения Р[sub]макс[/sub] = 5 Вт полезная мощность достигает при I[sub]кр[/sub] = 5 А. Продифференцировав (1б) по I, легко убедиться, что dР/dI = 0 и, соответственно, Р = Р[sub]макс[/sub] при I = I[sub]кр[/sub] = [$8496$]/(2*r) (2). Подставив (2) в (1а), получаем: U[sub]кр[/sub] = [$8496$]/2 (3) и U[sub]кр[/sub] = I[sub]кр[/sub]*r (3а). На основании (1): U[sub]кр[/sub] = Р[sub]макс[/sub]/I[sub]кр[/sub] = 5/5 = 1 В. И, на основании (3) и (2): [$8496$] = 2 В; r = 0.2 Ом.
Из (1), (1а), (1): U = 2 - 0.2*I (4); [$951$] = U/[$8496$] = 1 - 0.1*I (5). Оба эти уравнения изображают прямые линии, которые, надеюсь, без труда построите самостоятельно. Удачи!
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