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Консультация № 180758
15.11.2010, 03:10
0.00 руб.
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2
2
Задача. Помогите решить.
От подстанции к потребителю передается мощность 100 кВт. Сопротивление линии 10 Ом. Какую часть мощности получает потребитель, если передача осуществляется при напряжении 5 кВ?
От подстанции к потребителю передается мощность 100 кВт. Сопротивление линии 10 Ом. Какую часть мощности получает потребитель, если передача осуществляется при напряжении 5 кВ?
Обсуждение
15.11.2010, 05:46
общий
это ответ
Здравствуйте, Посетитель - 344996!
Передаваемая мощность P = U*I, где U - напряжение, I - ток в линии.
Потери мощности в проводах Pп = I2*R, где R - сопротивление проводов;
Тогда ток в линии: I=P/U=105/(5*103)=20 (А)
Потери мощности в проводах Pп =400*10=4*103 (Вт)
Мощность получаемая потребителем: P - Pп=105 - 4*103=96 (кВт)
Тогда часть мощности получаемая потребителем: (P - Pп)/P=96/100=0.96
Т.е. 96% передаваемой мощности получает потребитель.
Удачи
Передаваемая мощность P = U*I, где U - напряжение, I - ток в линии.
Потери мощности в проводах Pп = I2*R, где R - сопротивление проводов;
Тогда ток в линии: I=P/U=105/(5*103)=20 (А)
Потери мощности в проводах Pп =400*10=4*103 (Вт)
Мощность получаемая потребителем: P - Pп=105 - 4*103=96 (кВт)
Тогда часть мощности получаемая потребителем: (P - Pп)/P=96/100=0.96
Т.е. 96% передаваемой мощности получает потребитель.
Удачи
15.11.2010, 08:58
общий
это ответ
Здравствуйте, Посетитель - 344996!
Подобные задачи следует решать в общем виде. Обозначим через P передаваемую мощность, через P1 мощность потерь, через P2 - мощность получаемую потребителем. Тогда искомое отношение выражается как P2/P = (P - P1)/P = 1 - P1/P. Но P1 = I2R = (P/U)2R, P1/P = (P/U)2R/P = PR/U2, поэтому P2/P = 1 - PR/U2 = 1 - 100 • 103 • 10/(5 • 103)2 = 0,96, или 96 %.
С уважением.
Подобные задачи следует решать в общем виде. Обозначим через P передаваемую мощность, через P1 мощность потерь, через P2 - мощность получаемую потребителем. Тогда искомое отношение выражается как P2/P = (P - P1)/P = 1 - P1/P. Но P1 = I2R = (P/U)2R, P1/P = (P/U)2R/P = PR/U2, поэтому P2/P = 1 - PR/U2 = 1 - 100 • 103 • 10/(5 • 103)2 = 0,96, или 96 %.
С уважением.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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