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Консультация № 181322
13.12.2010, 19:16
0.00 руб.
0
4
1
Здравствуйте, уважаемые эксперты! Прошу Вас ответить на следующий вопрос:
Две лампы накаливания мощностью 100 и 80 Вт рассчитаны на напряжение 120 В. Какую мощность будет потреблять каждая лампа, если их включить в сеть последовательно? Как распределится напряжение между лампами?
Две лампы накаливания мощностью 100 и 80 Вт рассчитаны на напряжение 120 В. Какую мощность будет потреблять каждая лампа, если их включить в сеть последовательно? Как распределится напряжение между лампами?
Обсуждение
Неизвестный
13.12.2010, 21:05
общий
А какое напряжение в сети, куда будут включены лампы последовательно: 120, или другое?
15.12.2010, 12:07
общий
Дано:
P1=100Вт
P2=80Вт
U=120В
------------------------------
U1-?
U2-?
P1-?
P2-?
Решение:
мощность лампочки P=U2/R
откуда найдем сопротивление
R=U2/P
R1=U2/P1
R2=U2/P2
т.к. лампочки включены последовательно то Ro=R1+R2
найдем силу тока которую они потребляют
I=U/Ro
т.к. лампочки подключены последовательно, то сила тока на них одинакова, а напряжение U=U1+U2
далее для каждой лампочки
P1=I2*R1=(U/(U2/P1+U2/P2))2*U2/P1
P1=(120В/((120В)2/100Вт+(120В)2/80Вт))2*(120В)2/100Вт=19,75Вт
P2=I2*R2=(U/Ro)2*R2=(U/(U2/P1+U2/P2))2*U2/P2
P2= (120В/((120В)2/100Вт+(120В)2/80Вт))2*(120В)2/80Вт=24.69Вт
U1=I*R1=(U/(U2/P1+U2/P2))*U2/P1
U1=(120В/((120В)2/100Вт+(120В)2/80Вт))2*(120В)/100Вт=53.3В
U2=I*R2=(U/(U2/P1+U2/P2))*U2/P2
U2= (120В/((120В)2/100Вт+(120В)2/80Вт))*(120В)2/80Вт=66.7В
P1=100Вт
P2=80Вт
U=120В
------------------------------
U1-?
U2-?
P1-?
P2-?
Решение:
мощность лампочки P=U2/R
откуда найдем сопротивление
R=U2/P
R1=U2/P1
R2=U2/P2
т.к. лампочки включены последовательно то Ro=R1+R2
найдем силу тока которую они потребляют
I=U/Ro
т.к. лампочки подключены последовательно, то сила тока на них одинакова, а напряжение U=U1+U2
далее для каждой лампочки
P1=I2*R1=(U/(U2/P1+U2/P2))2*U2/P1
P1=(120В/((120В)2/100Вт+(120В)2/80Вт))2*(120В)2/100Вт=19,75Вт
P2=I2*R2=(U/Ro)2*R2=(U/(U2/P1+U2/P2))2*U2/P2
P2= (120В/((120В)2/100Вт+(120В)2/80Вт))2*(120В)2/80Вт=24.69Вт
U1=I*R1=(U/(U2/P1+U2/P2))*U2/P1
U1=(120В/((120В)2/100Вт+(120В)2/80Вт))2*(120В)/100Вт=53.3В
U2=I*R2=(U/(U2/P1+U2/P2))*U2/P2
U2= (120В/((120В)2/100Вт+(120В)2/80Вт))*(120В)2/80Вт=66.7В
Об авторе:
to live is to die
to live is to die
Неизвестный
15.12.2010, 12:19
общий
А можно так:
Рассчитываем сопротивление:
R = (UxU)/P
120х120=14400
14400:100=144 Ом
14400:80=180 Ом
120 Вольт - падение напряжения на 324 Ом
Определяем коэффициент:
144/324=0,44444444
180/324=0,5555556
Умножаем общее напряжение на коэффициент:
120*0,444444444444=53,333333333 - падение напряж. на лампе 100 Ватт
120*0,5555555555556=66,6666666 - падение напряж. на лампе 80 Ватт
Рассчитываем мощьность:
P=(UxU)/R
(53,33333x53,33333)/144=19,75 Ватт будет потреблять 100 Ваттная лампа
(66,6666666x66,6666666)/180=24,691 Ватт будет потреблять 80 Ваттная лампа
Рассчитываем сопротивление:
R = (UxU)/P
120х120=14400
14400:100=144 Ом
14400:80=180 Ом
120 Вольт - падение напряжения на 324 Ом
Определяем коэффициент:
144/324=0,44444444
180/324=0,5555556
Умножаем общее напряжение на коэффициент:
120*0,444444444444=53,333333333 - падение напряж. на лампе 100 Ватт
120*0,5555555555556=66,6666666 - падение напряж. на лампе 80 Ватт
Рассчитываем мощьность:
P=(UxU)/R
(53,33333x53,33333)/144=19,75 Ватт будет потреблять 100 Ваттная лампа
(66,6666666x66,6666666)/180=24,691 Ватт будет потреблять 80 Ваттная лампа
15.12.2010, 12:30
общий
это ответ
Здравствуйте, Иван Петрович!
Дано:
P1=100Вт
P2=80Вт
U=120В
------------------------------
U1-?
U2-?
P1-?
P2-?
Решение:
мощность лампочки P=U2/R
откуда найдем сопротивление
R=U2/P
R1=U2/P1
R2=U2/P2
т.к. лампочки включены последовательно то Ro=R1+R2
найдем силу тока которую они потребляют
I=U/Ro
т.к. лампочки подключены последовательно, то сила тока на них одинакова, а напряжение U=U1+U2
далее для каждой лампочки
P1=I2*R1=(U/(U2/P1+U2/P2))2*U2/P1
P1=(120В/((120В)2/100Вт+(120В)2/80Вт))2*(120В)2/100Вт=19,75Вт
P2=I2*R2=(U/Ro)2*R2=(U/(U2/P1+U2/P2))2*U2/P2
P2= (120В/((120В)2/100Вт+(120В)2/80Вт))2*(120В)2/80Вт=24.69Вт
U1=I*R1=(U/(U2/P1+U2/P2))*U2/P1
U1=(120В/((120В)2/100Вт+(120В)2/80Вт))2*(120В)/100Вт=53.3В
U2=I*R2=(U/(U2/P1+U2/P2))*U2/P2
U2= (120В/((120В)2/100Вт+(120В)2/80Вт))*(120В)2/80Вт=66.7В
Дано:
P1=100Вт
P2=80Вт
U=120В
------------------------------
U1-?
U2-?
P1-?
P2-?
Решение:
мощность лампочки P=U2/R
откуда найдем сопротивление
R=U2/P
R1=U2/P1
R2=U2/P2
т.к. лампочки включены последовательно то Ro=R1+R2
найдем силу тока которую они потребляют
I=U/Ro
т.к. лампочки подключены последовательно, то сила тока на них одинакова, а напряжение U=U1+U2
далее для каждой лампочки
P1=I2*R1=(U/(U2/P1+U2/P2))2*U2/P1
P1=(120В/((120В)2/100Вт+(120В)2/80Вт))2*(120В)2/100Вт=19,75Вт
P2=I2*R2=(U/Ro)2*R2=(U/(U2/P1+U2/P2))2*U2/P2
P2= (120В/((120В)2/100Вт+(120В)2/80Вт))2*(120В)2/80Вт=24.69Вт
U1=I*R1=(U/(U2/P1+U2/P2))*U2/P1
U1=(120В/((120В)2/100Вт+(120В)2/80Вт))2*(120В)/100Вт=53.3В
U2=I*R2=(U/(U2/P1+U2/P2))*U2/P2
U2= (120В/((120В)2/100Вт+(120В)2/80Вт))*(120В)2/80Вт=66.7В
5
Спасибо!!!!
Об авторе:
to live is to die
to live is to die
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