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Консультация № 129209
26.03.2008, 19:41
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Плоский воздушный конденсатор, расстояние между пластинами которого 5 см, заряжен до 200 В и отключен от источника. Площадь пластины 1 см^2. Найти напряжение на конденсаторе, если его пластины раздвинуты до 10 см. Найти работу, совершаемую при этом.
Обсуждение
Неизвестный
26.03.2008, 19:59
общий
это ответ
Здравствуйте, Луковский Серргей Анатольевич!
т.к. конденсатор отключен от сети, то заряд на пластинах меняться не будет
с=q/U
q=c*U = const (в нашем случае)
c1*U1=c2*U2 (1)
c=e*e0*S/d
из формулы видно, что емкость кондексатора уменьшаемся пропорционально увелечению расстояния между пластинами
с1=1*8.85*10^-12 Ф/м * 10^-4 м^2 / 0.05м=1.77*10^-14 Ф
т.к. расстояния увеличили в раза то емкость стала в 2 раза меньше c2=c1/2
(1)
u1*c1=u2*c2
u1*c1=u2*c1/2
u2=2*u1=600В
работа равна изменению энергии конденсатора:
W=cU^2 /2
A=W2-W1=C2*U2^2 /2 -C1*U1^2 /2=8*10^-10 Дж
т.к. конденсатор отключен от сети, то заряд на пластинах меняться не будет
с=q/U
q=c*U = const (в нашем случае)
c1*U1=c2*U2 (1)
c=e*e0*S/d
из формулы видно, что емкость кондексатора уменьшаемся пропорционально увелечению расстояния между пластинами
с1=1*8.85*10^-12 Ф/м * 10^-4 м^2 / 0.05м=1.77*10^-14 Ф
т.к. расстояния увеличили в раза то емкость стала в 2 раза меньше c2=c1/2
(1)
u1*c1=u2*c2
u1*c1=u2*c1/2
u2=2*u1=600В
работа равна изменению энергии конденсатора:
W=cU^2 /2
A=W2-W1=C2*U2^2 /2 -C1*U1^2 /2=8*10^-10 Дж
Неизвестный
27.03.2008, 10:48
общий
это ответ
Здравствуйте, Луковский Серргей Анатольевич!
К сожалению в ответе эксперта Tribak есть вычислительные ошибки
напряжение больше в 2 раза: u2=2*u1=2*200В=400В
Соответственно и работа несколько иная:
A=W2-W1=C2*U2^2 /2 -C1*U1^2 /2
A=W2-W1=C1*(2*U1^2) /4 -C1*U1^2 /2=C1*U1^2 -C1*U1^2 /2=C1*U1^2 /2
A=1,77*10^-14*200^2 /2=3.54*10^-10 Дж
К сожалению в ответе эксперта Tribak есть вычислительные ошибки
напряжение больше в 2 раза: u2=2*u1=2*200В=400В
Соответственно и работа несколько иная:
A=W2-W1=C2*U2^2 /2 -C1*U1^2 /2
A=W2-W1=C1*(2*U1^2) /4 -C1*U1^2 /2=C1*U1^2 -C1*U1^2 /2=C1*U1^2 /2
A=1,77*10^-14*200^2 /2=3.54*10^-10 Дж
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