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Задать вопрос экспертам

Консультация № 188137

26.10.2015, 14:01

0.00 руб.

26.10.2015, 17:00

0 1 1

Образование

Здравствуйте! Прошу помощи в следующем вопросе:
Надо решить такой тест:
Задача Б* необязательна.

Обсуждение

давно

Roman Chaplinsky / Химик CH

Модератор
156417
2175

29.10.2015, 00:25

общий

это ответ

Здравствуйте, 33korovy!
1. Резонансная частота колебательного контура равна f=1/(2[$960$][$8730$](LC))
и соответствующая ей длина волны [$955$]=c/f=2[$960$]c[$8730$](LC)=2[$183$][$960$][$183$]3[$183$]10⁸м/с[$183$][$8730$](10^-3Гн[$183$]10^-8Ф)=5961 м[$8776$]6 км
При такой разнице принимать сигнал контуром не получится.

2. Сравнивая с уравнением U=U₀[$183$]sin(2[$960$]ft), получаем:
амплитуда напряжения U₀=40 В
Эффективное напряжение U_эфф= U₀[$8730$]2=56,6 В
Частота f=5 Гц
Период T=1/f=0,2 с

3. при f=5 кГц
|Z_L|/|Z_C|=2[$960$]fL/(1/(2[$960$]fC))=(2[$960$]f)²LC=98,7[$8776$]100 раз
Равное сопротивление достигается при резонансной частоте f=1/(2[$960$][$8730$](LC))=503 Гц[$8776$]0,5 кГц

4. u=RI₀[$183$]cos(2[$960$]ft)=5Ом[$183$]10А[$183$]cos(2[$960$][$183$]50/300)=25 В

5. i=I₀[$183$]sin(2[$960$]ft+[$966$]₀)
I_эфф= I₀[$8730$]2=8,5[$8730$]2[$8776$]12 A
[$966$]₀=0,651 радиан=37,3[$176$]
f=314рад/с/2[$960$]=50 Гц
i_t=0.042с=8,12 А

6. f=1/(2[$960$][$8730$](LC))
f₁/f₁₊₂=(2[$960$][$8730$](L(C₁+C₂)))/(2[$960$][$8730$](LC₁))=[$8730$]((C₁+C₂)/C₁)
C₂=(f₁/f₁₊₂)²[$183$]C₁-C₁=15C₁=15 мкФ

Б* 1/8 периода - фаза равна 45[$176$], ток и напряжение равны 1/[$8730$]2 амплитуды а энергии электрического и магеитного поля равны 1/2 полной энергии.

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