Problem 예제.

Multiple Choice • Views 623 • Comments 0 • Last Updated at 1 month ago

$e_i(t)=Ri(t)+L\dfrac{di(t)}{dt}+ \dfrac{1}{C} \int i(t)dt$ 에서 모든 초기 조건을 0으로 하고 라플라스 변환하면 어떻게 되는가?

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$I(s) = \dfrac{Cs}{LCs^2+RCs+1}E_i(s)$

$I(s) = \dfrac{LCs}{LCs^2+RCs+1}E_i(s)$

$I(s) = \dfrac{C}{LCs^2+RCs+1}E_i(s)$

$I(s) = \dfrac{1}{LCs^2+RCs+1}E_i(s)$

Solution

$e_i(t) = Ri(t) + L \dfrac{di(t)}{dt} + \dfrac{1}{C} \int i(t)dt$

$E_i(s) = R I(s) + Ls I(s) + \dfrac{I(s)}{Cs}$

$I(s) = \dfrac{Cs}{LCs^2 + RCs + 1}E_i(s)$

Correct answer: 1