Answer to Question #195775 in Electrical Engineering for Maryam

Question #195775

Determine the values of P x and Ex for each of the following signals: (a) x 1 (t) = e- 21 u(t) 


1
Expert's answer
2021-05-21T04:04:01-0400

x1(t)=e2tu(t)x_1(t)=e^{-2t}u(t)

t=    x1(t)=0    t=\infin \implies x_1(t)=0 \implies It is energy signal 

Therefore, Power , Px=0

Energy , Ex=limt0t(e2t)2dt=limteutu0t=14JEx=\lim\limits_{t\to \infin} \int_0^t(e^{-2t})^2dt=\lim\limits_{t\to \infin} \frac{e^{-ut}}{-u}|_0^t=\frac{1}{4}J


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