Determine i(t)
where is a dirac delta function
i(t) is the current, with laplace transformation i got
where is a heaviside function
then they ask of i think it will be 0 but how do i see that? do i really need to integrate my i(t)?
regards!
Note: It is really bad style or notation to use i as a function name and then use i as the imaginary unit.
I don't recall the name of the theorem but If all of the poles of the laplace transform are in the left half plane, then
So in your case if you define then
Now if you take the laplace transform you get
If you take the laplace transform you get
So