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!

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- Oct 4th 2012, 10:45 AMSkruvenLaplace transform integral equation
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! - Oct 4th 2012, 12:17 PMMaxJasperRe: Laplace transform integral equation
- Oct 4th 2012, 06:39 PMTheEmptySetRe: Laplace transform integral equation
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