# converting from T-domain to S-domain?

by mhnassif
Tags: laplace, laplace tranform, s-domain, t-domain
 P: 4 1. The problem statement, all variables and given/known data convert T-domain to S-domain F(t)= e^-4t *sin10t 2. Relevant equations 3. The attempt at a solution sin10t converted to 10/[(S^2)+100] but how can i convert e^-4t ?
 P: 39 You can use a table of laplace transforms to find this easily: http://www.vibrationdata.com/Laplace.htm
 P: 4 Thank you, I know exp(-at) on s-domain will be But is the Alpha sign a constant, to replace it with a value?
P: 39

## converting from T-domain to S-domain?

I just took a closer look at that table, I'm not sure why they used a and alpha. Basically this should be:

$$\mathcal{L}\left(e^{-at})\right = \frac{1}{s+a}$$

Hope that helps,

Ryan
P: 4
 Quote by ryan88 I just took a closer look at that table, I'm not sure why they used a and alpha. Basically this should be: $$\mathcal{L}\left(e^{-at})\right = \frac{1}{s+a}$$ Hope that helps, Ryan
Solved ,, Thank You ,

Have a nice day

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