notes/Laplace Transforms.md

385 B

General form:

\int_{0-}^{\infty} f(t) e^{-st} dt

Note: s = \frac{1}{time} and is complex. Why? Because the inverse of time is frequency! The limit 0- is there for the Dirac impulse function at time 0.

Also consider the step function, 1/s. Differentiate what do you get? 1. Dirac impulse function!!!

Worked Example RC Low Pass