Laplace transforms: How do we know that the s-domain is complex?

Vol

New member
Joined
May 23, 2018
Messages
37
Hi. In the Laplace transform, what is s? I heard it includes complex numbers. What does this mean?:sad:
 
Last edited:

A_W_7

New member
Joined
Jun 19, 2018
Messages
1
Hi!
Laplace Transform is a complex function of complex variable.
It's often restricted to functions of time.
It is used to solve differential equations in control engineering, electrical engineering a lot.
It transforms ODE to Simple algebraic equation which can be solved easily..
s in Laplace transform is nothing but a complex number real and imaginary part.
s is called frequency domain in which
real part shows time constant of exponential growth and imaginary part shows frequency of simple harmonic motion.
For example,
In an AC circuit, there is a power source with sinusoidal current and other stuffs related to it..
Hope it helped you :)
 
Top