Lesson 39 – Intro to
L
aplace Transforms and the Complex Frequency Domain.
(Sections 91and 92)
(CLO 91)
We are now entering a major new part of the course.
Remind the students of the basic tools they will
use in all circuits analysis.
Remind them of what was covered in timedomain circuit analysis.
Circuits with energystorage elements give rise to differential equations.
There are two types of sources associated with energystorage circuits: input sources and stored
energy sources.
Solutions to differential equations are generally described by exponentials – real, complex or
imaginary.
In stable circuits, the output generally consists of a transient response – that eventually goes
away – and a remaining response that does not change called the steadystate response.
Classical solutions of secondorder differential equations are messy to solve. Higherorder
equations become very difficult to solve.
A lot about a circuit’s behavior  especially the circuit’s timedomain performance  can be
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 Spring '08
 MAURICIODEOLIVERIA
 Laplace

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