Circuits and Systems II
Hayder Radha
 1 
ECE 202
Homework Set #6
Due Wednesday, February 27, 2008 (In class)
ECE 202 – Circuits and Systems II
Spring 2008
Michigan State University
Department of Electrical and Computer Engineering
Please remember to follow the rules and policies outlined in the ECE 202 Homework
section of the course webpage:
http://www.egr.msu.edu/classes/ece202/radha
Inverse Laplace Transform
[1]
Find the inverse Laplace transform of the following functions:
(a)
()
22
ss
Fs
s
β
+
=
+
(b)
2
2
α
=
+
(c)
2
2
=
+
(d)
as
se
b
s
−
+
=
+
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View Full DocumentCircuits and Systems II
Hayder Radha
 2 
ECE 202
Circuit Analysis in the
s
Domain
[2]
The switch in the following circuit is closed prior to
0
t
=
, and it opens at
0
t
=
.
(a)
Transform the circuit into the Laplace (
s
) domain.
(b)
Derive the expression for the
s
domain current
( )
L
I
s
.
(c)
Derive the expression for the timedomain current
( )
L
it
.
[3]
Consider the following circuit.
(a)
Express the equivalent impedance
EQ
Z
as a rational function of
s
.
(b)
Identify the poles and zeros of
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 Spring '08
 RADHA
 Laplace, Systems II, Hayder Radha

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