Page 8 - Circuit Analysis II with MATLAB Applications
P. 8
The Delta Function....................................................................................................................3-12
Sampling Property of the Delta Function..................................................................................3-12
Sifting Property of the Delta Function ......................................................................................3-13
Higher Order Delta Functions ...................................................................................................3-15
Summary....................................................................................................................................3-19
Exercises....................................................................................................................................3-20
Solutions to Exercises................................................................................................................3-21
Chapter 4
The Laplace Transformation
Definition of the Laplace Transformation...................................................................................4-1
Properties of the Laplace Transform ...........................................................................................4-2
The Laplace Transform of Common Functions of Time...........................................................4-12
The Laplace Transform of Common Waveforms......................................................................4-23
Summary....................................................................................................................................4-29
Exercises....................................................................................................................................4-34
Solutions to Exercises................................................................................................................4-37
Chapter 5
The Inverse Laplace Transformation
The Inverse Laplace Transform Integral .....................................................................................5-1
Partial Fraction Expansion...........................................................................................................5-1
Case for m t n............................................................................................................................5-13
Alternate Method of Partial Fraction Expansion.......................................................................5-15
Summary....................................................................................................................................5-18
Exercises....................................................................................................................................5-20
Solutions to Exercises................................................................................................................5-22
Chapter 6
Circuit Analysis with Laplace Transforms
Circuit Transformation from Time to Complex Frequency ........................................................6-1
Complex Impedance Z(s) ............................................................................................................6-8
Complex Admittance Y(s).........................................................................................................6-10
Transfer Functions.....................................................................................................................6-13
Summary....................................................................................................................................6-17
Exercises....................................................................................................................................6-18
Solutions to Exercises................................................................................................................6-21
ii Circuit Analysis II with MATLAB Applications
Orchard Publications
