Chapter 15 Advanced Circuit Analysis Chapter Objectives: Know the definition of the Laplace transform. Be familiar with the properties of the Laplace transform. Be able to find the inverse Laplace transform. Learn the concept of convolution. Apply what is learned to integrodifferential equations. Huseyin Bilgekul Eeng 224 Circuit Theory II Department of Electrical and Electronic Engineering Eastern Mediterranean University

Fig. 15.1 Region of convergence for the Laplace transform

Fig. 15.3 A periodic function

Fig. 15.5 Decomposition of the periodic function in Fig. 15.2

Fig. 15.10 For Example 15.12

Fig. 15.11 (a) Folding x1(), (b) shifting x1(-) by t

Fig. 15.12 Overlapping of x1(t-) and x2() for: (a) 0 < t < 1, (b) 1 < t < 2, (c) 2 < t < 2, (d) 3 < t < 4,(e) t > 4.

Fig. 15.13 Convolution of signals x1(t) and x2(t) in Fig. 15.10.