Circuit Applications of 
                                                  Laplace Transform
                                                                   Chairul Hudaya, ST, M.Sc
                                                           Electric Power & Energy Studies (EPES)
                                                            Department of Electrical Engineering
                                                                      UnivUniverersitysity ofof IndonesiaIndonesia
                                                                  http://www.ee.ui.ac.id/epes
          Depok, October, 2009                                               Laplace Transform                                                 Electric Circuit
          Depok, October, 2009                                                                                                                 Electric Circuit
                                                      Circuit apppplications
                  1.              Transfer functions
                  2.              Convolution integrals
                  3.              RLC circuit with initial conditions
                                                                        R → R
                                                                         L → sL
                                                                        C → 11
                                                                                               sC
          Depok, October, 2009                                               Laplace Transform                                                 Electric Circuit
                                                          Transfer function
                                                    x(t)                         h(t)                           y(t)
                                                                               Network
                                                                                System
                       InIn timetime domain,domain,                         yy((t)) = h((t))∗ x((t))
                       In s-domain, Y(s)= H(s)X(s)
               ∴Transferfunction,H(s)= Y(s) = Output(s)
                                                                                                 X((s))                  Inpput((s))
          Depok, October, 2009                                               Laplace Transform                                                 Electric Circuit
                                                                    Exampple 1
                   For the following circuit, find H(s)=V (s)/V(s). 
                   Assume zero initial conditions.                                                                             o               i
          Depok, October, 2009                                               Laplace Transform                                                 Electric Circuit