Page 82 - LAPLACE TRANSFORM
P. 82

4      −4
                       I(s) =   +
                              s    (s + 5)


                         (  ) =    −       −            s




                               = 0.1               ;

                             (  ) = 4 − 4e −5t  Amp


                                    = 4 − 4e −5(0.1)


                                    = 4 − 2.426

                                    =   .              




                       VR (t) =   (  )      


                                = (1.574 )    (15)

                                = 23.61 Volts




                                 i(t) = 4 −  4e −5t  Amp          (  )     (   )      
                                                                           
                                                                      =        = (a)   
                               (  )
                                  = (0) − (4)( −5)(   −5    )        (  )     (   −     )
                                                                   =      = (−a)    −    
                                                                          

                                         =  20   −5               (  )     (   )
                                                                           
                                                                                   
                                                                   =     = (5)   
                                                                          

                                                                  (  )     (   −     )  −    
                                                                   =      = (−5)   
                                                                          
                                         =  20(   −5(0.1)  )

                                         =     .     




                       VL (t) = L       (  )
                                      

                                = (3)    (12.13)


                                = 36.39 Volts




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