Page 370 - Engineering Electromagnetics, 8th Edition
P. 370

352                ENGINEERING ELECTROMAGNETICS










                                                                        V


                                                                    V




                                                                     (a)









                                                                      A



                                                                      A




                                                                      (b)
                                                     Figure 10.23 Voltage (a) and current
                                                     (b)reflection diagrams for Example 10.11.


                                     50-  resistor, with the other half comprising the initial voltage wave. Thus V 1 +  =
                                     (1/2)V 0 = 5V. The wave reaches the 25-  load, where it reflects with reflection
                                     coefficient
                                                                   25 − 50    1
                                                                L =       =−
                                                                   25 + 50    3
                                     So V 1 −  =−(1/3)V 1 +  =−5/3V. This wave returns to the battery, where it encoun-
                                     ters reflection coefficient   g = 0. Thus, no further waves appear; steady state is
                                     reached.
                                        Once the voltage wave values are known, the current reflection diagram can be
                                     constructed. The values for the two current waves are
                                                                 V  +   5    1
                                                            I 1 +  =  1  =  =  A
                                                                  Z 0  50   10
   365   366   367   368   369   370   371   372   373   374   375