Page 112 - Schaum's Outline of Theory and Problems of Electric Circuits
P. 112

Waveforms and Signals














               6.1  INTRODUCTION
                   The voltages and currents in electric circuits are described by three classes of time functions:

                    (i)  Periodic functions
                    (ii)  Nonperiodic functions
                   (iii)  Random functions

               In this chapter the time domain of all functions is  1 < t < 1 and the terms function, waveform, and
               signal are used interchangeably.





               6.2  PERIODIC FUNCTIONS
                   A signal vðtÞ is periodic with period T if
                                                vðtÞ¼ vðt þ TÞ   for all t
                   Four types of periodic functions which are specified for one period T and corresponding graphs are
               as follows:
               (a) Sine wave:
                                                   v ðtÞ¼ V sin 2 t=T                                ð1Þ
                                                    1
                                                           0
                   See Fig. 6-1(a).















                                                        Fig. 6-1(a)

                                                          101
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