Page 469 - Instrumentation Reference Book 3E
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452  Electrical measurements


            rectification @Zt.
            Half-wave
                                                   \L
                                     Vout


                                     R                          Vi  n






                                                                 Vin   Figure 20.32 A.c.signal
                                                                       precision rectification.










               Multiplier  I   Low-Pass  '   Square-root
                           filter       extractor
















                                       Under steady-state conditions

                                                                Figure 20.33  (a) RMS evaluation by
                                                                analog multiplication; (b) a.c./d.c.
                             (b)                                conversion using thermal techniques.
            20.4  Power measurement                   then i(t)  must be of the form

            For a two-terminal passive network if the instant-   i(t)  =i sin (ut + 4)
            aneous voltage across the network is v(t) and the
            instantaneous  current  through  it  is  i(t)  then   and the instankmeous Power, P(t). is given by
            the instantaneous power, p(t), taken  or returned   p(t) = v(t)  i(t)  = i-i sin wt sin (wt + 4)
            to the source is given by
                                                      The average power  dissipated by the network  is
                p(t) = v(t) . i(t)
                                                      given by
            For a linear network, if v(t)  is sinusoidal, i.e.,
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