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490  Electrical measurements

                V,  = Vsin  at










                                              Lissajous figure

                                         00



                 0”          30”          60”         90“

                          Q

                             120”
                                        150’         18b.
                                      (C)
            Vi” = Vi, -m
                                     To x plates
                  sin
                     ut
                                     of OscilloscoDe


                         ca Icu la ble                 Resultant Lissajous
                         phase                         figure when @  = O
                         shifter   V2 out = V2  OUt sin (ut +e)
                                      (d)
            Figure 20.81  (continued) (c) phase measurement using Lissajous figures; (d) improved phase measurement using
            Lissajous figures.
            20.1 0  References                       Clarke,  F.  J. J.  and  J.  R.  Stockton,  “Principles  and
                                                       theory of wattmeters operating on the basis of regu-
            Analog  Devices,  Data  Acquisition  Databook,  Analog   larly spaced sample pairs,” J. Pliys. E: Sei. Instrzrrn.,
             Devices, Norwood,  Mass., 10, 123-125  (1984)   15, 645-652  (1982)
            Arbel, A. F., Analog Signal Processing and Instrunzenta-   Dix, C. H., “Calculated performance  of  a digital sam-
             tion, Cambridge University Press, Cambridge (1980)   pling  wattmeter  using  systematic  sampling.”  Prac.
            Bailey, A. E. “Units  and standards of  measurement,’’   I.E.E., 129, Part A, No. 3,  172-175  (1982)
             J. Phys. E: Sci. Znstr~rvz., 15, 849-856  (1982)   Dix,  C. H. and A. E. Bailey, “Electrical Standards  of
            Bishop, J. and E. Cohen, “Hall effect devices in power   Measurement - Part 1 D. C. and low frequency stand-
             measurement,”  Electronic Engineeying (GB), 45, No.   ards.” Proc. I.E.E., 122, 1018-1036  (1975)
             548, 57-61  (1973)                      Fantom, A.  E., Microwave  Power  Measurenzent, Peter
            British Standards Institution, BS 3938: 1973: Specifica-   Peregrinus for the IEE, Hitchin (1985)
             tion for Current Transformers,  BSI, London (1973)   Froelich.  M.,  “The  influence  of  the  pH  value  of
            British Standards Institution, BS 3941: 1974: Spec$ica-   the  electrolyte  on  the  e.m.f.  stability  of  the
             tion for  Voltage Transformers, BSI. London (1974)   international  Weston  cell,”  Metrologia,  10,  35-39
            British Standards Institution, BS 89: 1977: Specification   (1974)
             for  Direct  Acting  Electrical  Measuring  bistrirments   Goldman,  D. T. and R. J. Bell,  SI:  The Iriternational
             and their rlccessories, BSI. London (1977)   Systenz qf  Units, HMSO, London (1982)
            Brodie, B.,  “A  160ppm digital voltmeter for use in ac   Golding, E. W. and F. C. Widdis. Electrical Measwe-
             calibration,”  Electronic  Engineering  (GB), 56.  No.   nzents  and  Measuring  Instrunients,  5th  ed.,  Pitman,
             693, 53-59  (1984)                        London (1963)
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