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Digital voltmeters and digital multimeters  449

                                                      low  and the  power  ground.  It is  available  as  a
                                                      terminal  of  the  input  of  the  instrument.  If  the
                                                      guard is connected to the low of the measurement
                                                      circuit then the effect of current flow between the
                                                      low terminal  and guard  is  eliminated since they
                                               Time   are at the same potential. The potential dividing
                                                      action now occurs between the residual  leakage
                                                      impedance between low and power ground in the
                                                      presence of the guard. The value of these leakage
                                                      impedances are of  order  10"R  and 2.5pF. The
                                                      d.c.  common-mode  rejection  has  now  been
                 I                                    increased  to  -160dB  and  the  50Hz  comrnon-
                 i-            156 ps                 mode  rejection  to  -122dB.  Thus  a  d.c.  com-
                                                      mon-mode  signal of  l00V will produce an input
                               1 ms                   voltage of  1 pV and a 20-V, 50 Hz common-mode
             Figure 201.29  Effectof time-varying inputon pulse-
             width ADC. Courtesy Solartron Instruments Ltd.   signal will produce an input of less than 20 pV.
                                                        In situations where there is no common-mode
                                                      signal the guard should be connected to the signal
             If a transducer is situated some distance away from   low, otherwise unwanted  signals may  be  picked
             its associated DVM the common-mode signal may   up from the guard.
             be generated by line-frequency ground currents as
             shown in Figure 20.31(b) and thus the potential to   20.3.2.2  A.c./d.c. convetxion
             be measured may be superimposed on an a.c. line-
             frequency common-mode  signal. Figure  20.31(c)   Two techniques are commonly used in a.c. voltage
             shows the equivalent circuit for the measurement   and  current  measurement  using  digital  instru-
             circuit and the input of the DVM or DMM. RA   ments.  Low-cost  DVMs  and  DMMs  employ  a
             and Rg represent the high and low side resistances   mean absolute value measurement-rms indicating
             of the measurement circuit, Ri, the input resistance   technique similar to that employed in ax. current
             of the DVM or DMM, and Ri and Ci the leakage   and voltage measurement using a permanent mag-
             impedance between the low terminal of the instru-   net-moving coil instrument.  By the  use  of  oper-
             ment and power ground. The leakage impedance   ational techniques as  shown in  Figure  20.32  the
             between  the  high  terminal  and  the  instrument   effect of the forward diode drop can be reduced
             ground can be neglected because the high side is   and  thus precision rectification can  be  achieved.
             usually a  single wire whereas the  low side often   However, because the instrument is then not rms
             consists  of  a  large  metal  plate  or  plane.   sensing but relies on the waveform being sinusoidal
             The divider consisting of RB and Pzi and  Ci coii-   for correct indication this technique suffers from
             verts common-mode signals to input signals. Typ-   the Form Factor errors shown in Section 20.2.1.3.
             ically Ri is 109R and Ci may be as high as 2.5 nF.   True rms measurement can be obtained either
             For specification purposes RA is taken as zero and   by  use  of  analog  electronic  multipliers  and
             Rg  is taken  as  1 kR. Thus  at d.c. the  common-   square-root  extractors.  as  shown  in  Figure
             mode  rejection  is  -120dB  and  at  50Hz  it  is   20.33(a), or by the use of thermal converters, as
             -62  dB.                                 shown in Figure 20.33(b). High-precision instru-
               The common-mode rejection can be improved   ments employ vacuum thermocouples to effect an
             by the addition of an input guard. This is shown   a.c./d.c. transfer. Brodie (1984) describes an a.c.
             in  Figure 20.31(d) end can be considered  as the   voltmeter using such a technique which provides
             addition of a metal box around the input circuit.   a measurement accuracy of  160 ppm for any sig-
             This metal  box is insulated  both from the input   nal  level  from  l00mV to  125V in  a  frequency


             Table 20.6  Weference voltage sources
                                               Ilfestorz cell  Compensated  Zener  Actise Zener  Bandgap device
             Stable level.  I/                 1.018    6.4            I          1
             Temperature coefficient parts in  lo6 per deg C  -40   1   0.3      30
             Internal resistance               500 R    15R at 7.5mA      at  lma
                                               (in all cases, with op. amp. can be reduced to 0.001 0)
             Aging, parts in  lo6 per year     0.1 to 3   2 to  10     20         100
             Noise. LLV rms                    0.1      1              I          6
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