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Practice of length measurement for industrial use  61

            alternative inductive and capacitive methods; the                 Interroyatio~
            impedance  of  a  resistance  unit  set  to  give  fine
            discrimination  generally is  required  to  be  high
            with subsequent inherent  resistance noise gener-
            ation. These units are variously described in most
            general  instrumentation  texts.  The  alternative
            method,  Figure  3.9(b),  makes  use  of  strain  of
            the  bulk  properties  of  the  resistance,  the  most                    (3)
            used  method  being  the  resistance  strain  gauge.      Induction depends on
                                                                      number of turns
            As strain gauges are the subject of Chapter 4 they
            will not be discussed further at this stage.
              An  alternative  bulk  resistance  method  that
            sometimes has application  is  to  use  a  material,
            such  as  carbon  in  disc  form,  using  the  input
            length change to alter the force of surface contact
            between the discs. This alters the pile resistance.
            The method requires considerable force from the
            input and, therefore, has restricted application. It                      ( b)
            does, however, have high electric current-carrying
            capability and can often be used to drive directly   Input
            quite powerful control circuits without the need
            for electronic amplification. The bulk properties                      'rogation CilCUlfry
            method  can only transduce small relative length
            changes of an interval. Practical reasons generally
            restrict  its use to gauge intervals of  a few milli-   VsrVlny COupliny
            meters and to strains of that interval of around 1   between coils
            percent.

                                                                 armatUre             (C)
            3.5.3.2  Electrical magnetic inductive processes      in coils
                                                      Figure 3.1 0  Electrical-inductance forms of sensor.
            In general, the two main groups that use electrical   (a) Turnsvariation with length change. (b) Reluctance
            inductive processes are those that vary the induct-   variation with length change. (c) Mutual inductance change
            ance value by  geometry change,  and those that   with length change.
            generate  a  signal by  the  law  of  electromagnetic
            induction.
              An  electrical inductance  circuit component is
            formed  by  current-carrying  wire(s) producing  a
            magnetic  field  which  tends  to  impede  current
            change in dynamic current situations. The use of
            a magnetic  circuit  enhances the  effect; it  is  not
            absolutely  essential,  but  is  generally  found  in
            inductive  sensors. Change  of  the  magnetic field
            distribution  of  an  inductor  changes  its  induct-
            ance. Length  sensors make  use  of this principle   Figure 3.11  Magnetic-reluctance proximity sensor.
                                                      Courtesy, Bruel & Kjaer Ltd.
            by using a. length change of the mechanical struc-
            ture of an inductance to vary the inductance. This
            can  be  achieved by  varying the turns,  changing   more  detail,  are  examples  of  the  mainly  used
            the  magnetic  circuit  reluctance,  or  by  inducing   forms of Figures 3.10(b) and 3.10(c).
            effects by  mutual  inductance.  Various  forms of   Figure 3.11 shows a single-coil proximity detec-
            electric circuit  are  then  applied  to  convert  the   tor that is  placed close to a suitable, high mag-
            inductance change to an electronic output signal.   netic permeability plate attached to or part of the
              Figure  3.10 shows these three options in their   subject.  The  sensor  would  be  mounted  around
            primitive form. In some applications such simple   2 mm from the plate. As the plate moves relative
            arrangements may suffice but the addition of bal-   to  the  unit  the  reluctance  of  the  iron  circuit;
            anced,  differential  arrangements  and  use  of   formed  by  the  unit,  the  plate,  and  the  air-gap,
            phase-sensitive  detection,  where  applicable,  is   varies as the air-gap changes. When the unit has
            often very cost-effective for the performance and   a  permanent  magnet  included  in  the  magnetic
            stability are greatly improved. Now described, in   circuit  then  movement  will  generate  a  voltage
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