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256 Temperature measurement

                                                    The  resistivity  of  a  conductor  is  temperature-
                                                   dependent. The  temperature coefficient  of  resist-
                                                   ivity  is  positive  for metals, that  is,  the resistance
                                                   increases with temperature, and for semiconductors
                                                   the temperature coefficient is negative. As a general
                                                   guide at normal ambient temperatures the coeffi-
                                                   cient of resistivity of most elemental metals lies in
                                                   the region of 0.35 percent to 0.7 percent per  C.
                                                     Table  14.12 shows the resistivity and tempera-
                                                   ture coefficients for a number of common metals:
                                                   both elements and alloys.
                                                    The metals most  used  for resistance measure-
                                                   ment  are  platinum,  nickel,  and  copper.  These
                                                   metals have the advantage that they can be manu-
                                                   factured  to a  high  degree of  purity  and  conse-
                          I                        quently  they  can  be  made  with  very  high
                         I !
                                                   reproductibility  of  resistance  characteristics.
          Figure 14.15  Helical bimetal strip.     Copper has the disadvantage  of  a low resistivity
                                                   resulting in inconveniently large sensing elements
                                                   and has the further disadvantage  of  poor  resist-
           Due to its robust construction, this instrument
                                                   ance to corrosion resulting in instability of  elec-
          is  used  on many industrial plants, and a slightly   trical characteristics. The main area of application
          modified form is used in many homes and offices   of copper for resistance thermometers is in elec-
          to indicate room temperature.  It can be made for   tronic instrumentation where it is in a controlled
          a large variety of temperature ranges and is used   environment and where an essentially linear tem-
          in many places where the more fragile mercury-   perature characteristic is required.
          in-glass thermometer was formerly used.
                                                   14.4.1.1  Platinum resistance  thermometers

          14.4  Measurement techniques:            Platinum  is  the  standard  material  used  in  the
          electrical                               resistance thermometer  which  defines the  Inter-
                                                   national  Practical  Temperature  Scale,  not
                                                   because it  has a  particularly  high  coefficient  of
          14.4.1  Resistance thermometers
                                                   resistivity, but because of its stability in use.  In
          All  metals are  electrical conductors which at all   fact, a high coefficient is not, in general, necessary
          but very low temperatures offer resistance to the
          passage of electric current. The electrical resistance
         exhibited by a conductor is measured in ohms. The   Table 14.12  Resistivities of  different metals
         proportional relationship of electrical current and
         potential difference is given by Ohm's law:   Metal        Resistivity   Tempemture
                                                                    at 20°C     coejfieient of'
             R = E/I                      (14.10)                   microhms.   resistivity
         where  R  is  resistance  in  ohms,  E  is  potential      meter       ("C  ')
         difference in volts, and I  is current  in amperes.   Aluminum   282.4   0.0039
         Different  metals  show  widely  different  resist-   Brass (yellow)   700   0.002
         ivities. The resistance of  a conductor  is propor-   Constantan   4900   10-5
         tional to its length and inversely proportional  to   Copper (annealed)   172.4   0.00393
         its cross-sectional area, i.e.,           Gold               244       0.0034
                  L                                Iron (99.98%)      1000      0.005
             R=p-                         (14.11)   Mercury          9578       0.00087
                  A                                Nichrome         10 000      0.0004
                                                                      780
         or                                        Nickel           11 060      0.0066
                                                   Platinum (99.85%)
                                                                                0.003 927
                  A                                Silver
             p=R-                         (14.12)                     159       0.0038
                  L                                Tungsten           560       0.0045
                                                   __
         where R is resistance of the conductor, p is resist-   1.  Resistivities  of  metals  dependent  on  the  purity  or  exact
          ivity of the material, L is length of the conductor,   composition  of  alloys.  Some  of  the  above  figures  represent
          and  A  is  cross-sectional area  of  the  conductor.   average values.
         The units of resistivity are ohms. meter.   2.  Temperature  coefficients  of  resistivity  vary  slightly  with
                                                   temperature. The above values are for 20°C.
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