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Thermistor temperature sensitivity

  1. Dec 5, 2013 #1
    1. The problem statement, all variables and given/known data
    . (a) It was pointed out in Section 15.3 that the temperature sensitivity of conductivity in semiconductors make them superior to traditional thermocouples for certain high-precision temperature measurements. Such devices are referred to as thermistors. As a simple example, consider a wire of 0.5 mm in diameter × 10 mm long made of intrinsic silicon. If the resistance of the wire can be measured to within 10^-3 Ω, calculate the temperature sensitivity of this device at 300 K. (hint: The very small differences here may make you want to develop an expression for dσ/dT.)


    2. Relevant equations



    3. The attempt at a solution
    I know the equation relating temperature and conductivity is

    σ=σ_0e^(-E_g/2kT)

    So I integrate the formula to get dσ/dT = [σ_0(E_g/2k)e^(-E_g/2kT)]/T^2

    and I know the formula for conductivity
    σ=l/RA
    where l is the length, R resistance, and A area.

    My problem is that I don't know how to relate resistance sensitivity to temperature sensitivity
     
  2. jcsd
  3. Dec 6, 2013 #2
    problem has been solved, disregard
     
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