Q1- A thermistor has an exponential transfer function of the form:
$R_T = R_0 exp\left[\beta \left(\frac{1}{T} - \frac{1}{T_0}\right)\right]$
Given that:
$R_T$ is the sensor resistance in $[k\Omega]$
T is the temperature value in Kelvin $[^\circ K]$
$R_0 = 560 [k\Omega]$, $T_0 = 298 [^\circ K]$, and $\beta = 3950 [^\circ K]$
Hence:
a) Determine the sensitivity of the sensor in units of $[k\Omega / ^\circ K]$ at $T = 298 [^\circ K]$?
b) Use the result of part (a) to calculate a linear approximation for $R_T [k\Omega]$ as a function of the temperature T $[^\circ K]$?
c) Determine the % relative error in the value of $R_T [k\Omega]$ at $T = 308 [^\circ K]$, if the linear approximation calculated in part (b) was used?