Question

Calculations must include the equations used to solve the problem. No credit will be given if calculations do not reference the literal equation used or if the results do not include units. All calculations and results require 4 significant digits 1 Given the table of measured resistance values for an RTD shown below, find the device sensitivity, a constant, and 1'st order 1inear approximation equation used to predict the device resistance when referenced to 50 C. Assume no internal heating occurs while the measurements are taken. sensitivity = R(T) “ Temperature 어Resistance W

Answer 1

Given that Reference Termpesatne 50c - 333 kelvin (K) TheRelationsip betioeen the Resfetance and Temperature based on-the senenmRy ,S n k fsom the Pven able take tho that is Temperatureニoe and Resstrcedon st bbck 5o fiom the equa t an c01 equal to #3 k

800 = ao (l+x(-50) O d) the冠even Table Tahe the second Block fsom -Temperature=:30c ,If coe com kelvin that ctn be eauol ResPG tance RCT) %23있 60 agafo Use the equαtion 3 from eguanom (5) ond (S), thot os subtract equatfonfrom eaton 80

→fum-the g9ven Table use the 3rnd Block that fs Tempebatae uoc and RCT)-864 W Loft be equal -tr 343-40 = 3,3 k T=313 K Again use the equation 864 = ao (It (313-3a3) 264二a011-10A) 36y00-oo If we substitute a 33 eguatRon⑤ then a o

So substetu te ao value Pn equation ④ 20 -I lso ser.c?tfufity·o.oo541 k so The Reauided equation is m atu -these ooncluy fany Ts RCT)330 (it o 005t (T-333) R (r) 15988 T-A36 , 8 =