TABLE A gives the response of a particular temperature sensi

TABLE A gives the response of a particular temperature sensing element over the temperature range of 0 degreeC to 250 degreeC. a) Determine the equation of the ideal straight line for the sensing element over the temperature range of 0 degreeC to 250 degreeC. b) Copy the table and complete rows 3 and 4. [R(ISL) is the ideal straight line value of resistance and N(T) is the non-linearity of the element.] c) Draw a graph of the non-linearity N(T) against temperature. d) Determine the maximum non-linearity of the sensor as a percentage of output span.

Solution

T=0:50:250
n=length(T);
R=[120 178 201 249 303 364]
sR=sum(R);
sT=sum(T);
sT2=sum(T.^2);
sTR=sum(T.*R);
A=[n sT;sT sT2];
B=[sR;sTR];
X=A\\B;
a=X(1);
b=X(2);
R_ISL=a+b.*T
N=(R-R_ISL)./R

>> m1

T =

     0    50   100   150   200   250

R =

   120   178   201   249   303   364

R_ISL =

118.4762 165.4190 212.3619 259.3048 306.2476 353.1905

N =

    0.0127    0.0707   -0.0565   -0.0414   -0.0107    0.0297