The resistance of a platinum wire is found to be 11.000 Ohm at the ice point. 15

Question

The resistance of a platinum wire is found to be 11.000 Ohm at the ice point. 15.247 Ohm at the steam point, and 28.887 Ohm at the sulfur point. Find the constants a and b in the equation R' = R'_0 (1 + a theta + b theta^2), and plot R' against Celsius temperature theta in the range from 0 to 660 degree C. Data Find Diagram (if appropriate) Formulas Algebraic manipulations of formulas? Conversion of units? Evaluation Cheek (optional) Sign, Value, Units, Other Now do the linear plot. Plot must be handwritten in pencil.

Explanation / Answer

R 0 = 11.000

R1 = R01 + A×100 + B×100^2

15.247 = 11 + 1100A + 11×10^4 B

3.861 × 10^-3 = A + 100B ..............(i)

And 28.887 = 11 + 445×11A + 445^2×11B

3.6541×10^-3 = A + 445B .............(ii)

equation ( ii ) -( i ) gives.

B = -6×10^-7

A = 3.921 × 10-3

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