Question

Relation between temperature and resistance of a conductor is ________

(a) Rt = Rref [1+t]

(b) Rt = Rref [1+α∆t]

(c) Rt = Rref [1-αt]

(d) Rt = Rref [1-t]

The question was asked in class test.

My doubt stems from Resistance Temperature Detector topic in section Transducers of Electrical Measurements

Answer 1

Correct choice is (b) Rt = Rref [1+α∆t]

To explain I would say: The relationship between temperature and resistance of a conductor is given by

Rt = Rref [1+α∆t]

where, Rt is the resistance of the conductor at t°C.

Rref is the resistance of the conductor at reference temperature

α is the temperature coefficient of resistance

∆t is the difference between the temperature being measured and the reference temperature.