Question #322741

The resistance of a resistance thermometer at the ice point is 40 Ω. Its resistance at temperatures T1 and T2 are 48 Ω and 53.2 Ω respectively. What is the ratio of T2 and T1?


1
Expert's answer
2022-04-04T09:04:50-0400

Answer

Temperature at at T°C is given

RT=R0(1+α(T2T1))R_T=R_0(1+\alpha(T_2-T_1))

So

α=1T2T1(RTR01)\alpha=\frac{1}{T_2-T_1}* (\frac{R_T}{R_0}-1)

Apply in both case

α=1T2T10.2=1T2T10.325\alpha=\frac{1}{T_2-T_1}* 0.2=\frac{1}{T_2-T_1}* 0.325

So this equation gives the ratio of temperature.


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