First slide

Temperature dependence

Question

A platinum resistance thermometer reads 0⁰ C when its resistance is 80Ω and 100⁰C when its resistance is 90Ω. Find the temperature at the platinum scale at which the resistance is 86Ω

Moderate

A

30⁰C
B

60⁰C
C

20⁰C
D

10⁰C

Solution

Temp → Resistance
0⁰C → R₀ = 80Ω
100⁰C → R₁₀₀ = 90Ω
t⁰C → R_t= 86Ω
We have $\large t=\frac {R_t-R_0}{R_{100}-R_0}\times 100^0 C$
$\large =\left ( \frac {86-80}{90-80} \right )\times 100=60^0C$

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