A platinum-resistance thermometer has a resistance of 10 ω at 0°C and 18 ω at 100°C. Assuming that resistance changes uniformly with temperature, what is the resistance of the thermometer when the temperature is 45°C?
18ω ⇔ 100ºC
x ⇔ 45ºC
10ω ⇔ 0ºC
\(\frac{ x - 10}{18 - 10} = \frac{ 45 - 0}{ 100 - 0}\)
100x - 1000 = 45 x 8
100x = 360 + 1000 = 1360
x = \(\frac{1360}{100}\) = 13.6.
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