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A carbon resistor is to be used as a thermometer. On a winter day when the temperature is 4.00 ∘C, the resistance of the carbon resistor is
Question
A carbon resistor is to be used as a thermometer. On a winter day when the temperature is 4.00 ∘C, the resistance of the carbon resistor is 217.0 Ω . What is the temperature on a spring day when the resistance is 215.1 Ω ? Take the temperature coefficient of resistivity for carbon to be α = −5.00×10−4 C−1 .
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2021-09-02T14:56:01+00:00
2021-09-02T14:56:01+00:00 1 Answers
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Answer:
21.5 °C.
Explanation:
Given:
α = −5.00 × 10−4 °C−1
To = 4°C
Ro = 217 Ω
Rt = 215.1 Ω
Rt/Ro = 1 + α(T – To)
215.1/217 = 1 + (-5 × 10^−4) × (T – 4)
-0.00876 = -5 × 10^−4 × (T – 4)
17.5 = (T – 4)
T = 21.5 °C.