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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Tryphena 2 months 2021-09-02T14:56:01+00:00 1 Answers 0 views 0

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    2021-09-02T14:57:35+00:00

    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.

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