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16 May, 01:42

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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  1. 16 May, 04:30
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    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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