By what factor is the resistance of a copper wire changed when its temperature is increased from 30.0°C to 115°C? The temperature coefficien

Question

By what factor is the resistance of a copper wire changed when its temperature is increased from 30.0°C to 115°C? The temperature coefficient of resistivity for copper = 3.9 × 10−3 (°C)−1

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Neala 4 months 2021-09-05T15:20:41+00:00 2 Answers 0 views 0

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    0
    2021-09-05T15:22:16+00:00

    Answer:

    The resistance of the wire increases by a factor of 1.3315

    Explanation:

    The relationship between resistance of a wire and its temperature change is given by

    R = R₀ (1 + αΔT)

    R = Resistance at any other temperature.

    R₀ = Resistance at a reference temperature.

    α = temlerature Coefficient of resistivity = 3.9 × 10⁻³ (°C)⁻¹

    ΔT = difference in twmlerature between the current temperature and the reference temperature = 115 – 30 = 85°C

    R = R₀ (1 + (0.0039)(85))

    R = R₀ (1.3315)

    R = 1.3315 R₀

    (R/R₀) = 1.3315

    0
    2021-09-05T15:22:33+00:00

    Explanation:

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