The temperature coefficient of resistivity for copper is 0.0068 (C°)-1. If a copper wire has a resistance of 104 Ω at 20°C, what is its resi

Question

The temperature coefficient of resistivity for copper is 0.0068 (C°)-1. If a copper wire has a resistance of 104 Ω at 20°C, what is its resistance 80°C?

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Đan Thu 4 years 2021-08-14T16:11:56+00:00 1 Answers 8 views 0

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  1. niczorrrr
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    2021-08-14T16:13:17+00:00
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    Answer:

    R₈₀ = 146.43 Ω

    Explanation:

    The resistance of a resistor depends upon many factors. One of the main factors of the change in resistance of a resistor is the change in temperature. The formula for the resistance at a temperature other than 20°C is given as follows:

    R₈₀ = R₀(1 + αΔT)

    where,

    R₈₀ = Resistance of wire at 80°C = ?

    R₀ = Resistance of wire at 20° C = 104 Ω

    α = Temperature coefficient of resistance for copper = 0.0068 °C⁻¹

    ΔT = T₂ – T₁ = 80°C – 20°C = 60°C

    Therefore,

    R₈₀ = (104 Ω)[1 + (0.0068°C⁻¹)(60°C)]

    R₈₀ = 146.43 Ω

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