a tungsten and coil has a resistance of 12 ohm at 15 degree celsius is the temperature coefficient of resistance of tungsten is 0.004 calcul

Question

a tungsten and coil has a resistance of 12 ohm at 15 degree celsius is the temperature coefficient of resistance of tungsten is 0.004 calculate the equal resistance at 80 degree Celsius​

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Calantha 4 years 2021-07-29T05:58:25+00:00 1 Answers 223 views 0

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  1. thachthao
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    2021-07-29T05:59:42+00:00
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    Answer:

    The resistance of the tungsten coil at 80 degrees Celsius is 15.12 ohm

    Explanation:

    The given parameters are;

    The resistance of the tungsten coil at 15 degrees Celsius = 12 ohm

    The temperature coefficient of resistance of tungsten = 0.004/°C

    The resistance of the tungsten coil at 80 degrees Celsius is found using the following relation;

    R₂ = R₁·[1 + α·(t₂ – t₁)]

    Where;

    R₁ = The resistance at the initial  temperature = 12 ohm

    R₂ = The resistance of tungsten at the final temperature

    t₁ = The initial temperature = 15 degrees Celsius

    t₂ = The final temperature = 80 degrees Celsius

    α = temperature coefficient of resistance of tungsten = 0.004/°C

    Therefore, we have;

    R₂ = 12×[1 + 0.004×(80 – 15)] = 15.12 ohm

    The resistance of the tungsten coil at 80 degrees Celsius = 15.12 ohm.

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