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22 July, 13:41

What is the diameter of a 1.00-m length of tungsten wire whose resistance is 0.32 ohms?

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  1. 22 July, 15:47
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    Answer: The Diameter = 4.72 * 10^-4 metre = 0.000472m

    Explanation:

    Length of the tungsten wire = (L) 1.00m

    Resistance of the tungsten wire (R) = 0.32ohms

    Diameter (D) = ?

    Resistivity (p) which is a constant = 5.6 * 10^-8

    Pie (π) = 3.14

    Now Using the formula

    resistance = (resistivity * length) / area

    R = pL / A

    R = pL / πr²

    R = pL / π (D/2) ²

    D² = 4pL / πR

    D = √{ (4pL) / (πR) }

    D = √{ (4 * 5.6 * 10^-8 * 1.0) / (3.14 * 0.32) }

    D = 4.72 * 10^-4 metre = 0.000472 m
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