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23 May, 04:59

14. High-voltage power lines are a familiar sight throughout the country. The aluminum wire used for some of these lines has a cross-sectional area of 4.9 x 10-4 m2. What is the resistance of ten kilometers of this wire

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  1. 23 May, 05:16
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    The resistance of the aluminium wire is 0.541 ohms

    Explanation:

    Given:

    Cross sectional area of the aluminum wire, A = 4.9 x 10-4 m2

    Length of the wire, L = 10 km = 10,000 m

    Resistance of the wire = (pL) / A

    Where:

    p is resistivity of aluminium wire = 2.65 x 10^-8 ohm-m

    L is length of the wire

    A is cross sectional area of the wire

    Substitute these values and solve for resistance of the wire.

    Resistance = (2.65 x 10^-8 x 10,000) / (4.9 x 10^-4)

    Resistance = 0.541 ohms

    Therefore, the resistance of the aluminium wire is 0.541 ohms
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