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10 May, 19:53

A 160 ft. long wire has a resistance of 16.2 12. What would the resistance of 8 ft. of wire be?

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  1. 10 May, 20:57
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    Answer: Resistance = 0.8106 ohms.

    Step-by-step explanation:

    Electrical resistance is proportional to the length of a wire.

    The relationship between resistance and length of a wire can be expressed as;

    L1/R1 = L2/R2

    Let L1 = 160 ft, R1 = 16.212 ohms

    L2 = 8ft, R2 = ?

    Substitutes all the parameters values into the formula

    160/16.212 = 8/R2

    Cross multiply

    160R2 = 129.696

    R2 = 129.696/160

    R2 = 0.8106 ohms.

    Therefore, the resistance of 8 ft. of wire will be 0.8106 ohms.
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