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8 July, 03:30

An aluminum wire is 5.87 m long and has a diameter of 6.07 mm.

Aluminum has a resistivity of 2.82x10-8 Ohm-meters. What is the

resistance of this wire?

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Answers (1)
  1. 8 July, 04:37
    0
    Answer: 5.72 x 10-3Ω

    Explanation:

    Hi, to answer this question, first we have to calculate the cross sectional area of the cable:

    Diameter (D) = 6.07 mm

    Since: 1000mm = 1m

    6.07mm / 1000mm/m = 0.00607 meters

    Area of a circle : π (d/2) ^2

    A = π (0.00607/2) ^2 = 0.000028937 m2

    Resistance formula:

    Resistance (R) = P (resistivity) L (length) : A (cross sectional area)

    Replacing with the values given:

    R = (2.82x10-8 x 5.87) / 0.000028937

    R = 5.72 x 10-3Ω

    Feel free to ask for more if needed or if you did not understand something.
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