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8 February, 21:34

How long does it take electrons to get from a car battery to the starting motor? Assume the current is 260 A and the electrons travel through a copper wire with cross-sectional area 0.200 cm2 and length 1.00 m. The number of charge carriers per unit volume is 8.49 * 1028 m-3.

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  1. 8 February, 23:19
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    17.41 minutes

    Explanation:

    i = 260 A

    A = 0.2 cm^2 = 0.2 x 10^-4 m^2

    l = 1 m

    n = 8.49 x 10^28 per cubic meter

    Let the drift velocity is vd.

    The relation between the current and the drift velocity os given by

    i = n e A vd

    260 = 8.49 x 10^28 x 1.6 x 10^-19 x 0.2 x 10^-4 x vd

    vd = 9.57 x 10^-4 m/s

    Let the time taken be t

    time = distance / speed

    t = l / vd = 1 / (9.57 x 10^-4) = 1044.93 seconds = 17.41 minutes
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