How long does it take electrons to get from a car battery to the starting motor?

Question

How long does it take electrons to get from a car battery to the starting motor? Assume the current is 340 A and the electrons travel through a copper wire with cross-sectional area 0.260 cm2 and length 0.860 m. The number of charge carriers per unit volume is 8.49 1028 m-3.

Number                 Unit How long does it take electrons to get from a car battery to the starting motor? Assume the current is 340 A and the electrons travel through a copper wire with cross-sectional area 0.260 cm2 and length 0.860 m. The number of charge carriers per unit volume is 8.49 I 1/2 1028 m-3. Number Unit

Explanation / Answer

apply drift speed vd = i/neA

Vd = 340/(8.49e28 * 1.6e-19 * 0.26e-4)

vd = 9.62 *10^-4 m/s

now V = d/t

so t = 0.860/9.62*10^-4

t = 893.2 secs   or   893.3/60 = 14.89 mins

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